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'I' Ill 0 . .o A . ..III E III ' - LIBRARY Michigan State University This is to certify that the dissertation entitled NANOPARTICLE ASSEMBLY IN POLYMER BASED SOLAR CELLS presented by Jonathan W Kiel has been accepted towards fulfillment of the requirements for the Ph D degree In Chemical Engineerinl T 14M Major Professor’ 3 Signature Ol/w/ZOIO Date MSU is an Affirmative ActiorVEquaI Opportunity Employer -A_l-A-A-;-0-0-C-0-0-!-I-I'l-I-l-I-.-.-O-O-o--t-l-I-I-I_l-o-I-.- on-I-o--n-o-o-n-u-I-I-I-n-n-.--—»— —- — PLACE IN RETURN Box to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 5/08 K:IProjIAoc&PresJClRC/DateDue.indd NANOPARTICLE ASSEMBLY IN POLYMER BASED SOLAR CELLS By Jonathan W Kiel A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chemical Engineering 2010 ABSTRACT NANOPARTICLE ASSEMBLY IN POLYMER BASED SOLAR CELLS By Jonathan W Kiel Polymer solar cells have become an intense focus of research due to their promise as a lightweight, flexible and inexpensive alternative to traditional, inorganic solar cells. A typical polymer solar cell consists of a light-absorbing polymer and electron-accepting fullerene derivative, both of which have poor electrical transport properties compared to inorganic materials. Due to the poor electrical properties the performance of these devices is dictated by their nanoscale morphology. In this work we report a detailed characterization study of the internal structure of a traditional poly(3—hexylthophene) (P3HT) : [6,6]-phenyl-C61-butyric acid methyl ester (PCBM) solar cell. Phase Sensitive Neutron Reflectivity (PSNR) was used to map the vertical profile of PCBM through the active layer of a solar cell. From these results we found that directly after fabrication a large amount of PCBM agglomerates at the substrate of a device and near, but not at the metal electrode; an opposite structure than desired. Thermal annealing caused some of the PCBM to migrate to the metal electrode, improving device performance. Small Angle Neutron Scattering was used to determine the size of PCBM clusters both before and afier thermal annealingr It is widely known that thermal annealing improves device performance but annealing also increases total device photoluminescence, a competing efl‘ect. We show that upon annealing the PCBM particles cluster together creating better pathways for electron conduction but this clustering creates larger void space for increased photoluminescence. We have created nanorough substrates that enhance overall device performance. These substrates increased the total interfacial area between the conducting oxide and active layer and improved light harvesting within the devices. These effects acted together to more than double the efficiency of a standard device. Finally, an overview of nanoparticle assembly within polystyrene, poly(methyl methacrylate) and poly(3-hexylthiophene) is presented. We demonstrate a substantial amount of control over the assembly of nanoparticles at different interfaces within thin films by changing either the stabilizing ligand of the nanoparticle or the polymer matrix. ACKNOWLEDGEMENTS This dissertation was produced over a period of 4 years and 10 months at two universities, Michigan State University and the University of Delaware, with a great deal or work being performed at the National Institute of Standards and Testing Center for Neutron Research. With three institutions heavily involved in this work it is difficult to adequately acknowledge everyone who has helped me as I completed this work. My advisor, Michael Mackay, deserves the first acknowledgement. Beginning a new area of research for the lab and moving universities has been difficult but rewarding. Michael was there through all of it and I am a better scientist for having worked under Michael for my PhD. Professor Phil Duxbury was like a second advisor for me and I understand the basics of polymer solar cells because of him. Phil’s door was always open and I am grateful to him for his help and guidance. Dr. Brian Kirby and Dr. Chuck Majkrzak of NIST have been instrumental in a great deal of the work presented in this dissertation and are two of the most enthusiastic and helpful people I have met. I am lucky to have worked with them and learned from them. All of the electron microscope images in this work are a result of Dr. Alicia Pastor’s teaching and assistance. I am grateful for her help and friendship during my years in graduate school. I could not have completed graduate school without the help and guidance of all of the Mackay lab members who aided me so much in my work. First and foremost Jon Seppala and Erica Tseng. Jon, Erica and I began grad school together and moved to Delaware together; I could not have asked for better fiiends or colleagues during this journey. The former group members who taught me many of the techniques I used iv throughout my PhD; Melissa Yaklin, Tiffany Bohnsack, Dave Bohnsack, RS Krishnan and Anish Tuteja deserve a great amount of thanks as do the newer group members who brought enthusiasm at a much needed time; Brett Guarlnick, JJ Wie, Hao Shen and Wenluan Zheng. Without Bakhtyar Ali and Susan Huang at the University of Delaware I would not have been able to make polymer solar cells nor understand much of the basics of solar cell principles. I am honored to have worked with them and consider them fiiends. My friends, both at MSU and UDel, are some of the most important people in my life. Their friendship cannot be looked upon highly enough. Finally, my family. My parents Bernie and Bill, sister Lynn, Brother-in-Law Joe, niece Addison and, of course, Hannah, are hands down my favorite people in the world. Their support and enthusiasm through this process has been amazing. TABLE OF CONTENTS LIST OF TABLES - - - -- - - - - - -- -- - - - ---IX LIST OF FIGURES - - - - - - - - - ..... X LIST OF SYMBOLS AND ABBREVIATIONS - - XIX CHAPTER 1: INTRODUCTION -- 1 1.1 Motivation ................................................................................................................ 1 1.2 Thesis Outline .......................................................................................................... 5 CHAPTER 2: POLYMER BASED SOLAR CELLS: BACKGROUND AND OPERATING PRINCIPLES 7 2.1 Introduction .............................................................................................................. 7 2.2 Background .............................................................................................................. 8 2.3 Solar Cell Operating Principles ............................................................................. l4 2. 3. 1 Equivalent Circuit Diagram ........................................................................... I 4 2.3.2 Testing Solar Cells .......................................................................................... I 5 2.3.3 Short Circuit Current ...................................................................................... 18 2.3.4 Open Circuit Voltage ...................................................................................... 20 2.3.5 Fill Factor ....................................................................................................... 21 2. 3. 6 Efi‘iciency ........................................................................................................ 22 2.4 Polymer Solar Cell Devices ................................................................................... 22 CHAPTER 3: NANOPARTICLE CONCENTRATION PROFILE IN POLYMER BASED SOLAR CELLS 31 3.1 Introduction ............................................................................................................ 3 1 3.2 Neutron Refelctometry ........................................................................................... 37 3.2.1 Specular Neutron Reflectometry ..................................................................... 3 7 3.2.2 Phase Sensitive Neutron Reflectometry .......................................................... 38 3.3 Experimental Methods ........................................................................................... 39 3.3.1 Neutron Reflectometry Samples ...................................................................... 39 3.3.2 Phase Sensitive Neutron Reflectometry Measurements .................................. 41 3. 3. 3 Density Measurements .................................................................................... 43 3. 3. 4 Solar Cell Fabrication and Testing ................................................................ 43 3.4 Results and Discussions ......................................................................................... 44 3.4.1 Pure Component Films ................................................................................... 44 3.4.2 Solar Cell Mimics ........................................................................................... 48 3.5 Conclusions ............................................................................................................ 58 vi CHAPTER 4: PCBM AGGLOMERATION IN POLYMER BASED SOLAR CELLS 60 4.1 Introduction ............................................................................................................... 60 4.2 Experimental Section ............................................................................................. 73 4. 2. I Neutron Scattering .......................................................................................... 73 4. 2. 3 X -ray Scattering .............................................................................................. 74 4.2.4 Photoluminescence Measurements ................................................................. 75 4. 2.5 Solar Cells ...................................................................................................... 75 CHAPTER 5: CREATION OF ROUGH SURFACES TO ENHANCE SOLAR CELL PERFORMANCE - - 76 5. 1 Introduction ............................................................................................................ 76 5.2 Rough Surface Creation ......................................................................................... 78 5.3 Solar Cells on Rough Surfaces .............................................................................. 81 5.4 Spectroscopic Measurements ................................................................................. 84 5.5 Discussion Section ................................................................................................. 90 5.6 Experimental Section ............................................................................................. 92 CHAPTER 6: NAN OPARTICLE ASSEMBLY IN THIN POLYMER FILMS ..... 93 6.1 Introduction ............................................................................................................ 93 6.2 Background ............................................................................................................ 94 6.2.2 Dewetting Inhibition ....................................................................................... 94 6. 2. 3 Nanoparticle Interfacial Assembly ................................................................. 97 6.3 Results and Discussions ....................................................................................... 100 6.3.1 Eflect of Changing Substrate ........................................................................ 100 6. 3. 2 Assembly of Higher Refi'active Index Nanoparticles .................................... 101 6. 3. 3 Nanoparticle assembly in P3HT ................................................................... 105 6.4 Conclusions .......................................................................................................... 1 10 6.5 Experimental ........................................................................................................ 1 11 6. 5. I Dewetting Experiments ................................................................................. I I I 6. 5. 2 Transmission Electron Microscopy .............................................................. I 12 6. 5. 3 Thermal Analysis .......................................................................................... I 14 6. 5. 4 Atomic Force Microscopy ............................................................................ I I 4 CHAPTER 7: CONCLUSIONS ....... 115 7.1 Future Work ......................................................................................................... 1 16 APPENDIX A: HOW TO MAKE POLYMER BASED SOLAR CELLS ............. 118 Al Patterned Slide Preperation .................................................................................. 118 A2 Slide Cleaning ...................................................................................................... 123 A3 PEDOTzPSS Application ..................................................................................... 123 A.4 Active Layer Application ..................................................................................... 125 A5 Electrode Deposition ............................................................................................ 126 vii APPENDIX B: POLYMER FILM THICKNESSES -- ..... 129 B. l Polystyrene ........................................................................................................... 1 30 B.2 Poly(methyl methacrylate) ................................................................................... 13 1 B3 Poly(3-hexyl thiophene) ....................................................................................... 132 B4 Poly(dimethyl siloxane) ....................................................................................... 133 B .5 Polyisobutene ....................................................................................................... 1 34 APPENDIX C: IDEALITY FACTOR PLOTS - 135 CI P3HT: PCBM device on a pure PEDOT: PSS substrate with no LiF between the Al and active layer. .............................................................................................................. 135 C2 P3HT:PCBM device on a PEDOTzPSS substrate with 10 mg/ml SiOz particles dispersed within the PEDOTzPSS solution. .................................................................... 138 C3 P3HT:PCBM device on a PEDOTzPSS substrate with 20 mg/ml SiOz particles dispersed within the PEDOTzPSS solution. .................................................................... 141 C4 P3HT:PCBM device on a PEDOTzPSS substrate with 40 mg/ml Si02 particles dispersed within the PEDOTzPSS solution ..................................................................... 144 REFERENCES - - - - - - - 147 viii LIST OF TABLES Table 2.1: Basic parameters for solar cells as cast and annealed both with and without a 1 nm LiF layer between the Al electrode and the active layer ............................................. 24 Table 2.2: Series (R5) and Shunt (RSH) resistances of the four devices shown in Figure 2.8. Annealing and adding a layer of LiF both improve device performance, which is indicated by a decrease in Rs. However, these processing condition changes do not seem to affect RSH. ..................................................................................................................... 25 Table 3.1: PCBM volume percentages at the air interface, substrate interface and averaged over a 10 nm depth at both interfaces for comparison to the XPS data of Xu et al."'1 The two spin coating speeds, 800 and 2500 RPM, were used for comparison to the Slow and Fast evaporation conditions used by Xu et al. The concentrations for the sample prepared at 2500 RPM was determined by simultaneous fitting of the two profiles (Sim. Fit) as well as with PSNR while the 800 RPM concentrations were determined solely by simultaneous fitting. The data are from Figure. 3.5. ........................................ 55 Table 4.1: As cast and annealed solar cell properties and their relative photoluminescence obtained by integrating both curves between the wavelengths studied ........................................................................................................................................... 63 Table 4.2: Comparison of PCBM agglomerate size and polydispersity, spacing and P3 HT crystallite size. Fitting the neutron scattering data resulted in the concentration of the PCBM agglomerates and the amount of PCBM in the surrounding polyrner-rich phase (matrix). These concentrations were added together to get the total PCBM concentration which, based on the solution concentration, should be 47%. ........................................... 68 Table 5.1: Solar cell properties of the devices shown in Figure 5.3. They symbols next to each cell title correspond to the device J-V curves in Figure 5.3. ................................ 81 Table 5.2: Total PEDOTzPSS surface area increase and surface coverage change upon addition of Si02 particles into a film of PEDOTzPSS. ..................................................... 84 LIST OF FIGURES Figure 2.1: The molecular structure of PCBM and P3HT ............................................... 11 Figure 2.2: (a) The structure of a typical polymer based solar cell comprised of P3HT and PCBM and (b) its ideal band diagram. The lithium fluoride layer is lefi out of the band diagram because its conduction and valence bands (1.0 and 14 eV, respectively)20 do not match with either PCBM or A1. Much research has shown the addition of a thin layer of LiF between the back contact of a cell and the active layer greatly improves performance but the reason for this enhancement is still unknown. ................................. 13 Figure 2.3: Equivalent circuit diagram of an illuminated solar cell. ............................... 14 Figure 2.4: Solar spectrum for AM 0, Am 1.5 Global and AM 1.5 Direct sunlight ........ 16 Figure 2.5: Geometric description of how AM 0, AM 1.0 and AM 1.5 spectra impact earth and the atmosphere. ................................................................................................. 17 Figure 2.6: Typical I-V curve obtained from testing a solar cell. Upon illumination a solar cell is defined mainly by three major points from the I-V curve, the open circuit voltage (Voc) the short circuit current (15c) and the fill factor (FF). ................................ 18 Figure 2.7: Theoretical maximum current density (15c) obtainable versus band gap.21 .. 19 Figure 2.8: Current Density versus Voltage plot for solar cells as cast and after annealing for 20 minutes at 140°C. Closed symbols denote annealed devices and open symbols denote as cast devices. The squares indicate a device was fabricated with a 1 nm layer of LiF between the active layer and aluminum and the circles indicate no LiF was used. 23 Figure 2.9: Illuminated and dark currents of a typical P3HT:PCBM solar cell fabricated with a 1 nm LiF layer between the Al electrode and active layer ..................................... 27 Figure 2.10: Derivative of current versus voltage (dJ/dV) of both the illuminated and dark currents of a typical P3HT:PCBM solar cell fabricated with a 1 nm LiF layer between the A1 electrode and active layer. The dark current shows good diode behavior which is seen with the flat dJ/dV profile at low V but the illuminated device shows substantial voltage dependant current values .................................................................... 28 Figure 2.11: Plot of dV/dJ versus J'1 to determine the ideality factor of an annealed P3HT:PCBM solar cell with LiF as an interlayer. The main body of the plot displays all the data obtained for values of J > O and plots the straight line at low values of J. The inset shows a magnified view of the higher current region (i.e. far from Voc). The values of Rs reported were obtained from each best fit line. They differ because RS is determined from the dV/dJ intercept, which will change depending on the part of the dataset chosen for a best fit line. ....................................................................................... 29 Figure 3.1: Idealized energy diagram of a P3HT:PCBM solar cell, showing ideal alignment of the molecular orbitals and work functions, has the PCBM component of the cell in contact with the aluminum electrode and the P3HT component in contact with the hole conducting layer of PEDOTzPSS. ............................................................................. 33 Figure 3.2: Defocused transmission electron microscopy cross sectional images of polymer samples prepared by ultramicrotomy shows little difference for a variety of materials. A 1:1 by weight PCBM:P3HT blend (a) and pure polystyrene (b) both have lighter and darker regions demonstrating the difficulty in interpreting such images. ...... 37 Figure 3.3: A cross sectional image of the wet cell holder used for Phase Sensitive Neutron Reflectivity measurements. The path of the neutron beam enters through a silicon ‘fronting’, encounters the film being studied and exits through to the ‘backing’ reservoir, which was either air or D20 for this experiment. ............................................. 42 Figure 3.4: (a) Reflectance (R) times wave vector (q) to the fourth power versus wave vector for a pure P3HT film spin coated at 2500 RPMs with associated best fits and (b) the SLD and corresponding density profile of the best fit lines. A varying density profile (black line) fits the data much better than the constant density profile (gray line), indicating the density of the P3HT film varies slightly as a function of depth. ............... 45 Figure 3.5: (a) Reflectance (R) times wave vector (q) to the fourth power versus wave vector for a pure P3HT film spin coated at 2500 RPMs and annealed at 140°C for 20 minutes with associated best fits and (b) the SLD and corresponding density profile of the best fit lines. A varying density profile (black line) fits the data much better than the constant density profile (gray line), indicating the density of the P3HT film varies slightly as a function of depth. A noticeable increase in density is seen at the substrate. ............ 46 Figure 3.6: Reflectance (R) times wave vector (Q) to the fourth power versus wave vector for pure PCBM. The solid dark line is the best fit line to the data, corresponding to a density of 1.25 g/cc and the grey dashed line is the calculated reflectance for a PCBM film with a density of 1.5 g/cc. ............................................................................. 47 xi Figure 3.7: Neutron reflectivity uses the natural contrast between P3HT and PCBM to determine the scattering length density (SLD) and eventually the concentration profile. (a) Reflectivity multiplied by wave vector to the fourth power (RQ’) versus wave vector for the sample spin coated at 2500 RPM using either an air (triangles) or D20 (circles) backing and associated best fits found though simultaneous fitting of both datasets. The deuterium allows characterization to larger wave vector and more accurate determination of the SLD profile. (b) The best fits of the reflectivity data for the SLD profile were found via the PSNR calculations as well as simultaneous fitting of both data sets (Sim. Fit-Air & Sim. Fit D20) and the Parratt formalism for the air backed sample (Parratt Fit- Air). An expansion of the distance axis shows (c) the SLD near the substrate (vertical dotted line) where the SLD bump due to silicon dioxide in the simultaneous fit is clearly visible and (d) the SLD near the air interface (vertical dotted lines) which isquite similar to the SLD of pure P3HT (horizontal dotted line) within the first 2 nm. The sample was unannealed and characterized directly after spin coating. ................................................ 50 Figure 3.8: (3) Composite reflectivity data sets obtained for the Slow Grown film and fits which were determined simultaneously and (b) the Slow Grown film SLD profile obtained by simultaneous fitting of the corresponding data. As the SLD profiles were simultaneously fitted the profiles overlap until the backing layer was reached and they differ with the air backing film going to SLD = oiclotA'2 and the D20 backing film going to an SLD = 6.2x10 A'z. ....................................................................................... 51 Figure 3.9: The concentration determined from neutron reflectivity shows a large amount of PCBM near both interfaces. (a) Spin coating at either 800 or 2500 RPM yields very similar concentration profiles, determined from the SLD profile, with slight differences near the interfaces (see inset). The film thicknesses were 140 nm (800 RPM) and 90 nm (2500 RPM) and used to normalize the distance through the film. (b) A cartoon of a possible PCBM/P3HT morphology demonstrating higher PCBM concentration near the interfaces with a large P3HT concentration within 3 nm of the air interface (see Fig. 3.1). ........................................................................................................................................... 53 Figure 3.10: The PCBM concentration profile changes upon annealing by broadening the peaks near the interfaces which certainly influences solar cell performance. (a) The PCBM concentration versus normalized distance graph for a PCBM/P3HT blend spin coated onto a PEDOTzPSS layer shows peak concentrations near the interfaces for the unannealed (84 nm thick) and annealed (75 nm thick) cases. The PCBM concentration peaks widen at the interfaces and the PCBM concentration increases near the air interface after annealing. The Parratt formalism was used in all cases to invert the reflectivity profiles and “Substrate” indicates the top of the PEDOT/PSS layer. (b) The current density - voltage curve changes between the unannealed and annealed conditions for a solar cell and is certainly, in part, due to the change in the concentration profile. The film thicknesses were 90 nm for both cases and the efficiency, fill factor and open circuit voltage were 1.7%, 0.44 and 0.5 V, respectively, for the annealed cell. .......................... 57 xii Figure 4.1: Comparison of thermal annealing effects on photoluminescence and solar cell performance. Thermal annealing a 1:1 by weight P3HT:PCBM solar cell at 140°C for 20 minutes increases the total amount of photoluminescence (a), indicating a much higher degree of geminate recombination. However, this annealing also produces a much improved device (b) with device efficiency increasing from 1.2% to 2.9% ..................... 62 Figure 4.2: Plot of intensity (1) versus wave vector (q) for both the annealed and unannealed samples of 1:1 by weight ratio of PCBM and P3HT as well as annealed and unannealed samples of pure P3HT. Annealing pure P3HT has no noticeable effect on the scattering but annealing the mixture shows a clear increase in scattering, indicating a substantial change in PCBM agglomerate size. The solid lines labeled “Best Fits” are from a polydisperse Schulz model having hard sphere interactions as described in the text ..................................................................................................................................... 67 Figure 4.3: Cartoon of morphology change after thermal annealing. The PCBM particles are well dispersed after spincoating and a poor charge transport network results due to lose interconnectivity of the PCBM aggregates. The PCBM and P3HT form better transport networks after annealing through a coarsening of the structure with a subsequent increase in spacing between PCBM aggregates. These two effects yield an increase in efficiency through better conductive pathways but simultaneously increase photoluminescence due to greater interparticle gaps. ....................................................... 69 Figure 4.4: Grazing-Incidence X-ray Diffraction (GIXRD) plot of intensity versus wave vector (q) for an as cast and annealed film of a 1:1 by weight mixture of P3HT and PCBM. The peak narrowing and decreased FWHM of the annealed sample indicates an increase in P3HT crystallite coherence length from 9 to 16 nm. ...................................... 71 Figure 5.1: Top down and 3D AF M images of (a,c) pure PEDOT:PSS and PEDOT:PSS films containing (b,d) 10 mg/ml, (e,g) 20 mg/ml and (f,h) 40 mg/ml Si02 particles in the initial solution. Increasing the solution concentration of SiOz increases the overall surface coverage and roughness of the PEDOT:PSS coated films. .................................. 79 Figure 5.2: Top down and 3D AF M images of a 1:1 by weight film of P3HT and PCBM on top of PEDOT:PSS with varying concentrations of SiOz in the initial solution. (a,c) pure PEDOT:PSS and PEDOT:PSS films containing (b,d) 10 mg/ml, (c,e) 20 mg/ml and (d,f) 40 mg/ml SiOz particles in the initial solution. Increasing the solution concentration of Si02 increases the overall surface coverage and roughness of the PEDOT:PSS coated films. ................................................................................................................................. 80 Figure 5.3: Current density (J) versus voltage (V) plot of solar cells having an increasing amount of SiOz particles dispersed within the PEDOT:PSS layer. The pure PEDOT:PSS device produces the worst cell but upon addition of SiOz in the PEDOT:PSS layer the efficiency, short circuit current and fill factor all increase. .............................................. 82 xiii Figure 5.4: Absorbance spectrum of PEDOT:PSS layers on glass with increasing amounts of SiOz dispersed within. A larger amount of SiOz dispersed within the PEDOT:PSS layer shows a higher light absorbance, which indicates an increase in scattered light from the SiOz particles. The inset shows scattering efficiency versus wavelength for Mie scattering theoretical calculations across 120 nm spheres. The scattering increase according to Mie theory directly correlates with the increase in observed absorbance in the rough PEDOT:PSS layers suggesting Mie scattering from the 120 nm SiOzspheres is the cause for the increase absorbance. ......................................... 86 Figure 5.5: Diagram of proposed scattering from rough surfaces with SiOz inclusions. For a pure PEDOT:PSS film (a) a percentage of the incident light is absorbed by the layer and the rest passes through into the detector. For a rough PEDOT:PSS film with SiOz inclusions (b) the same proportion of the incident light is absorbed by the film but a proportion of the non-absorbed light is scattered away from the detector. ...................... 87 Figure 5.6: Absorption spectrum of 1:1 by weight P3HT:PCBM films on top of PEDOT:PSS films with various concentrations of Si02 particles within the film. An increase in the amount of Si02 particles within the PEDOT:PSS film increases the overall absorption, but the increase is small compared to the increases seen in the device properties ........................................................................................................................... 89 Figure 5.7: Photoluminescence data of 1:1 by weight P3HT:PCBM films on top of PEDOT:PSS films with various concentrations of Si02 particles dispersed within. An increase in the amount of SiOz particles within the PEDOT:PSS film total photoluminescence to a much greater degree than the observed solar cell properties or absorbance ......................................................................................................................... 90 Figure 6.1: Time resolved optical micrographs (a-f) of thermal annealing a 75 nm thick film of pure 115 kDa PS on a silicon wafer Silanized with Sigmacote ®. The large pictures show the onset and continued dewetting of the PS film over the course of 50 minutes and the insets show a similar 75 nm thick film of PS with 1 monolayer equivalent 60 kDa PS nanoparticles dispersed within, which completely inhibit dewetting. .......................................................................................................................... 96 Figure 6.2: TEM image of a four layer system of polystyrene and o-CdSe nanoparticles on a PET substrate created in two spin coats. A mixture of 140 kDa crosslinkable PS with nanoparticles was spin coated onto a PET substrate, annealed at 170°C for 12 hours, cross linked at 220°C for 20 minutes and repeated. ........................................................ 101 xiv Figure 6.3: Cross sectional TEM images of polystyrene films with pyridine coated cadmium selenide nanoparticles dispersed within. (a) A four layer system of PS and p- CdSe nanoparticles created by spin coating the PS/p-CdSe mixture, annealing the film followed by cross-linking the polymer and then repeating the process. (b) Cross sectional image of the PS/p-CdSe film directly after spin coating. ............................................... 102 Figure 6.4: Cross sectional images of oleic acid coated CdSe nanoparticles assembled at the substrate of thin PMMA films. Due to the difference in refractive index of PMMA from PS the o-CdSe particles assemble at the substrate compared to the air interface as shown in previous work”. The assembly is very robust and occurs in (a) thin films less than 100 nm, and (b) films approaching 400 nm in thickness. ....................................... 103 Figure 6.5: A thin film of polystyrene with both o-CdSe and p-CdSe nanoparticles dispersed within. After annealing above the glass transition temperature of PS the o- CdSe particles migrate to the air interface while the p-CdSe particles migrate to the substrate. To the left and right of the TEM image are representations of the CdSe particles with their respective stabilizing ligands. .......................................................... 104 Figure 6.6: Plot of thermal gravimetric analysis (left axis) and differential scanning calorimitry (right axis) of pure P3HT. The onset of melting and degredation are almost identical at about 200°C (horizontal dashed line) indicating thermally processing P3HT for assembling nanoparticles may not be feasible. ......................................................... 106 Figure 6.7: Cross sectional TEM images of films of (a) pure P3HT with dispersed p- CdSe particles assembling on the top of the film and (b) a solar cell mimic film consisting of a 1:1 by weight mixture of P3HT and PCBM with a small volume fraction of p-CdSe particles dispersed within. Upon heating to 250°C in a nitrogen environment the CdSe particles assemble into the middle of the film, presumably on top of a layer of PCBM that has assembled at the substrate and extends upwards to roughly the middle of the film based on the volume fraction of PCBM added. .............................................................. 108 Figure A1: A cartoon of the mask used to make the majority of the devices used in this work and the associated ITO pattern it eventually creates. The dashed square is the outline of a slide the mask will cover. ............................................................................ 121 Figure A2: Top down and cross sectional views of applying PEDOT:PSS onto patterned ITO slides and the subsequent removal of the layer from the edges to allow for good electrical contact during testing. ..................................................................................... 124 Figure A3: Top down and cross sectional views of applying the active layer onto patterned ITO slides with a PEDOT:PSS layer and the subsequent removal of the layer from the edges to allow for good electrical contact during testing. ................................ 126 Figure A4: Top down and cross sectional views of deposited electrode. The dashed squares indicate where the active area of the four solar cells created fi'om this masking pattern. ............................................................................................................................ 127 Figure A5: Process map of the 6 steps (starting from clean ITO slides) needed to make a polymer based solar cell on glass slides using a transparent electrode, in this case indium tin oxide (ITO). ............................................................................................................... 128 Figure Bl: Concentration versus height data for 75 kDa polystyrene. Both toluene and pyridine were used as solvents and spinning speeds were 2000 and 5000 RPMS. Closed symbols represent height data from ellipsometry and open symbols represent height data obtained from X-ray reflectivity. Both Erica Tseng and Wenluan Zhang aided in obtaining the PS height data. .......................................................................................... 130 Figure B2: Concentration versus height data of 72.6 kDa and 49.2 kDa poly(methyl methacrylate) in toluene and chlorobenzene. All films were spin coated at 5000 RPMs and all data is from ellipsometry. .................................................................................... 131 Figure B3: Concentration versus height data of P3 HT in chlorobenzene spin coated at 5000 RPMS. Height data was obtained from scratching a film and measuring the step height of the scratch. ....................................................................................................... 132 Figure B4: Concentration versus height of PDMS in toluene spin coated at 5000 RPMS. The PDMS used in this study was cross-linkable PDMS from Dow, Sylgard® 184, that can be cross-linked within 30 minutes at 60°C. Height data was obtained from ellipsometry ..................................................................................................................... 133 Figure B5: Concentration versus height of PIB in toluene spin coated at 5000 RPMS. The PIB used in this study was low molecular weight and the polymer was liquid at room temperature. Height data was obtained from ellipsometry. ........................................... 134 Figure Cl: J-V curve of a P3HT:PCBM device on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. ........................................... 135 Figure C2: dJ/dV versus V plot of a P3HT:PCBM device on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage ....................... 136 _ Figure C3: dV/dJ versus 1'1 plot of a P3HT:PCBM device in the dark on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode ........ 137 Figure C4: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 10 mg/ml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. ........................................................................................................ 138 Figure C5: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 10 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. ............................................................................... 139 Figure C6: dV/dJ versus J'l plot of a P3HT:PCBM with 10 mg/ml of Si02 particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. ........................................................................................................ 140 Figure C7: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 20 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. ........................................................................................................ 141 Figure C8: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 20 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage ................................................................................ 142 Figure C9: dV/dJ versus J'l plot of a P3HT:PCBM with 20 mg/ml of SiOz particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. ........................................................................................................ 143 Figure C10: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 40 mg/ml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum xvii electrode. The series resistance reported is taken from the Slope of the J-V curve at the open circuit voltage. ........................................................................................................ 144 Figure C11: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 40 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current Shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. ............................................................................... 145 Figure C12: dV/dJ versus J'l plot of a P3HT:PCBM with 40 mg/ml of Si02 particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. ........................................................................................................ 146 xviii 3» Q 3 >®EDJtfiP80 i> — N 0) AFM LIST OF SYMBOLS AND ABBREVIATIONS Angstrom absorption coefficient (unites are inverse centimeters) (cm'l) dielectric constant of a material dielectric permittivity of a vacuum Wavelength (units are Angstroms or nanometers) (A or nrn) Pi charge carrier mobility Efficiency Maximum packing fraction of particles Volume fraction of particles Scattering angle Hamaker constant . Hamaker constant ordering for a tri-layer system of three components Atomic force microscope Aluminum Aluminum Oxide Cubic centimeters Cadmium selenide Cadmium selenide nanoparticles coated with an oleic acid stabilizing layer Cadmium selenide nanoparticles coated with a pyridine stabilizing layer Degrees Celsius Carbon Dioxide Diameter Diffusion coefficient of an electron Diffusion coefficient of a hole Deuterium oxide Dynamic light scattering Differential Scanning Calorimetry Derivative of term X Energy External quantum efficiency Electron volts Fill factor Grams Gigawatt xix HF HOMO Edge to edge distance between particles hydrofluoric acid Highest occupied molecular orbital Current (units are arnperes) (A) Light intensity Illuminated current (units are arnperes) (A) Incident light intensity Dark current, also called saturation current (amperes) (A) Internal Quantum Efficiency Indium tin oxide Current Density Short circuit current density (milliamperes/square centimeter) (mA/cmz) Boltzmann’s constant (electron volts/temperature) (eV/K) Diffusion length of an electron Diffusion length of a hole Lithium fluoride Lowest unoccupied molecular orbital milligram milliliter Molecular Weight Refiactive index Non-ideality coefficient in the diode equation Intrinsic carrier concentration Acceptor dopant concentration Donor dopant concentration Near edge x-ray absorption fine structure spectroscopy nanometer Polydispersity Index poly(ethylene terephthalate) polyisobutene Photoluminesence poly(3-hexylthiophene) poly(ethylene dioxythiophene) [6,6]-phenyl-C61-butyric acid methyl ester poly(methyl methacrylate) Phase sensitive neutron reflectivity polystyrene polystyrene sulfonate XX Wave vector, generally used for reflectivity (inverse Angstroms) (A'l) Wave vector, generally used for SANS (inverse Angstroms) (A'l) Charge of an elemental particle, either an electron or hole (eV) Reflectivity or Reflectance Revolutions per minute Series resistance (ohms) (Q) Shunt resistance (ohms) (0) Silicon Silicon dioxide or silica Small angle neutron scattering Scanning electron microscope Scattering length density (unit are inverse Angstroms squared) (A'z) Temperature Degradation temperature Glass transition temperature Transmission electron microscope Terrawatt Thermal Gravimetric Analysis Ultraviolet & Visible spectrum spectroscopy Voltage Open circuit voltage (units are volts) (V) Watt X-ray photon spectroscopy X-ray diffraction vertical distance through a film or sample xxi CHAPTER 1: INTRODUCTION 1.1 Motivation The increasing globallenergy demand is one of society’s greatest engineering problems. Our society and way of life depend on having an abundant energy supply and the worldwide demand for energy is increasing at a rapid rate. In 2001 the total world energy consumption was roughly 12 terawatts (TW) and in 2008 consumption had increased to over 15 TW. Current predictions indicate a worldwide energy demand of roughly 40 TW by 2050, almost triple our current usage.l Approximately 85% of today’s energy is created by burning fossil fuels; mainly coal but a significant amount of oil and natural gas as well. A large coal powered electricity plant produces about 1 gigawatt of energy, which means meeting the worlds increasing energy demands requires bringing over 10 coal powered electricity plants online every week for the next 40 years. Coupled with increasing worldwide energy demand is securing an energy source for our future. The United States imports roughly 60% of all its petroleum and over 50% of those imports come from politically unstable countries.2 With unstable politics, increased pricing, the emerging economies of India and China and the ever growing demand for more energy, finding an energy source not dependent on foreign suppliers is of high importance for our country. Alongside this increase in energy demand and concern over a stable energy supply is an increase in carbon dioxide (C02) emissions from the massive amount of burning fossil fuels. C02 is a well known greenhouse gas, meaning it absorbs infrared radiation from the Earth, not allowing the radiation to escape from the atmosphere. Greenhouse gasses are vital to life on Earth because they keep surface temperatures hospitable, however, a substantial amount of data exists showing a correlation between C02 emissions and increasing temperatures on Earth. Global warming is a hot issue in both science and politics today with critics on both sides of the issue. This dissertation will not discuss whether global warming is real and if C02 is truly a contributor to global temperature rise but few people will argue that reducing C02 emissions will have a negative impact on the global environment. To meet increasing energy demands without emitting such a massive amount of C02 and other pollutants from burning fossil fuels, 3 switch to renewable energy sources must begin. Many renewable sources exist including biomass, wind, geothermal, tidal and solar and all of these are being investigated to some extant or another as possible alternatives to fossil fuels. Nuclear is also a potential option but, due to a great deal of public fear and governmental regulations, it is a relatively small source of power worldwide outside of France. As for the truly renewable sources, wind, hydroelectric and biomass provide roughly 2 TW of total worldwide energy combined. Wind farms are becoming more prevalent today because of their relative ease of installation and large, commercial scale integration that makes them more cost competitive than the others. Biomass, which is mainly used as a fuel for heat, is receiving a great deal of attention for its potential to be converted to a liquid fuel such as ethanol and geothermal, due in large part to increases in drilling technology, has some backing as a potential energy supplier. Despite the great deal of attention these energy sources are receiving, their total energy potential is rather limited. Lewis and Nocera point out that all of these energy sources, biomass, hydroelectric, wind, geothermal and tidal have substantial limits on their practicality.l In fact, the total potential of all of these energy sources combined, assuming complete harnessing of all plausible energy from each source, amounts to less than 18 TW. This is a substantial amount of energy but obtaining all 18 TW still leaves the world roughly 7 TW short of the projected 40 TW demand in 2050. Essentially an infinite supply of energy, the sun provides a constant 120,000 TW incident on the earth with over 600 TW assumed to be harvestable.l With such a massive amount of energy irradiating the Earth, solar energy is an obvious renewable source to aid in the ever increasing energy demands. Despite its seemingly infinite supply, solar energy is an insignificant fraction of the world’s energy. Due to its large required area, low efficiencies and the fact that only about 8 hours of the day produce a substantial amount of energy in any one location, solar energy has proven to be uneconomical in today’s world. In 2008 the total worldwide production of solar cells was 5.6 GW. This means that at peak sunlight all of the cells combined could produce 5.6 GW of electricity, less than 0.01% of the world’s energy supply and as these devices only operate at peak sunlight for a short period each day the actually energy output is significantly less. Solar cells made from inorganic materials have been around for many years and were first developed into a commercial product in 1942 by Bell Labs. Despite this long history they remain an insignificant fraction of the world’s energy supply due to their high cost compared to fossil fuel energy. Until recently, most solar cells were made from single crystal Silicon ingots that were cut and placed into large modules. These devices have decent efficiencies, ~12-15%, but are costly due to the large amount of labor involved as well as the high cost of creating high quality single crystal silicon. More recently thin film devices, such as cadmium teleuride (CdTe) and copper indium gallium selenide (CIGS) devices have seen a massive increase in research and commercialization. Thin film devices have the benefit of being faster and cheaper to produce because continuous processing such as evaporation and sputtering can be used as opposed to cutting slices of individual ingots. While faster, these thin film modules still are energy intensive, relatively slow to manufacture and require expensive and sometimes exotic raw materials. A better material for solar cells, in terms of speed and low manufacturing costs is plastic. Polymers are cheap, easy to make on very large scales and can be produced in a roll to roll process extremely efficiently. Optically active polymers, otherwise known as semiconducting or highly conjugated polymers, have very high absorption coefficients meaning they can be made very thin, roughly 100 nm, while still absorbing most of the incident light within their absorption spectrum. Having such small films means much less raw materials are needed. Polymer based devices are roughly 100 nm thick compared to roughly 100 microns for a crystalline silicon cell. This difference in thickness correlates to almost 3 orders of magnitude less material needed than silicon based devices. Polymer based solar cells are relatively new devices with the first realistic polymer based device being produced in 1995.3 Unfortunately they are plagued with many intrinsic problems such as poor electrical conductivity, limited absorption spectrurns, high band gaps and short life times. The goal of this dissertation is to add to the overall understanding of polymer based solar cells, specifically by developing improved characterization techniques to probe the internal morphology of these devices. 1.2 Thesis Outline The general focus of this dissertation is to fully describe the internal structure of polymer based solar cells. Much research has gone into these devices over the past 15 years but a good description of the internal size scales and distribution of the polymer and nanoparticle used in these devices has not previously been available. Previous work has shown the charge transport within these devices is governed by length scales on the order of 10 nm and this work focuses on characterizing the devices at that length scale. Chapter 2 provides an overview of work performed on polymer based solar cells and a brief description of how these devices work. The chapter provides a basic understanding of the terms and experiments used to study solar cells and presents some of the characteristics of the devices. Chapter 3 is a description of the vertical profile of PCBM (the nanoparticle used in most polymer based solar cells) throughout the device. Most research in this field focused on the characteristics of the polymer and little consideration had been given to the location of PCBM with the devices. Determining the location of PCBM within these films is difficult because electron contrast between the nanoparticle and polymer is minimal. Neutron scattering, due to its natural contrast between the two components provides a great method to probe the locations of these components. This chapter describes the technique of neutron reflectometry, a more detailed probing method of phase sensitive neturon reflectometry and discusses the structure formed after spin coating and thermally annealing these devices. Chapter 4 focuses on using another neutron scattering technique, small angle neutron scattering (SANS) to determine the size of PCBM clusters formed upon spin coating and after thermal annealing. These solar cells use a very high volume fraction of nanoparticle, ~48%, making interparticle interactions and agglomeration of the particles extremely likely. This chapter describes the size of PCBM clusters formed upon creation of these devices and the effect of these clusters on device performance. Additionally, Chapter 4 answers a longstanding question in the field of how an annealed device will increase overall efficiency while also increasing overall photoluminescence. Chapter 5 focuses on making nanorough substrates for fabrication of these devices to enhance overall device performance. Incorporating silica nanoparticles into the hole blocking layer of these devices increases overall efficiency through a combination of increased contact area, light scattering and other synergistic interactions. Chapter 6 describes the characterization work done with nanoparticles dispersed in amorphous polymers in an attempt to better understand the forces dominating nanoparticle dispersion and assembly within solar cells. The amorphous polymer/nanoparticle characterization work is then extended into conjugated polymers used in solar cells. Chapter 7 summarizes the main conclusions of this dissertation and discusses possibilities for future work. Chapter 8 is a literature review of much of the important literature to this dissertation and the field of polymer solar cells in general. CHAPTER 2: POLYMER BASED SOLAR CELLS: BACKGROUND AND OPERATING PRINCIPLES 2.1 Introduction All solar cells consist of a light absorbing material where, upon light absorption, an electron is promoted from a ground state to an excited state. This promoted electron leaves behind a positively charged empty space called a hole, which is treated as if it were a particle with a mass, charge and mobility. Collectively this electron-hole pair is referred to as an exciton. An exciton is a quasiparticle bound together by a strong Coulombic interaction. As the Coulombic interaction of two particles varies inversely with the dielectric constant of their surrounding medium, particles in a lower dielectric media, such as a polymer matrix, will have much greater binding energy than particles in a higher dielectric material, such as an inorganic semiconductor. The binding energy of an exciton can be expressed as4 4 mred e _ 2(47reeo)2 It? (2.1) where E is the binding energy between the electron and hole, mred is the reduced mass of the exciton defined by mred = me*mh*/(me* + mh*) with m; and m}: being the electron and hole masses, respectively, e is the charge of the particle, e is the dielectric constant of the material, so is the dielectric permittivity of free space and h is Planck’s constant divided by 211:, one can see the total interaction of an exciton is governed by the dielectric constant of the medium. Traditional solar cells made from inorganic materials such as silicon or cadmium telluride have high dielectric constants ranging between 10 and 15, which produce excitons with energies around 0.015 eV.5 The thermal voltage at room temperature, kT/q, where q is the charge on an electron, k is Boltzmann’s constant and T is the temperature is about 0.025 eV. This means that any exciton created in a high dielectric constant material will most likely dissociate at room temperature. Highly dissociable excitons such as these are called Wannier—Mott excitons. Conjugated polymers, however, have dieclectric constants ranging between about 2-3, and create excitons with binding energies between 0.4 and l eV.6’ 7 An exciton with such a high binding energy, referred to as a F renkel exciton, is confined to the molecular unit in which it was created and requires an interface with a favorable energy band offset to dissociate. This high exciton binding energy limits the time an exciton will remain in an excited state which leads to a low diffusion length, one of the most damaging features of polymer based solar cells. 2.2 Background Dissociation of the exciton into free electrons and holes requires counteracting the Coulombic force holding the particles together. In 1992 Saricifici et al.8 showed the addition of C60 to thin films of poly[2-methoxy-5-(2'-ethyl-hexyloxy)-1,4-phenylene vinylene] (MEH-PPV) will quench photoluminescence. The C60 particles acted as 8 electron acceptors, overcoming the exciton binding energy and separating the charge carriers. However, due to the low solubility of C60, good pathways to the electrodes could not be formed and most dissociated charge carriers were unable to reach their respective electrodes, preventing these films from being good devices. In 1995 Yu et al.3 overcame the charge extraction problem by blending [6,6]-phenyl-C61-butyric acid methyl ester (PCBM), a more soluble derivative of C60, with MEH-PPV to create a solar cell of about 1.5% efficiency. Due to increased solubility a much larger amount of PCBM can be added to a thin film, forming an interpenetrating network of electron donors and acceptors called a bulk heterojunction. When an exciton is created by photoabsorption in a bulk heterojunction it is much more likely to encounter an acceptor, PCBM in this case, that has a pathway to an electrode. Polymers have intrinsically low and sluggish charge transport properties with electron and hole mobilities many orders of magnitude lower than those of inorganic 9, 10 materials and hence have exciton diffusion lengths of about 5-10 nm. An exciton diffusion length of this magnitude in a thin film of about 200 nm suggests a comb-like architecture for the active layer, with 200 nm long tines spaced at 10 nm intervals.” Thus, the device’s form is critical since there should be a clear path to each electrode after exciton dissociation with no inoperative material. Fabricating such a. structure is certainly a challenge. While the bulk heterojunction does allow for both exciton dissociation and charge transport to electrodes, it is not optimized and certainly not a well characterized morphology. Improving bulk heterojunction cell efficiency has been difficult, requiring comprehensive, empirical device manufacturing and subsequent testing. Processing parameters have been extensively studied with the aim of manufacturing a more suitable device. Brabec et al. '2 showed that changing the solvent from toluene to chlorobenzene for a device of Poly[2-methoxy-5-(3’,7'-dimethyloctyloxy)-l,4-phenylenevinylene] (MDMO-PPV):PCBM almost doubled device efficiency. The cells spin coated from cholorbenzene had the same open circuit voltage as the toluene cells but had over twice the short circuit current and nearly identical absorption properties. Since the absorption properties of each cell were the same, the doubling in efficiency indicated some internal morphological change that enhanced charge carrier transport. Original theories on this work suggested that changing from toluene to chlorobenzene increased the solubility of PCBM and created a more homogenous distribution of acceptors throughout the active layer. While this theory is in part true, more recently groups have shown that a slower drying solvent will enhance polymer crystallization, increasing the charge transport of the . . . . I material and allowing more efficrent charge extraction 3. Yang Yang’s group at UCLA has done extensive work showing both thermalM’ 15 and ‘solvent’ annealing13 of the active layer greatly increases polymer crystallization and therefore device properties. Spin coating a cell until most of the solvent is removed and then annealing the device at 120-1500C, which is well below the melting temperature of the material, adds enough thermal energy to enhance polymer crystallinity and improve charge transport. Spin coating for a short time, less than is required to remove all residual solvent from the device, and then letting the device dry slowly, termed ‘solvent’ 10 annealing in the polymer photovoltaic literature, allows a greater degree of crystallization and even higher device efficiencies. In addition to solvent choice and fabrication, increased molecular weight can also have a profound impact on device performance by increasing hole mobilities by orders of magnitude.16 In recent years groups have moved from PPV derivatives to poly(3-hexylthiophene) (P3HT), shown in Figure 2.1, because of P3HT’s increased crystallinity and better charge transport properties, which correlate into better performing devices. Because of the improved performance and the wealth of published data on P3HT we have chosen to study it in this dissertation. Furthermore, morphological characterization of this system has provided diverse, contradictory concentration profiles within the film not allowing a clear relation between structure and performance to be made. Crystallinity is obviously an important factor in device efficiency, but, given the extremely low exciton diffusion lengths, PCBM location is also vital to device properties. / \ P3HT Figure 2.1: The molecular structure of PCBM and P3HT 11 The best P3HT:PCBM devices to date are fabricated in a 1:1 weight ratio as this ratio has been determined empirically to be the best ratio for achieving high efficiencies.17 The two components are dispersed in a solvent, generally a chlorinated solvent such as chlorobenzene, and spin coated onto a substrate. This spin coating creates a thin film with the two components mixed together in a bulk heterojunction. Ideally, the bulk heterojunction is an interpenetrating mixture of the polymer and the nanoparticle, however, little is known of the actual make-up and morphology of the bulk heterojunction and a large portion of this thesis focuses on characterizing the internal structure of a P3HT:PCBM blend. The P3HT:PCBM active layer is sandwiched between two electrodes, a transparent electrode and an evaporated metal. The top electrode is a transparent conducting oxide, generally indium tin oxide (ITO) coated with the hole transporting macromolecular salt poly(3,4-ethylenedioxythiophene):poly(styrenesulfonate) (PEDOT:PSS), although different transparent electrodes and hole conducting layers are occasionally used in the literature. As there is virtually no built in electric field in a polymer solar cell, such as in traditional p-n junction inorganic devices, PEDOT:PSS is used to block electron recombination at the ITO surface. Without a PEDOT:PSS layer, excitons created near the ITO surface are free to dissociate into the ITO as opposed to a PCBM molecule, creating a dramatic loss in current and very poor devices. The back contact of these devices is generally a thin layer of aluminum, about 80- 100 nm, and often a 1 nm layer of lithium fluoride (LiF) or a 20 nm layer of calcium is deposited between the Al and the active layer. There are currently a number of hypotheses in the literature as to why a buffer layer is needed between the polymer and 12 the aluminum electrode; including a better work function match between calcium and the polymer is obtained,18 a small amount of lithium diffusing into the polymer to enhance charge transport,19 or, as our group currently believes, the buffer layer absorbs much of the energy of the evaporated Al as it condenses on the surface of the device, protecting the polymer from degradation. The last conjecture is based on preliminary results and will be tested further in the near future. a / Aluminum Polymer/Nanoparticle Layer PEDOT:PSS ITO GLASS Figure 2.2: (a) The structure of a typical polymer based solar cell comprised of P3HT and PCBM and (b) its ideal band diagram. The lithium fluoride layer is left out of the band diagram because its conduction and valence bands (1.0 and 14 eV, respectively)20 do not match with either PCBM or Al. Much research has shown the addition of a thin layer of LiF between the back contact of a cell and the active layer greatly improves performance but the reason for this enhancement is still unknown. Proper alignment of the molecular orbitals and work functions of the cell components is required for adequate device performance. Figure 2.2a is a cartoon of a typical P3HT:PCBM solar cell and the associated idealized energy diagram, Figure 2.2b. The energy diagram depicts the highest occupied molecular orbitals (HOMO) and lowest 13 unoccupied molecular orbitals (LUMO) of the organic materials and the work firnctions of the inorganic electrodes. From the energy diagram we can see P3HT must be in contact with the PEDOT:PSS layer and PCBM must be in contact with the metal electrode. 2.3 Solar Cell Operating Principles 2.3.1 Equivalent Circuit Diagram A solar cell is diode that will create an electrical current upon illumination. To describe the current flow of a solar cell an equivalent circuit diagram can be drawn, shown in Figure 2.3. An ideal solar cell circuit diagram would consist only of the illuminated current, IL, and the diode current, 11), but fabricated solar cells are not ideal and contain both a series and shunt resistance, Rs and Rs“, respectively. The Rs in any solar cell is the resistance of flow through the device and should be minimized. A high Rs causes a solar cell to have a lower overall current output. The RSH is the resistance to flow backwards through the diode, otherwise known as leakage current, and should be kept as high as possible. A low RSH can result in lower total voltage or current for a solar cell. Figure 2.3: Equivalent circuit diagram of an illuminated solar cell. 14 A solar cell shown in the above circuit diagram can be described by the equation (V+IRE) 1 = 10 (eq nkr — 1) — “3+”‘S—l (2.2) SH where I is the current, 10 is the dark, or saturation current, q is the charge of an electron, k is Boltzmann’s constant, n is the ideality factor and Rs and RSH are the series and shunt resistances, respectively. The ideality factor, n, is a term inserted into the diode equation to account for the non-ideality of a device. It can be used as a probe into the types of recombination in a solar cell, which will be discussed later. 2.3.2 Testing Solar Cells Ideally, solar cells are tested in direct sunlight. However, as sunlight intensity varies based on a number of factors most testing is performed in a controlled environment using a solar simulator. Most solar simulators today consist of a xenon arc lamp and a filter to closely match the solar spectrum. Figure 2.4 is the actual solar spectrum for AM 0, AM 1.5 Global and AM 1.5 Direct conditions. 15 2.0 h - I — AM 0 A l“ —— AM 1.5 Global NE 15 ... '. ‘ .............. AM 1.5 Direct _. 2 ll ‘0 E ll I 1.0 I i' - C 2 l l C .— 0.5 'l . y . _. 0.0 l J int—...... 1,000 2,000 3,000 4,000 Wavelength (nm) Figure 2.4: Solar spectrum for AM 0, Am 1.5 Global and AM 1.5 Direct sunlight AM refers to Air Mass and is a standard used in all solar cell testing. AM 0, Figure 2.4 black line, is the sun spectrum directly incident on the Earth’s atmosphere, similar to a black body emitting at 5500 K. Once the sun’s light passes into the atmosphere certain wavelengths are absorbed due mainly to water, carbon dioxide and ozone. Thus, the solar spectrum arriving at Earth’s surface is slightly modified compared to the one at the edge of the atmosphere. AM 1.5 Direct (Figure 2.4 dotted line) is the light incident on a device after it has passed through the atmosphere and AM 1.5 Global (Figure 2.4 grey line) refers to the incident light on a device plus any diffuse light scattered from the surroundings into the cell. AM 1.5 Global is the spectrum usually used in testing. 16 The incident angle of the sun compared to its zenith can slightly affect the spectrum and greatly affect the intensity. If the sun is at its zenith and passes directly through the atmosphere to the ground it is said to have passed through 1 Air Mass unit, known as AM 1. The standard unit for solar testing is AM 1.5. In other words, the sunlight has passed through 1.5 times more atmosphere than it would have if the sun was at its zenith. This is equivalent to an angle of 48.20, as shown in Figure 2.5. Geometrically, this is defined as — (2.3) where AM is the Air Mass unit and 0 is the angle measured from the zenith of the sun. Figure 2.5: Geometric description of how AM 0, AM 1.0 and AM 1.5 spectra impact earth and the atmosphere. The standard illumination intensity in solar testing is 1000 W/mz. A solar cell is connected to a voltage/current sourcemeter, illuminated with 1000 W/m2 of simulated 17 sunlight and a potential is applied to the device ramping from negative to positive bias while the corresponding current is measured. The same procedure is then applied to the device in the dark. The resulting current (1) versus voltage (V) plot defines the main characteristics of the solar cell, shown in Figure 2.6. Often times current density (J) is used, which is the total current produced divided by the area of the cell, allowing for adequate comparison between devices. I (current) l V I Dark Current____..-n-i"' VOC JPV (voltage) Illuminated Current Figure 2.6: Typical I-V curve obtained from testing a solar cell. Upon illumination a solar cell is defined mainly by three major points from the I-V curve, the open circuit voltage (V 0C) the short circuit current (13(3) and the fill factor (FF). 2.3.3 Short Circuit Current The short circuit current, 13C, is the total current from a cell upon illumination when no voltage is applied. Essentially it is the total number of electrons coming out of a device. 18 The maximum Isc obtainable from a device is determined by integrating the spectrum of incident light, generally taken as a blackbody emitter at 5500K, from the high energy edge of the spectrum to the band gap of the material. With the assumption that every incident photon creates one harvestable electron, the maximum theoretical current can be found. Figure 2.7 is a plot of the max JSC versus material band gap. For reference, the maximum current density obtainable from a silicon device (band gap of 1.1 eV) is roughly 44 mA/cmz, whereas the maximum Jsc obtainable for a solar cell based on P3HT (band gap of 1.9 eV) is only about 18 mA/cmz. 70 IIITIITTTITTTFIIIIIIITITITIIIIIIIIIIIII 60 50 40 30 20 10 . 2 Max Current DenSIty (mA/cm ) TIII'TIII'ITIIITTITIIITIIWIIIIIII lllllllllllllllllLllllllllllllllll Band Gap (eV) Figure 2.7: Theoretical maximum current density (Jsc) obtainable versus band gap.21 19 2.3.4 Open Circuit Voltage The open circuit voltage (Voc) is the maximum voltage obtainable from a solar cell, which occurs at a current of zero. The theoretical maximum VOC of a device is the band gap of the absorber material. By setting I = 0 in the illuminated diode equation (Eq: 2.2) and solving for voltage we obtain nkT I Voc = —ln (—" + 1) (2.4) q 10 showing that the Voc of a device is determined by the ratio of illuminated current to the dark current and that the maximum Voc occurs in conjunction with the lowest possible dark current. The dark current for a p-n heterojunction is defined by 2 2 qD n- (10 n- LeNA LhND where q is the charge of an electron, De and Dh are the electron and hole diffusion coefficients, respectively, defined as D = kTp/q with It being the particle charge mobility, NA and ND are the n and p dopant concentrations, 11; is the intrinsic charge carrier concentration, Le and Lh are the charge carrier diffusion lengths and NA and ND are the acceptor and donor concentrations, respectively. 20 It is beyond the scope of this dissertation to discuss how the parameters mi, N A and ND transfer from a doped inorganic device to an undoped polymer film, but a reasonable approximation is that they will be some constant for a given polymer. Thus, 10 can be reasonably represented as 10 = (C —+ Ch —) (2.6) where Ce and Ch represent the polymer based equivalent of the ratio of intrinsic charge carrier concentration to electron and hole dopants. The terms D/L have units of length per time, a velocity, and are directly related to recombination. With either a large diffusion coefficient or, more realistically, a small diffusion length, 10 will become larger, which results directly in a lower Voc as described by equation 2.4. 2.3.5 Fill Factor The fill factor (FF) of a device is a measure of how ideal the solar cell is. For any photovoltaic device the maximum current and voltage obtainable are the Jsc and VOC, respectively. However, the maximum power obtainable from a device occurs at the maximum power point (PM), which is the point where the product of the voltage and current is a maximum (P=IV). The fill factor is then a ratio of the theoretical PM, the product of JSC and VOC, and the actual PM. The FF is defined by 21 V I FF: ”M (M) Voclsc with Vm and Im being the maximum voltage and current power points, respectively. 2.3.6 Efficiency The total efficiency of a device is defined as the ratio of the power out of a cell and the power incident on the cell _ PMAX IN where n is the efficiency of the device, PIN is the light intensity incident on the device, typically 1000 W/mz) and PM Ax is the maximum electrical power produced. PMAX can be expressed as the product of the Voc, 13c and FF. P MAX = VoclscFF (2-9) 2.4 Polymer Solar Cell Devices Figure 2.8 is a plot of 4 different P3HT:PCBM solar cells with the parameters of each shown in Table 2.1. Two devices were tested directly after spin coating with one device having only an Al back electrode while the other had a ~1 nm layer of LiF between the 22 active layer and the Al. The other two devices were tested after annealing for 20 minutes at 140°C, one having only an Al electrode and the other having the LiF interlayer. Clearly the annealed devices are much better with improved 1], 13¢ and FF and the devices with LiF, as discussed above,’°’ '9 perform even better yet. Some of the morphological reasons for the increased performance upon annealing are discussed in the ensuing chapters, but a fair amount of information can be gained about these devices from the J-V data. I -e— As Cast AI only' ' I O "-B-ASCastw/LiF - + AnnealAl only . f -I- Annealw/LiF : - -2~ - - - v v - v 0 0 Current Density (mA/cmz) i. 40 i L I I -o.2 0.0 0.2 0.4 0.6 Voltage(V) Figure 2.8: Current Density versus Voltage plot for solar cells as cast and after annealing for 20 minutes at 140°C. Closed symbols denote annealed devices and open symbols denote as cast devices. The squares indicate a device was fabricated with a 1 nm layer of LiF between the active layer and aluminum and the circles indicate no LiF was used. 23 The ch of these devices increases from about 2 to 9 mA/cm2 and there are many reports in the literature of groups achieving even higher J SC values with similar systems 22-24 due to Slightly modified processing conditions. In Figure 2.7 we showed the maximum Jsc for a device with a band gap of 1.9 eV, that of P3HT, is about 18 mA/cmz. However, based on calculations incorporating the absorbance of the electrodes and the internal quantum efficiency (IQE) of the active layer, the ratio of charge carriers generated over the incident photons incident on a device,25 the maximtun J SC obtainable for a P3HT solar cell is 15.4 mA/cm2 at an IQE of 100%. While reports of high IQE devices exist,2° based on light absorbance of the electrodes and the limited absorbance spectrum of polymers a more reasonable estimate of IQE is around 80%, which corresponds to a maximum J SC of about 11 mA/cmz, a very achievable value as indicated from many previous results.”24 Device (“1173112) Voc (V) FF (%) 11 WI) As Cast, No A] 2.2 0.65 32 0.46 Annealed, no A1 7.9 0.49 44 1.7 As Cast w/LiF 4.2 0.62 45 1.2 Annealed w/LiF 9.2 0.57 54 2.9 Table 2.1: Basic parameters for solar cells as cast and annealed both with and without a 1 nm LiF layer between the Al electrode and the active layer. The Voc of these devices is between 0.49 and .65 V, which is much lower than the theoretical maximum of the band gap of P3HT, 1.9 V. This limit will never be fully obtainable with current polymers because of the low dielectric constant and 24 corresponding high exciton binding energy. Once an exciton is created its binding energy must be overcome to dissociate the electron and hole and this binding energy is lost in the dissociation step. However, we can see from the devices above that a value of 0.65 V is obtainable, as that is the VOC of the as cast device with no LiF, but annealing the devices causes a noticeable drop in Voco Currently the reason for this drop in VOC as device efficiency is improved is unknown, but it could be due to better alignment of the TI:- orbitals in the conjugate backbone of the polymer or related to recombination within the devices. As discussed in great detail in Chapter 4 as device performance is improved an increase in photoluminescence (PL) is observed. While the reason for this PL increase is described in Chapter 4, quantifying its affect on Voc is difficult. Equations 2.4 and 2.5 relate Voc with charge carrier recombination but a full evaluation of recombination on Voc is not the point of this dissertation. Device Rs ((2 cm2) Rs“ (0 cm2) As Cast, no Al 249 523 Annealed, no Al 55 545 As Cast w/LiF 25 556 Annealed W/LiF 16 476 Table 2.2: Series (Rs) and Shunt (RSH) resistances of the four devices shown in Figure 2.8. Annealing and adding a layer of LiF both improve device performance, which is indicated by a decrease in Rs. However, these processing condition changes do not seem to affect RSH- 25 Both R5 and RSH, Table 2.2, can be estimated by taking the slopes of the J-V curve at VOC and ch, respectively. Annealing the devices and adding LiF, both which improve device performance, lower Rs but do not seem to affect RSH. Seemingly, the annealing procedure can change the series resistance, which indicates an improvement of the charge transport properties of the active layer, but do not change the diode behavior of the device, which is indicated through the shunt resistance. These results suggest that improvement of the diode behavior of the device, i.e. lowering leakage current, requires improved materials as opposed to improved device morphologies. The ideality factor, n, of a device can also be determined to aid in describing the behavior of a device. In inorganic devices n can be determined by plotting Voc as a function of Jsc as the light intensity on a device is varied. However, this can only be done in the case of high fill factor devices where there is little voltage dependence on the illuminated current, that is the current produced at lower voltages before the upturn resulting from the diode behavior of a device. Good inorganic devices have illuminated currents nearly equal to JSC up to voltages of ~80% that of Voc. However, there is a substantial voltage dependence on the light generated current within the types of devices used in this dissertation, as can be seen in the curvature at low voltages in Figure 2.8. A value of n can still be obtained, though, by using the dark current of these devices. Figure 2.9 is a J-V plot of the annealed device with LiF in Figure 2.8 shown along with its dark current curve and Figure 2.10 is the derivative of current with respect to voltage (dJ/dV) of both curves. Polymer based devices have a high voltage dependent light generated current, but the plot of dJ/dV versus V shows this more obviously. 26 Clearly the illuminated curve will not be suitable for finding a value of II, but the dark curve is appropriate. Figure 2.11 is a plot of dV/dJ versus .1.1 for the device tested in the dark, which was used to find the value of n. This plot is obvious after differentiating the diode equation, eq. 2.2 and setting Jsc=0 for the dark curve of a device. With a traditional device this plot will give a straight line with slope nkT/q and intercept of R3 for values of J > 0. This device, as all the P3HT:PCBM devices studied in this work, shows a straight line at values of I close to Voc but the data curves downward at high values of J. Current Density (mA/cmz) Voltage Figure 2.9: Illuminated and dark currents of a typical P3HT:PCBM solar cell fabricated with a 1 nm LiF layer between the Al electrode and active layer. 27 6 _ o Light g 0 Dark 5 — .9 — 4 — _ dJ/dV (mA / v cmz) -0.4 -0.2 0.0 0.2 Voltage (V) Figure 2.10: Derivative of current versus voltage (dJ/dV) of both the illuminated and dark currents of a typical P3HT:PCBM solar cell fabricated with a 1 nm LiF layer between the Al electrode and active layer. The dark current shows good diode behavior which is seen with the flat dJ/dV profile at low V but the illuminated device shows substantial voltage dependant current values. 28 05 _0-012 T 3 RS = 6.5 Q cm2_ 0.011 — 0 ° - A 0.010 - — E 0.5 — / a 0.009 — - N\ 04 0.008 _ — E ' _0.007 I ' ' _ o 0.02 0.04 0.06 0.08 0. Z 0 3 _ _ 3 E > _ _. '0 0-2 n = 1.2 _ 2 0.1— RS-8.9§2cm _ 0.0g 1 l l 0 5 10 15 20 -1 2 J (mAl cm ) Figure 2.11: Plot of dV/dJ versus J'1 to determine the ideality factor of an annealed P3HT:PCBM solar cell with LiF as an interlayer. The main body of the plot displays all the data obtained for values of J > 0 and plots the straight line at low values of J. The inset shows a magnified view of the higher current region (i.e. far from Voc). The values of Rs reported were obtained from each best fit line. They differ because RS is determined from the dV/dJ intercept, which will change depending on the part of the dataset chosen for a best fit line. At values close to VOC, n = 1.2 and moving to higher current values, and hence higher voltages, the value of It increases to 1.8. It is difficult to ascertain what the value of n corresponds to in terms of recombination or device properties as most explanations that exist are based on heuristics for inorganic devices. Yet, one possibility is that these devices suffer from some form of double diode behavior. As the voltage is increased above VOC an increase in dV/dJ is seen (the downward curve in dV/dJ vs J'l), indicating 29 more current is able to pass through the device. A double diode could cause such behavior and evidence for this double diode exists in the structure of these devices, which is discussed in detail in Chapter 3. After spin coating these devices, a thick layer of mostly PCBM is found at the substrate. This layer of PCBM could act as a separate diode to the active layer and produce this type of voltage dependence on n. The other three devices shown in Figure 2.8 Show the same downturn of dV/dJ at high voltages but the curves are more pronounced. They are Shown in Appendix C. Regardless of the actual effects that cause this change of n with respect to voltage, it is obvious the physics of these devices is complex and still unknown. A more detailed study of the ideality factor and the conditions that affect it are certainly warranted, although this testing may prove difficult because of the low fill factors and high voltage dependence of the light generated current. 30 CHAPTER 3: NANOPARTICLE CONCENTRATION PROFILE IN POLYMER BASED SOLAR CELLS 3.1 Introduction Polymer-based solar cells have the potential to supplement the ever increasing societal energy demands in a cost effective manner due to their low cost and ease of manufacture. In addition, the device components are readily available consisting of a semiconducting polymer and a nanoparticle, in our case this is a C60 fullerene derivative. Commercialization will not be feasible, however, until device performance reaches an efficiency level approaching that of inorganic cells, ~10%.” Their performance though, demands control of the nanoscale morphology for the roughly 100 nm thick polymer - nan0particle active layer as a result of the polymer’s physical properties. For example, the polymer’s dielectric constant is relatively small creating a strong Coulombic binding energy of the photogenerated exciton dictating a short lifetime and small diffusion length. Poor electrical conductivity of these polymers also contributes to the diffusion length of roughly 5-10 nm.9 Such a length requires the exciton to reach a dissociation point, the polymer - fullerene interface, to break into its components and generate free charge carriers. Otherwise it rapidly recombines and produces useless heat or light. Furthermore, the morphology must be optimized on different length scales. The smaller exciton diffusion length requires the system to have polymer rich regions that are of order 10 nm wide. However, a roughly 100 nm device thickness is required to maximize light absorption based on the material’s absorptivity. This places strict requirements on the internal morphology with an ideal device having polymer strands 10 31 nm wide and 100 nm long sandwiched between fullerene regions in a co-continuous manner allowing both phases direct access to the appropriate electrode. This morphology must be developed in simple processing steps otherwise the rationale promoting this energy source is defunct. However, morphological characterization is challenging and relationships combining processing, morphology and performance have not been developed to guide device manufacture. Previously, improved device performance in these types of solar cells involved much experimentation by empirically changing material properties such as polymer regioregularity and molecular weight,16 as well as fabrication variables such as solvent choice,12 spin coating times13 and annealing.” All of these processing conditions have been shown to relate directly to the crystallinity of the polymer component of the cell,13 where improved polymer crystallinity provides greater hole mobilities through the structure, thereby improving device performance.14 While improved crystallinity and the corresponding hole transport properties are crucial to device performance other factors certainly affect their performance as discussed above. Traditional polymer-based solar cells are Spin coated or printed from solution providing an undefined and kinetically trapped mixture of nanoparticles and polymer. The vast majority of these devices today are created fi'om solutions containing a roughly 1:1 by weight mixture of polymer and nanoparticle making a homogenous dispersion of the two components very unlikely due to solubility differences in the solvent and the likelihood that they are not soluble with each other at such a concentration. 32 Here we use a mixture of poly(3-hexylthiophene) (P3HT) and [6,6]-phenyl-C61- butyric acid methyl ester (PCBM) as a standard system to study polymer-based solar cells. As seen in the energy diagram of an idealized P3HT:PCBM cell, Figure 3.1, good electrical transport out of the cell only occurs if there is PCBM at the metal electrode and P3HT at the transparent indium tin oxide (ITO) electrode. Based on the ideal energy diagram and the short exciton diffusion length, the co-continuous comb like structure mentioned above would be ideal,ll but this structure would be extremely difficult to make requiring lithographic methods that would eliminate the potential cost benefits of solution processable devices. To maintain the fabrication and cost benefits of solution processable devices, a casting or printing method seems inevitable for commercialization but determining the PCBM concentration profile within the devices has proven difficult. 3.2 eV 3.7 eV 4.2 eV 4.8 eV 5.0 CV 51 CV 6.1eV ITO PEDOT P3HT PCBM Al Figure 3.1: Idealized energy diagram of a P3HT:PCBM solar cell, showing ideal alignment of the molecular orbitals and work functions, has the PCBM component of the cell in contact with the aluminum electrode and the P3HT component in contact with the hole conducting layer of PEDOT:PSS. 33 A 1:1 blend of these two components in unlikely to provide a well dispersed mixture at the molecular level. In a previous study we estimated the upper limit of C60 fullerene miscibility in polystyrene was of order 2 vol%.27 This was done by using experimental results and a simple F lory-Huggins theory to determine an interaction energy of ~0.02 eV between the fullerene molecule and the monomer group, a reasonable value. An energy of this order may exist for the system at hand and complete miscibility is not expected at such a large concentration used in solar cells. Furthermore, the interparticle, edge-to-edge distance (H) is of order 0.05 nm at this volume fraction ([1) promoting phase separation. This can be estimated via H/D = [Dm/ 13]” 3 — 1 where D is the particle diameter (~0.7 nm for C6028) and [3m is the maximum, random packing fraction (~0.64).29 Even if a blend is miscible in the bulk, a homogeneous mixture still may not be present in a thin film due to a delicate balance of surface (enthalpic) and entropic forces.3°’3° Our previous study demonstrated spin coating produced a layer rich in fullerenes next to the substrate while none were present elsewhere in the film.37 Processing a film in this way induced segregation since it is known fullerenes are much less soluble in the spin coating solvent than the polymer.” 39 So, they follow the solvent concentration gradient to the substrate making a gel-like layer rich in nanoparticles at that interface.37 Interestingly, as predicted by fluids — density functional theory calculations performed with hard spheres,3°’ 40’ 4' the (3,0 nanoparticles should be uniformly dispersed throughout the film which was obtained after following a complicated processing procedure.42 Of course these films only contained ~ 2 vol% nanoparticles which is much less than that used here. Regardless, even at 2 vol% the value of H is 1.5 nm and despite 34 a percolated network not being present may still be useful for solar cells because of their relative closeness. Despite PCBM particles being more soluble in spin coating solvents,43 and possibly the polymer itself, one cannot expect them to be well dispersed in the polymer film at the extreme concentration used in polymer-based photovoltaic devices. Because of this a balance of forces that creates a non-equilibrium structure is expected, necessitating careful characterization to understand device performance. A number of groups have used a variety of techniques in structural 50 characterization“ including: scanning electron microscopy (SEM),51 transmission 5° ellipsometry52 and X-ray reflectivity,47 with electron microscopy (TEM),49' contradictory or conflicting results. SEM, TEM and X-rays all scatter from electrons and, due to the high amount of carbon, all produce quite low contrast between the two components. X-ray reflectivity has been shown to be an unsuitable method to characterize the morphology within a polymer-based solar cell since no component contrast exists.47 The previous SEM study used a different system, MDMO-PPV and PCBM, and inVolves breaking the film, which induces undesirable defects. In addition, TEM images of randomly oriented, nanoscale, low contrast materials has been shown to be ineffective.“ 53’ 5“ Defocused TEM can be used to measure the microstructure of materials with regular variation of morphology if the components segregate into large enough regions, say ~10 nm and greater.“ 4° However, to do this with less ordered materials is a challenge. TEM tomography may be used to characterize the system at hand, P3HT and PCBM, since P3HT crystallites introduce contrast within the system,48 but there is 35 minimal, if any contrast between amorphous P3HT and PCBM. It is possible to use ellipsometry, yet, this is a difficult technique to apply to our system, although some interesting results were found revealing an excess of PCBM at the substrate.52 X—ray photoelectron spectroscopy55 (XPS) and near edge X—ray absorption fine structure spectroscopy (NEXAFS)5° results, which use electron orbitals and band structure to determine elemental compositions, show high concentrations of PCBM at an Si02 substrate directly after Spin coating. These methods are an excellent way to measure amounts of material near interfaces where charge is removed from a device and their results are consistent with the results discussed here despite the differences in sample preparation methods. However, these methods do not provide concentration versus depth information and more information could be gained on internal device structure. Following a recent defocused TEM study, which suggests a uniform dispersion of PCBM,50 we Show an example of defocused TEM micrographs for a 1:1 blend of P3HT and PCBM and a pure polystyrene film, both sectioned by rnicrotomy, in Figures 2a and 44’ 54 and calls to 2b. This pictorially reveals the challenge in analyzing such images question the above results. Another technique, which uses TEM and scatters from the P3HT crystallites, shows there are more P3HT crystallites at the substrate,48 while ellipsometry reveals there is more PCBM at the substrate.52 Clearly there is need to carefully characterize P3HT-based solar cells since their performance is dictated by their morphology. 36 Figure 3.2: Defocused transmission electron microscopy cross sectional images of polymer samples prepared by ultramicrotomy Shows little difference for a variety of materials. A 1:1 by weight PCBM:P3HT blend (a) and pure polystyrene (b) both have lighter and darker regions demonstrating the difficulty in interpreting such images. 3.2 Neutron Refelctometry 3.2.1 Specular Neutron Reflectometry We recognize that C60 fullerenes have a large neutron scattering length density (SLD) difference to polystyrene,” 42 and by using simple techniques it is possible to estimate that P3HT should have significant contrast from PCBM. Thus, neutron reflectivity is well suited to characterize the active layer, especially given that it has excellent resolution down to the nanometer scale. Neutron reflectivity makes use of the nuclear cross section of the film components to determine a depth dependant scattering length density (SLD) and hence the film composition profile. In addition, a large sample volume is probed to yield a true analytical average. Calculation of the individual component SLDs is accomplished by summing the individual nuclear cross section of all the atoms in one molecule and dividing by the molar volume, which is proportional to density, 37 SLD = Zffi (3.1) where bc is the bound coherent scattering length of the ith of n atoms in a molecule and the molecular volume, Vm, equals the molecular weight divided by the density. Neutron reflectometry can be a difficult experiment because while one SLD profile can only produce one set of reflectivity data the inverse is generally not true.57 Because only the amplitude of the scattered neutrons is measured in a reflectivity experiment, the phase information in the scattered neutrons is lost. This loss in phase information results in one set of reflectivity data being able to produce multiple SLD solution profiles during fitting. Additionally, when fitting with the Parratt formalism58 a least squares minimization is used to determine an overall profile, which can provide multiple ‘correct’ solutions to the data of films more complex than those consisting of only pure components. While retaining the phase information in one experiment is not possible, the phase information can be retrieved by varying the surrounding media during multiple reflectivity experiments. 3.2.2 Phase Sensitive Neutron Reflectometry Phase-sensitive neutron reflectometry (PSNR) methods make it possible, through the use of variable reference films or substrates, to uniquely determine the complex reflection amplitude of an adjacent, ‘unknown,’ layered structure. This, in turn, can be directly inverted to yield its corresponding, unambiguous scattering length density (SLD) 38 profile. An accessible review of neutron reflectometry (NR) techniques in general, and PSNR in particular, is given by Berk et al.59 There are two categories of reference layers applicable in PSNR, layers of finite thickness with variable SLD°°’ °l or surrounding media°2 of adjustable SLD. Either the fronting or backing medium may serve as the supporting substrate for a thin film system of interest and the reference layer may also be either the fronting or backing medium. The ultimate sensitivity is achieved by performing phase-sensitive NR measurements for each of a number of different labelings of a component part. The work discussed here used a surrounding backing media with adjustable SLD, which will be discussed further in the Experimental Section. 3.3 Experimental Methods 3.3.1 Neutron Reflectometry Samples To make the PSNR samples, both P3HT and PCBM were weighed in a 1:1 by weight ratio in air. The polymer - nanoparticle mixture was then transferred to a nitrogen glove box and chlorobenzene was added such that a total solution concentration of 30 mg/ml was obtained (15 mg P3HT and 15 mg PCBM per 1 ml of solvent). The solution was stirred for 3 days inside the glove box and then filtered through a 200 nm PTFE filter. Two samples for the PSNR tests were spin coated onto 75.2 mm diameter, 5 mm thick polished silicon slabs; one at 2500 RPMs for 60 seconds, denoted ‘Fast Grown’ and one at 800 RPMs for 180 seconds, denoted ‘Slow Grown.’ The solution was first heated to 50°C before spin coating for the Slow Grown sample to achieve a flat active layer. Visual inspection of both of these un-annealed samples showed minor defects, with the total defect area amounting to a relatively small fraction of the total area illuminated by 39 the incident neutron beam. Thus, based on this optical criterion, these two samples were deemed to be of potentially sufficient in-plane homogeneity to warrant further study by PSNR. Unfortunately, large agglomerates of PCBM form during thermal annealing of P3HT:PCBM films on silicon substrates63 so annealed samples could not be studied on the same wafers. Instead, silicon wafers were coated with a thin layer of the macromolecular salt poly(3,4-ethylenedioxythiophene):poly(styrenesulfonate) (PEDOT:PSS) upon which the active layer was Spin coated. PEDOT:PSS is a common hole conducting material used in organic solar cells to prevent surface recombination and increase device performance. Coating the Si wafers with PEDOT:PSS prevents the PCBM from massively phase separating upon annealing and allows for a good comparison to an actual polymer based solar cell. One of the drawbacks of using PEDOT:PSS, however, is that it is water soluble and makes PSNR experiments very difficult. The PSNR experiments described below use deuterium oxide (D20) as the backing medium due to its high SLD and water-like properties. PEDOT:PSS, unfortunately, dissolves readily in D20 so using D20 as a backing medium ruins any sample. The pure P3HT and PCBM samples were created following the same weighing procedure using only pure components. Pure P3HT samples were spin coated at 2500 RPMs and the pure PCBM was spin coated at 2000 RPM, both at a concentration of 20 mg/ml in chlorobenzene. In this case though the silicon wafers were 50.8 mm in diameter and 1 mm thick. The larger silicon slabs were not needed for these tests as the 40 pure components did not require PSNR calculations nor the sample holder described below due to the low complexity of the films. All samples were transported from the University of Delaware to NIST in a nitrogen filled vacuum dessicator to ensure no oxygen degradation. However, subsequent reflectivity measurements showed no change in SLD or film profile after many days exposure of the films to oxygen. 3.3.2 Phase Sensitive Neutron Reflectometry Measurements PSNR measurements were performed on the NGl polarized neutron reflectometer at NIST with an incident wavelength of 4.75A and 1.5% or less spread. A wet cell holder, Figure. 3, allowed for easy changing of the backing media. Wafers were inserted into the wet cell, aligned on the reflectometer and data was taken with air as the backing media. After the air backing data was gathered, degassed D20 was slowly injected into the wet cell as the new backing media and a new data set was taken. No realigning was performed upon addition of the D20 but rocking curves were periodically taken during the course of both the air and D20 backing experiments to ensure no misalignment occurred. 41 Figure 3.3: A cross sectional image of the wet cell holder used for Phase Sensitive Neutron Reflectivity measurements. The path of the neutron beam enters through a silicon ‘fronting’, encounters the film being studied and exits through to the ‘backing’ reservoir, which was either air or D20 for this experiment. For all of the measurements the slit apertures were opened with increasing Q, once sufficiently above the critical angle region, so as to maintain an approximately constant ‘footprint’ of illumination on the sample surface. This footprint measured about 25 mm in height and 40 mm in length along the horizontal. Because of the large silicon substrates, 75.2 mm diameter, no footprint correction was needed for data reduction of the PSNR samples. A slight footprint adjustment was needed for the low Q values on the pure component samples because those measurements were taken on 50.8 mm diameter substrates. The reflectivity was obtained by subtracting background from the measured reflected intensity and subsequently dividing by the incident intensity appr0priate for the 42 set of aperture widths at a given value of Q. Given the beam time available to us, it was possible to collect reflectivity data for the Fast Grown sample with both air and water references out to a Q of nearly 0.2 A]. For the Slow Grown sample, it was possible to collect reflectivity data out to 0.2 A'1 for the D20 backing but only to about 0.1 A-1 for the air backing. 3.3.3 Density Measurements Density measurements were performed by mixing 20 wt% PCBM with polystyrene and precipitating the blend from solution in a non-solvent. After filtering and drying in a vacuum oven for 5 days, the mixture was pressed into a pellet at 170°C for 2 hr under vacuum and then measured using a pycnometer. 3.3.4 Solar Cell Fabrication and Testing Solar cells were prepared using the same 1:1 by weight blend of P3HT and PCBM (30 mg ml") in chlorobenzene (1 ml) as in the reflectivity samples except ITO coated glass slides with a sheet resistance of 8-12 Q/cm'2 (Delta Technologies) were used instead silicon wafers. For more accurate testing and creation of multiple devices on one substrate, the ITO was patterned using an HCl etch before device fabrication. The etched substrates were cleaned by ultrasonication in acetone and then isopropyl alcohol for 15 minutes each. Then A PEDOT:PSS (H.C. Starck, Clevios 4083) solution in a 4:1 volumetric ratio of PEDOT:PSS stock solution to water was spin coated onto each 43 substrate at 3000 RPMS for 30 seconds and then the substrates were dried in an oven at 130°C for 30 minutes. The coated substrates were then transferred into a nitrogen glove box where the active layer was spin coated at 2500 RPMS for 60 s. The coated substrates were transferred to a thermal evaporator and an aluminum back electrode was thermally deposited under a vacuum of 5x10.7 torr at a rate of 0.2 nm sec]. The devices were tested using a 150 W Oriel class A solar simulator under AM 1.5 conditions at 1 sun illumination as determined by a calibrated reference solar cell traceable to the National Renewable Energy Laboratory. Glass slides (25.4 x 25.4 mm) were first coated with a roughly 25 nm layer of PEDOT:PSS, which were baked at 130°C in air for 30 minutes and then transferred to a nitrogen glove box. The ‘P3HT:PCBM solution was spin coated onto the PEDOT:PSS coated substrates and the annealed samples were heated at 140°C for 20 minutes. 3.4 Results and Discussions 3.4.1 Pure Component Films Figure 4a is reflectivity data plotted as reflectance (R) times wave vector (Q) to the fourth power versus wave vector and associated best fits to the data for a pure P3HT film spin . 4 . coated at 2500. The convention RQ 18 used because reflectance decreases at a rate of Q'4 for systems with sharp interfaces at high Q. Shown in the figure are two fits to the data, one fit for a constant density of P3HT through the entire film (gray line) and the other for variable density throughout the film with a slightly higher density at the substrate that decays slightly as it approaches the air interface (black line). Although the fits are not substantially different, the varied density model fits the data noticeably better. The density profile of each fit, shown in Figure 4b, is realistic for both fits as reported densities of P3HT range from 1.1 to 1.3 g/cc,64 but the roughness in the varied model is more realistic. In the variable density profile the P3HT density starts at roughly 1.17 g/cc and drops to slightly below 1.0 g/cc at the air interface. The average density from this profile is 1.15 g/cc, which corresponds to an SLD of 0.74>< 10.6 A'2 for as cast P3HT. 1 l l i 1-0 I ' I ' I ' I O AsCastP3HT Data 1 _ 14 — Constant Density Fit . ' — Increased Substrate : 0-8 " r- 1.2 Density Fit 1 “-‘ - 1.0 < 0.6 r- 1 ‘90 - 0.8 1 ‘- . . , ‘ 0.4— . . - 0.6 a. “tam, q —ConstantDensrty Flt "3 " “I'll "l" — Increased Substrate — o_4 "' __ Dens' Fit . I I 0.2 W _ 0.2 I r I I I . I r I r L 0.0 0.02 0.04 0.06 0.08 0 200 400 600 Q (K1) <<- TOP Distance through film (A) BOTTOM—>> Figure 3.4: (a) Reflectance (R) times wave vector (q) to the fourth power versus wave vector for a pure P3HT film spin coated at 2500 RPMS with associated best fits and (b) the SLD and corresponding density profile of the best fit lines. A varying density profile (black line) fits the data much better than the constant density profile (gray line), indicating the density of the P3 HT film varies slightly as a function of depth. Annealing the P3HT films, as shown in Figure 5b, noticeable changes the density profile such that it is larger near the substrate. As shown in Figure 5b, the pure P3HT fihn is much more dense at the substrate, roughly 1.4 g/cc, but quickly drops to about 1.15 g/cc. This higher density at the substrate corresponds to previous work performed 45 by van Bavel et al. where they show a noticeable increase in P3HT crystallinity at an Si substrate.65 Based on the both the as cast and annealed fihns we use a P3HT density of 1.15 g/cc and the corresponding SLD of 0.74>< 10'6 A'2 for the remainder of this work. I 1 a 1 3 1-0 a I I I _ 1.6 . o Annealed P3HT Data 0 8 _ 21.4 — Constant Density Fit ' / __ 1 2 “ — Increased Substrate N ' A _ a: Density Fit ' _ ‘7 9 °< 0.6 — 1.0 “S, 1° “ ‘9 Va I g ‘0- "' 0.8 m I ‘: . h 1... q 04 '— — 0.6 i s. i y: p. '5'}; If; — Constant Density Profile ' .r , "3.1 i; I“: ‘ . 02 l‘ — Increased Substrate '0-4 10'1° ‘, i ' ll '1 1" Density Profile _ 0.2 i 1 l l -3 00 l l l 00 20 4O 60 80x10 0 200 400 600 Q (A") <<-- TOP Distance Through Film (A) BOTTOM->> Figure 3.5: (a) Reflectance (R) times wave vector (q) to the fourth power versus wave vector for a pure P3HT film spin coated at 2500 RPMS and annealed at 140°C for 20 minutes with associated best fits and (b) the SLD and corresponding density profile of the best fit lines. A varying density profile (black line) fits the data much better than the constant density profile (gray line), indicating the density of the P3HT film varies slightly as a function of depth. A noticeable increase in density is seen at the substrate. Reflectance data from films spin coated at 800 RPMS showed similar results to the 2500 RPM films although, due to the thickness of the films, the data is much noisier. The 800 RPM films were approximately 130 nm thick whereas the 2500 RPM films were only 60-70 nm thick. As the thickness of a film increases its reflectance fiinges are moved closer together and total reflectance intensity drops, decreasing the signal to noise ratio making thicker films more difficult to fit. 46 Reflectance versus wave vector data and best fit lines for a film of pure PCBM is shown in Figure 6, which corresponds to a PCBM SLD of 3.6><10.6 A.2 and density of 1.25 g/cc. This is a noticeably lower value than that reported in the literature for an FCC C60 crystal (1.68 g/cc)°° and slightly lower than a previously reported value for bulk PCBM (~1.5 g/cc),67 however, this value is in reference to a private communication. The dashed line in Figure 6 shows the calculated reflectance for a PCBM film with a density ofl.5 g/cc. A I 0 Data 10'8 r I \ — Density of 1.25 g/ml -_ 7. .x \ - - DenSIty of 1.5 g/ml . ' \ A _ 5’ I \ / ~ 4L ' I 1 \. A " . I :'\ l . ..... _.I 1: 3 .. ' ‘ . " . ' f“ l. ‘. I I, ’ c 2' ‘ i II h“ .. m 1!. ‘ ‘ I 7. 10'9 ..... | ......... in; 1 7 i . "g“ j 6 5.: a 5 I " I I I ‘ 0.02 0.04 0.06 0.08 0(A”) Figure 3.6: Reflectance (R) times wave vector (Q) to the fourth power versus wave vector for pure PCBM. The solid dark line is the best fit line to the data, corresponding to a density of 1.25 g/cc and the grey dashed line is the calculated reflectance for a PCBM film with a density of 1.5 g/cc. 47 To further investigate this discontinuity between the reported PCBM density and our results we used Archimedes principle, described above in the Experimental Section, which compares the dry weight of an object to its weight in water and found a PCBM density of 1.33 g/cc. For all neutron scattering work in this dissertation we use a PCBM density of 1.3 g/cc, a P3HT density of 1.15 g/cc and the associated SLD’s to model the reflectivity profiles and the SANS data in later chapters. Slight variation of the PCBM density within the above limits does not change our conclusions. 3.4.2 Solar Cell Mimics Reflectivity multiplied by wave vector to the fourth power (RQ’) is plotted as a function of Q in Fig. Sa for the film spin coated at 2500 RPM with both air and D20 backings. We use this parameter pairing, RQ’, since reflectivity decays as Q'4 for systems with sharp interfaces as well as for ease of data viewing. These fits Show an excellent representation of the data out to a Q of almost 0.19 A". Corresponding SLD plots of the simultaneous fit, the exact solution from PSNR and the Parratt58 method applied to the air backed sample are shown in Fig. 5b. The agreement is remarkable, both quantitatively and qualitatively. A small SLD peak is seen at the substrate of the simultaneous fit solution, which is a native silicon dioxide layer imposed as a constraint during the simultaneous fitting (Fig. Sc). One knows the layer is present but is too small to be seen in the PSNR due to the limits of Q space investigated. The divergence at the air interface of the simultaneous fit is due to the difference in backing media, D20 versus air (Fig. 5d). 48 A difference between the PSNR and dual fitting profiles can be seen, most notably at the substrate interface. In principle, this PSNR solution is unique for the reflectivity data collected over the entire range of Q and in the absence of statistical uncertainty in the data. In practice, statistical uncertainty in and truncation of the reflectivity data sets at some maximum, finite value of Q, introducing a corresponding degree of uncertainty in the SLD profile.68 The SLD density profiles obtained by direct inversion and simultaneous fitting of the same two composite reflectivity data sets must, therefore, be equivalent within the extent allowed by truncation and statistical uncertainty. The differences in the SLD profiles observed in Figure 7b are, in fact, a measure of the confidence in the profile. The reason the simultaneously fit for the SLD appears more accurate in some details, such as in the resolution of an oxide layer at the silicon / polymer interface, is that in the modeling it is possible to incorporate additional information known about the film profile from other sources. The direct inversion process, on the other hand, does not allow for this possibility. In other words, the direct PSNR method tells us all that is possible to know from the truncated and statistically uncertain reflectivity data alone but the dual fitting allows us to incorporate known parameters within the film. We were unable to obtain a high enough Q space for the air backing case to perform the PSNR calculations on the 800 RPM sample, but Simultaneous fitting of both data sets shows a very similar PCBM profile between the 2500 RPM and 800 RPM case, Figure 8. An increase in PCBM concentration at the substrate and near the air interface was found. 49 3 I I I I I I r I I .82 a o 020 10 __ j m u a Air 4 . . . 1 L. i . I - ... 7‘; ' I“ «I YA 2 — . % I m , 0° Q 0- n." 1.0-Ti“ E c.‘ $10-9 . I I . ~- 1 v . _ . 5‘ ; C3 11. =5 .. , | I as 3:: : 0: 4 -. r a, Ill" , , l- r , , p . .l- 2 I . r: n ninth l. w III ~ I : -10 ' '.' - ti '1 fr" ' I i'lllr u ' 10 ’ '~.i ‘1! I" II ‘.I' 4 l l I l . . .. l ..................... l . . 0.02 0.04 0.06 0.08 0.10 0.12 0 14 0.16 0.18 0(A") 3.5 3.5 r g 2.5e 2.5 ....A % 2.0+ : .3“ 2-0 1.5 2 I 53 -4 0 4 8 12 5 1,5 14 Distance (nm) (7|) +PSNR q," - I ' I 1.0 ._ +Sim.Fit-Air ~< 1-2 : - -I- Sim. Fit-D20 “Po 1.0 : 0 5 _ + Parratt Fit-Air C 03 i ' o .1 0.6 . _ 00 I I I l I ‘0 0.4 r : r : ' 0 20 40 60 80 840 860 880 900 Substrate Distance (nm) Air Distance (nm) Figure 3.7: Neutron reflectivity uses the natural contrast between P3HT and PCBM to determine the scattering length density (SLD) and eventually the concentration profile. (a) Reflectivity multiplied by wave vector to the fourth power (RQ’) versus wave vector for the sample spin coated at 2500 RPM using either an air (triangles) or D20 (circles) backing and associated best fits found though simultaneous fitting of both datasets. The deuterium allows characterization to larger wave vector and more accurate determination of the SLD profile. (b) The best fits of the reflectivity data for the SLD profile were found via the PSNR calculations as well as simultaneous fitting of both data sets (Sim. Fit-Air & Sim. Fit D20) and the Parratt formalism for the air backed sample (Parratt F it- Air). An expansion of the distance axis shows (c) the SLD near the substrate (vertical dotted line) where the SLD bump due to silicon dioxide in the simultaneous fit is clearly visible and (d) the SLD near the air interface (vertical dotted lines) which is quite similar to the SLD of pure P3HT (horizontal dotted line) within the first 2 nm. The sample was unannealed and characterized directly after spin coating. 50 Normalizing the thicknesses of each film, by multiplying Q with thickness, though, shows astonishing agreement between the two spin coating conditions as seen in Figure 3.9a. Here we have plotted the volumetric percentage of PCBM for just the active layer of each case, 2500 RPM and 800 RPM, showing agreement between the coating conditions as well as fitting procedure. A cartoon of possible morphologies is shown in Figure 3% based on this concentration profile. 6x10‘ L ' ' ' ' ' L .8 ' NA — Air Backing Profile b j 10 F :55 5 g - - - DZO Backing Profile I_ E g i h I YA -9 g 4 - r -< 10 0 ' vv 5 3 :_ U) 8 , g . _I 2 ' 10"° I .3 .' CT} I I A Air Backing I g 1 ’ o 020; Backing;5 I 0 I L l 2 8 9o 01 0 400 800 1200 CJ:(A ) Distance through film (A) Figure 3.8: (a) Composite reflectivity data sets obtained for the Slow Grown film and fits which were determined simultaneously and (b) the Slow Grown film SLD profile obtained by simultaneous fitting of the corresponding data. As the SLD profiles were simultaneously fitted the profiles overlap until the backing layer was reached and they differ with the air backing film going to SLD = 0x10'°A'2 and the D20 backing film going to an SLD = 6.2x10’° A". Before discussing specifics of the profiles, a comment must be made concerning the concentration profile. The pure component SLD’s discussed above were used to convert the SLD profile to concentration by a volumetric rule of mixtures. Although the 51 mass balance was not enforced in the simultaneous fitting routine, and certainly not in the PSNR calculations, by integrating the concentration curve through the film we found the average concentration of PCBM was precisely conserved with the PSNR calculations and within ~ 5 vol% of the expected value, 48 vol%, for the other cases. This is a significant confirmation of the fitting procedure. A higher SLD indicates a larger amount of PCBM, so the SLD peaks found in each film are directly related to PCBM agglomerating near each interface. Concentration is directly related to the SLD and can be found using a simple equation _ SLDMeasured-SLDPBHT — (3.2) PCBM SLDPCBM-SLDpsHT where D is the volume fraction of PCBM and SLDpCBM and SLDp3m~ are the SLD’s of the two pure components determined in separate experiments (see Fig. 2). The maximum concentration of PCBM at the substrate and near the air interface is 74% and 65% by volume, respectively. A slight difference can be seen between the PSNR direct inversion technique and the simultaneous fitting, particularly near the substrate, however, this does not significantly diminish conclusions we can gather from this data. For example, the energy diagram, shown in Figure 3.1, indicates that PCBM should be at the air interface (the metal electrode) and not at the substrate (the conducting oxide). Clearly, both characterization techniques demonstrate that a high concentration of PCBM is at an undesirable location. 52 j r F l Unannealed + 800 RPM -l- 2500 RPM I: "a; O n 0.94 0.96 0.98 1.00 l i | Volume Percent PCBM l 0.0 0.2 0.4 0.6 0.8 1.0 Normalized Distance I PCBM :73 P3HT ..—J Figure 3.9: The concentration determined from neutron reflectivity shows a large amount of PCBM near both interfaces. (a) Spin coating at either 800 or 2500 RPM yields very similar concentration profiles, determined from the SLD profile, with slight differences near the interfaces (see inset). The film thicknesses were 140 nm (800 RPM) and 90 nm (2500 RPM) and used to normalize the distance through the film. (b) A cartoon of a possible PCBM/P3HT morphology demonstrating higher PCBM concentration near the interfaces with a large P3HT concentration within 3 nm of the air interface (see Fig. 3.1). 53 The PCBM nanoparticles clearly concentrate at the substrate and near the air interface as shown in Figure 9. This inhomogeneous dispersion appears to be independent of spin coating speed, i.e.: fast versus slow growth conditions, and we believe results from the balance of a number of different forces. We hypothesize the PCBM particles migrate to the solvent rich area near the solid substrate during spin coating, because of their limited solubility, where they eventually become trapped.37’ 42 However, it is believed the spin coating speed is high enough in both cases to induce a rapid solvent evaporation rate to convect the PCBM nanoparticles towards the air interface. While convective flow forces the PCBM towards the air, the nanoparticle/polymer system will tend to assemble according to its optimum dielectric ordering.32 Since the refractive index of P3HT is approximately 1.969 and that of C60 is about 2.0,70 which we assume is close to that of PCBM, this will induce a preference for P3HT at the air interface. Of course, polymer crystallites formed in the process will affect the PCBM concentration profile as will nanoparticle/polymer entropic effects we discussed above, although this is conjecture at this point. Suffice to say the process and its influence on the resulting morphology is complicated and yields an interesting concentration profile. I." in Table 1 demonstrating Our results are compared to those of Xu et a agreement between both studies. Using results from simultaneous fitting of the reflectivity profiles with an air or deuterium backing (Sim. Fit) we find approximately 75 vol% PCBM at the substrate interface while there is much less, ~ 0 — 5 vol%, at the air interface. These concentrations are essentially independent of spin coating speed, although one could argue there is more PCBM at the air interface for the lower spin 54 coating speed. To remove some of the arbitrariness in defining the interface, we averaged over a length scale of 10 nm, which allows comparison to the X-ray photoelectron spectroscopy (XPS) results of Xu et al., since this technique typically probes this distance in the sample. Here clear agreement is seen between all samples and characterization techniques. On average there is 34 d: 4 vol% near the air interface (~ 10 nm) while there is 59 :t 8 vol% near the substrate interface. Interface 800 RPM 2500 RPM 2500 RPM Slow Fast Sim. Fit Sim. Fit PSNR Xu et a1 Xu et al. Air 8% 0.2% 0.2% - - Substrate 75% 77% 65% - - Air (10 nm) 28% 37% 37% 34% 34% Substrate (10 nm) 70% 65% 53% 56% 53% Table 3.1: PCBM volume percentages at the air interface, substrate interface and averaged over a 10 nm depth at both interfaces for comparison to the XPS data of Xu et al." The two spin coating speeds, 800 and 2500 RPM, were used for comparison to the Slow and F ast evaporation conditions used by Xu et al. The concentrations for the sample prepared at 2500 RPM was determined by simultaneous fitting of the two profiles (Sim. Fit) as well as with PSNR while the 800 RPM concentrations were determined solely by simultaneous fitting. The data are from Figure. 3.5. Additionally, we note Germack et al.56 performed NEXAF S, which has a penetration depth slightly less than XPS, on the Si02 substrate interface of a similarly fabricated bulk heterojunction device. Their results show an interfacial concentration of 82 vol% PCBM at the substrate in strong agreement with our results. The rather large PCBM concentration at the solid substrate is clearly undesirable, since, typically, holes are conducted through it. Ideally an inverted concentration profile should be present, described in Figure 1, with a larger PCBM concentration at the air 55 interface since it is an electron transporter. In addition, the layer of almost pure P3HT at the air interface is likewise detrimental to cell performance. We mimicked a solar cell on a silicon wafer substrate by spin coating a 30 nm thick layer of PEDOT:PSS onto it and then, subsequently, a 90 nm thick layer of PCBM:P3HT at 2500 PRM. It is clear that surface energy can affect the interfacial concentration,56 so, the lower energy PEDOT:PSS was used to ensure prOper comparison to an active solar cell. As shown in Figure 10a, a similar concentration profile was found to our prior results for films that were not annealed. We note in this case the profile was determined with the Parratt technique with an air interface, as discussed above the fit results followed the mass balance. The film was annealed at 140°C for 20 min. where it was found the concentration profile changes. Interestingly, the amount of PCBM increased at the air interface which is clearly desirable for a more efficient solar cell. However, very little change in the concentration occurs at the substrate which will not promote more efficient function. The concentration peaks broaden slightly, however, gross change in the concentration is not possible since the melting temperature is much higher, ~220°C. Rather it is more likely crystal refinement occurs to exclude PCBM which is forced to the air interface. This is not energetically favorable as it does not follow optimal dielectric ordering and is certainly a metastable state induced by the processing procedure. A working solar cell was fabricated on an ITO covered glass and tested. As seen by others, the cell performance substantially increases after annealing (Figure 3.7b) and could certainly be affected by an increase in crystallite size and number after annealing. 56 However, our study introduces another possible factor through an increase in PCBM concentration at the air layer (back electrode). 100 b 2 80 NA 0 m E U o O. 2 _2 ... E 60 g 0'" a: E 2 4 — a, 40 3 g “E E, 20 _ 2500 RPM §-6 _ 2500 RPM - + Unannealed o -o- Unannealed -l- Annealed -I- Annealed 0 1 l l 1 -8 l . I . I 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 Substrate Normalized Distance Air Voltage (V) Figure 3.10: The PCBM concentration profile changes upon annealing by broadening the peaks near the interfaces which certainly influences solar cell performance. (a) The PCBM concentration versus normalized distance graph for a PCBM/P3HT blend spin coated onto a PEDOT:PSS layer shows peak concentrations near the interfaces for the unannealed (84 nm thick) and annealed (75 nm thick) cases. The PCBM concentration peaks widen at the interfaces and the PCBM concentration increases near the air interface after annealing. The Parratt formalism was used in all cases to invert the reflectivity profiles and “Substrate” indicates the top of the PEDOT/PSS layer. (b) The current density — voltage curve changes between the unannealed and annealed conditions for a solar cell and is certainly, in part, due to the change in the concentration profile. The film thicknesses were 90 nm for both cases and the efficiency, fill factor and open circuit voltage were 1.7%, 0.44 and 0.5 V, respectively, for the annealed cell. Indeed, based solely on the concentration profile, it would appear that since the concentration does not substantially change at the substrate, the solar cell performance is dictated through an increase in the PCBM concentration at the back electrode. Of course, other factors most likely come into play although we suggest a change of the 57 concentration, particularly near the back electrode, is a certain factor to increase performance. 3.5 Conclusions We have fabricated polymer-based solar cells in this study and used the large neutron scattering length density difference between PCBM and P3HT to characterize the devices’ morphology. The key phenomenon that must be addressed in a photovoltaic device of this sort is, does the processing introduce a nanostructured morphology to enhance exciton dissociation? Indeed the physics of the device indicates the need for PCBM to be present at the metal interface and P3HT to be in contact with the PEDOT:PSS layer on the conductive oxide. Our reflectometry study yields the concentration profile of the acceptor and donor components, which was measured precisely and without question as to its accuracy. Since the equilibrium concentration profile in this device should be two layers of completely phase separated components, any profile that is developed will be non- equilibrium. This places an extraordinary burden on manufacture to find the optimum processing parameters that optimize device performance. To date, empirical heuristics were developed to fabricate devices (usually) relying solely on a single metric, that of the photovoltaic efficiency, to guide subsequent studies. Here we have determined the concentration profile is complicated and varies through the film thickness. One processing parameter which positively affects device performance is annealing which we find changes the profile, however, not significantly. Yet, the interfacial concentration near the back electrode is advantageously changed 58 promoting our conclusion that subtle variations in the morphology are key to a more satisfactory device. In the future we will use other neutron scattering geometries to determine the size scale of structures which will certainly aid development of this technology. 59 CHAPTER 4: PCBM AGGLOMERATION IN POLYMER BASED SOLAR CELLS 4.1 Introduction With the promise of low manufacturing costs, high production throughput and flexible devices, polymer based solar cells are currently being rapidly developed and evaluated. A device of roughly 1:1 by mass blend of poly(3-hexylthiophene) (P3HT) and phenyl- C61-butyric acid methyl ester (PCBM) has many literature reports of efficiencies within the 4-5% range.” 26 However, the potential low cost and ubiquitous applications of a polymer based photovoltaic device capable of only 5% incident light to electricity conversion in a laboratory setting is unlikely to become a commercially viable product. Increasing the efficiency of these devices is difficult because their performance is governed by the nanoscale morphology of the thin (~ 100-200 nm) active layer, because a Coulombically bound exciton, or electron-hole pair, is formed upon light absorption. The interaction energy for two particles varies inversely with the dielectric constant of the surrounding medium to the second power, so, particles in a lower dielectric media, such as those in a polymer matrix, have a greater binding energy than particles in a higher dielectric material, such as an inorganic semiconductor. This effect limits the time an electron-hole pair will stay in an excited state and therefore shortens the exciton diffusion length in low dielectric media, one of the most damaging characteristics of polymer based solar cells, and performance is directly linked to morphological details. Of course, a high binding energy could be overcome by synthesizing polymers with much higher dielectric constants, a difficult endeavor, or by astutely controlling the thin film nanoscale morphology so that all created excitons will reach a dissociation 60 interface. A number of groups have measured the exciton diffirsion length of P3HT, reporting values ranging from 2 to 8 nm.”‘ 73 Based on this diffusion length and the roughly 200 nm active layer thickness, a comb-like structure would be ideal, having PCBM columns separated by ~10 nm spanning the entire film thickness.11 Fabricating such a device, however, would require expensive and time consuming lithographic techniques that have yet to be developed and would eliminate much of the cost savings associated with solution processing. Thus, an optimized solution processable bulk heterojunction must be used to create a cost effective polymer based solar cell. Initial work on improving device performance was focused on manufacturing techniques such as choice of solvent,74 thermal annealing,ls solvent annealing[3 and changing the polymer to electron acceptor ratio.75 These processing variations have resulted in improved devices, but a complete understanding of what promotes improvement is not truly understood. A number of groups have shown correlations '3’ 76’ 77 which leads to between processing parameters and enhanced P3HT crystallinity, improved device performance from an augmentation in hole transport.78 While improving the crystal structure of P3HT, and therefore hole transport, is widely accepted to enhance device performance, there is a limit to the total improvement that can be gained via this strategy. For example, as hole mobility is increased, by using a greater proportion of P3HT, a corresponding drop in electron mobility is seen due to the lack of electron transporter available which adversely affects overall perfomance.79 Clearly the device properties are dictated by the polymer and nanoparticle ratios and their mixing necessitating careful evaluation of the morphology. 61 Yet, even with this simple objective in mind the device properties are not always straightforward to interpret. Experimental results revealed that increased P3HT crystallinity, promoted through solvent annealing, increased device performance but also increased photoluminescence (PL),'3 a counterintuitive phenomenon. If an exciton does not dissociate it will recombine, generally radiatively, reducing overall device performance due to less charge separation. Here we focus on characterizing the structure to resolve this conundrum and provide detailed structural information leading to an explanation of device performance. 1.5x106 "E o ... 2 a .E, a ‘3 2 5 9 o C uo-o — C 2 S 0 . . . _ -. _ 0F J l I 600 650 700 750 800 850 0.0 0.2 0.4 0.6 Wavelength (nm) Voltage (V) Figure 4.1: Comparison of thermal annealing effects on photoluminescence and solar cell performance. Thermal annealing a 1:1 by weight P3HT:PCBM solar cell at 140°C for 20 minutes increases the total amount of photoluminescence (a), indicating a much higher degree of geminate recombination. However, this annealing also produces a much improved device (b) with device efficiency increasing from 1.2% to 2.9%. In Figure 4.1 we show PL measurements of two devices and the corresponding current density (J) vs voltage (V) curves. All cell properties are shown in Table 4.1. Both were spin coated at 2500 RPMs from chlorobenzene with one device tested as cast and 62 the other tested after thermal annealing for 20 minutes at 140°C. The as cast film provides less photoluminescence indicating a high degree of exciton separation compared to the annealed sample in terms of light emitting recombination. However, the annealed sample is a substantially better solar cell with improved short circuit current, fill factor and efficiency as clearly shown in the figure and table. The best device, seemingly, should have the least amount of photoluminescence, but our experimental evidence, in agreement with previous studies, shows this is not the case. As Cast Annealed Efficiency [%] 1.2 2.9 JSC [mA/cmz] 4.2 9.2 Voc [V] 0.62 0.57 FF [%] 45 54 Relative PL 1 3 Table 4.1: As cast and annealed solar cell properties and their relative photoluminescence obtained by integrating both curves between the wavelengths studied. To investigate why superior performing cells have increased photoluminescence a detailed understanding of the P3HT:PCBM bulk heterojunction overall morphology is investigated. Previous researchers have studied the vertical concentration profile of polymer based solar cells using Phase Sensitive Neutron Reflectometry (PSNR),80 Near Edge X-ray Absorption Fine Structure Spectroscopy (NEXAFS),56 ellipsometryfland X- ray Photoelectron Spectroscopy (XPS).7| In our previous work, using PSNR,80 we showed the vertical phase segregation of PCBM in a P3HT matrix was opposite to that desired according to energy band level alignment. PCBM concentrated at the substrate interface and near but not at the air interface where the aluminum counter-electrode was 63 deposited. A large amount of PCBM agglomerating at the conductive oxide is clearly undesirable based on an energy level alignment argument and suggests why ‘inverted’ devices have shown good performance.” 83 Upon annealing, however, the PCBM accumulates at the air interface creating an improved a pathway for electrons to leave the device through the deposited metal electrode. This PCBM migration upon thermal annealing is a clear indicator that the PCBM is in a kinetically trapped state upon spin coating and has some mobility within the device. In addition, previous work63 considering annealing studies on quartz show PCBM agglomerating to large, micron sized domains; another indication of PCBM’s mobility within the thin films, which is an important aspect to our present study. Neutron reflectivity is used to measure out of plane density variations within films, and hence overall vertical composition, but cannot be used to elucidate any information of overall particle agglomerate size scale or dispersion within a film. Clustering of PCBM in these devices was characterized with small angle neutron scattering (SANS) on thin films of P3HT and PCBM in a 1:1 by weight ratio. Neutron scattering is uniquely suited to this system since there is a large, natural neutron scattering length density (SLD) difference between P3HT (SLDP3HT = 0.74 and6 M) and PCBM (SLDPCBM = 3.7 x10.6 A2). Both SLD values were determined experimentally in our previous study80 and correspond well to theoretical calculations. SANS has been used for many years as an extremely powerful tool for investigating nanoscale structures within polymers. Size regimes of particles,84 radii of gyrations85 and even less defined structures such as fractals86 can be characterized in great detail. Investigating thin films of polymers is a less used, yet, still extremely powerful 64 application of SANS. Jones et al. demonstrated that thin films could be effectively investigated with SANS by stacking multiple films together in their studies of interfacial confinement on the radius of gyration of deuterated polymers.” 88 We performed SANS on solar cell mimics of two samples, both spin coated at 2500 RPMS on PEDOT:PSS, to characterize the phase separated morphology. One sample was tested as cast and the other after annealing for 20 minutes at 140°C. Since the films were so thin, 15 or more were stacked together to provide adequate scattering intensity. Both neutron and x-ray scattering were used to measure individual film thicknesses, which allowed calibrating each run to an absolute intensity scale. The PEDOT:PSS layer was used for multiple reasons. Much work has shown that changing the surface energy of a substrate can change the distribution of PCBM and, in the case of thermal annealing, cause PCBM to cluster together on an SiOz substrate. Using a PEDOT:PSS bottom layer assured no clustering of PCBM upon annealing.63 Additionally, to gain a high enough count rate and reduce the signal to noise ratio, a number of films needed to be stacked on top of each other. This could be accomplished by stacking the films spin coated on individual PEDOT:PSS coated wafers, which would have totaled 3.75 mm in thickness, and is clearly not desirable. Additionally, the PEDOT:PSS layer would have added roughly 30% more hydrogen to the system, which would have contributed significantly to the incoherent scattering background. Instead, the films were floated from the wafer in a water bath and stacked on top of one another to form a multilayered sample. As PEDOT:PSS is water soluble, the floating procedure was relatively simple. Previous neutron reflectivity experiments by us using this technique, 65 which is a sensitive test to processing induced defects, revealed excellent results, indicating no adverse effects from this procedure.89 A plot of intensity (I(q)) versus wave vector (q) for the as cast and annealed pure P3HT samples is shown in Figure 2. The upturn seen in all the scattering profiles at low q is attributed to the surface roughness of the individual films88 and only data outside this regime are considered. Clearly, both solar cell mimics show scattering plateaus as q tends to zero (1(0), before the upturn) indicating an appreciable increase in scatterer size evident from90 1(0) = ¢ V mi (4.1) where ¢ is the particle volume fraction, V, the scatterer (particle agglomerate) volume and Ap the difference in the scatterer and surrounding matrix scattering length densities (SLD). Immediately one can discern the scatterer size increases by a factor of ~5 by taking the ratio of the two plateau values. A more thorough analysis can be made by modeling the PCBM agglomerates as polydisperse Schultz spheres having hard sphere interactions that are surrounded by a matrix of P3HT and solubilized PCBM. While it is unlikely the agglomerates are truly spherical, this assumption provides a reasonable approximation to the system which we justify a posteriori through consistency of the interpretation. The model contained a total of four unknown fitting parameters: scatterer volume fraction, scatterer mean radius, scatterer polydispersity and matrix SLD. To further the interpretation we made another (standard) assumption that the SLD of the two components in the matrix could be scaled with their volume fraction. In other words, an increase in matrix SLD would directly 66 indicate a higher concentration of dispersed, high SLD particles (PCBM). Comparison of the fit to the data is good, as shown in Figure 4.2, with the fit parameters given in Table 4.2. DI I I I I I I I I I I I I Th1 1000 * D D I ; 2: r. n‘ ”g“ FA 100 + 8““ E +9 ! 3 o ‘ 5‘ +‘ 0.. ‘ .(T) 1 0 '6‘ - , -- .r. . "J0"..- ("'03 . c ...... , \ ‘ ‘ E + .4; ‘6‘“ 1 _ Mixture Annealed *d' g 03:3‘ 50 Mixture As Cast «5 ... ... .3}: :+ Pure P3HT Annealed‘ o;°.f. 4», -=.- I“ L0 Pure P3HT As Cast . . 01 lBe§tFllt§llll 4 ? r 1 111:], ' 2 3 4 5 6 2 3 4 5 6 0 01 0.1 e (A") Figure 4.2: Plot of intensity (I) versus wave vector (q) for both the annealed and unannealed samples of 1:1 by weight ratio of PCBM and P3HT as well as annealed and unannealed samples of pure P3HT. Annealing pure P3HT has no noticeable effect on the scattering but annealing the mixture shows a clear increase in scattering, indicating a substantial change in PCBM agglomerate size. The solid lines labeled “Best Fits” are from a polydisperse Schulz model having hard sphere interactions as described in the text. Annealing has the effect of increasing the PCBM agglomerate size and volume fraction suggesting a coarsening of the phase separated morphology. Further, it appears that PCBM is soluble to ~ 16 vol% concentration in the P3HT matrix, which agrees well with a recent study91 where the authors show a solubility of ~ 20 vol% for the same 67 system using a different technique. Taking the sum of PCBM agglomerate volume fraction with that in the matrix we arrive at a total PCBM concentration of ~ 50 vol% which is close to the expected value of 47 vol%. This lends some assurance that our fitting technique is valid since thePCBM agglomerate volume fraction and matrix SLD were both allowed to be unrestricted parameters. As Cast Annealed (PIESM agglomerate radius 3.3:: 5.9 i 2.4 PCBM agglomerate vol% 18% 35% PCBM vol % in matrix 33% 16% PCBM vol% in total 52% 51% Distance between agglomerates (nm) P3HT crystallite size (nm) 9.2 16.3 1511.2 4,912.0 Table 4.2: Comparison of PCBM agglomerate size and polydispersity, spacing and P3HT crystallite size. Fitting the neutron scattering data resulted in the concentration of the PCBM agglomerates and the amount of PCBM in the surrounding polymer-rich phase (matrix). These concentrations were added together to get the total PCBM concentration which, based on the solution concentration, should be 47%. Perhaps the most important characteristic of the morphology, at least in terms of the PL measurements, is the distance between the agglomerates, H, estimated by H/D z [1/ [HI/3 — 1, where D is the agglomerate mean diameter (we write [l/l:l]l/3 rather than [Um/EHIB, where Um is the maximum packing fraction, since the agglomerates are polydisperse in size and so would pack very efficiently making Elm much larger). The 68 values are listed in Table 2 and we find the distance increases to ~ 5 nm from ~ 1.5 nm 72 73 - . - ’ the increase in PL 18 after annealing. Since the exciton diffusion length is ~ 2 to 8 nm completely consistent with the increase in distance between interfaces. However, the efficiency also increases and we suspect the PCBM agglomerate connectivity becomes more robust allowing greater current flow which we show in Figure 4.3. As cast _ Annealed Figure 4.3: Cartoon of morphology change after thermal annealing. The PCBM particles are well dispersed after spincoating and a poor charge transport network results due to lose interconnectivity of the PCBM aggregates. The PCBM and P3HT form better transport networks after annealing through a coarsening of the structure with a subsequent increase in spacing between PCBM aggregates. These two effects yield an increase in efficiency through better conductive pathways but simultaneously increase photoluminescence due to greater interparticle gaps. In making this cartoon representation of the morphology for the figure we have incorporated our previous neutron reflectivity results80 demonstrating enhanced PCBM concentrations at the two interfaces and an approximately constant concentration in the center. Our suggestion, based on this study, was that an increase in PCBM concentration near the aluminum counter-electrode after annealing enhanced the efficiency. This is certainly true, however, the present neutron scattering results suggest that structure 69 coarsening is a dominant factor providing better conductive pathways to the electrodes while simultaneously explaining the increased PL. Device efficiency is also influenced by P3HT crystallinity and we investigated the crystallite size using grazing incidence x-ray diffraction (GIXRD) on the films. Others have previously performed GIXRD on P3HT:PCBM films to show that after annealing, 76’ 77 an increase of both through exposure with solvent vapor'3 or by thermal means, coherence length of the P3HT crystalline domain occurs. A GIXRD plot of both an as cast and annealed device, shown in Figure 4.4, demonstrate a similar increase in coherence length after thermal armealing through the narrowing of the characteristic (100) P3HT crystalline peak at q = 0.3 85A'l (5.45°) (Intensity in arbitrary units). We use Scherrer’s relation to interpret our results D _ 0.91 hkl — BMW“ (9) (4.2) where thl is the crystalline coherence length (the (100) crystal in this case), A is the incident wavelength (1.54 A for the Cu ka source used in this work), 9th is the Full Width Half Max (FWHM) of the W crystalline peak in radians and 0 is the peak position. From this simple analysis we find the as cast film has a length scale (thI) of roughly 9 nm, which increases to approximately 16 nm upon annealing. An increase in P3HT crystallite size is desired since higher crystallinity P3HT provides better conduction properties through perfection of the conductive network, however, an increased crystallite size simultaneously increases the distance an exciton must travel to 70 reach a dissociation point, a competing effect. Indeed this must also account for the increased PL in the annealed samples, acting in conjunction with the increased separation distance between PCBM agglomerates and resulting in an obvious enhancement in geminate recombination. 500 l l l I r l O Annealed — As Cast 400 13‘ E 3 9 300 .42 (I) C .9 200 E 100 0.4 0.6 0.8_ 1.0 1.2 1.4 (NA) Figure 4.4: Grazing-Incidence X-ray Diffraction (GIXRD) plot of intensity versus wave vector (q) for an as cast and annealed film of a 1:1 by weight mixture of P3HT and PCBM. The peak narrowing and decreased FWHM of the annealed sample indicates an increase in P3HT crystallite coherence length from 9 to 16 nm. We would like to note that while a decrease in FWHM of XRD data is often reported for these systems as an increased crystallite size, this is not necessarily true. An increase in diffraction peak intensity with a corresponding decrease in FWHM indicates an increase in crystallite size, a reorientation of the crystallites or, as we suspect here, a combination of both. Previous reports on similar systems show both an increase in 71 crystallite size coupled with a slight reorientation of the polymer,”94 and we suspect the same phenomenon is occurring here. The coupling of PCBM agglomerates’ size and spacing and P3HT crystallite size demonstrates the correlated interplay between the two active layer components. It infers a theoretical maximum efficiency of a polymer/nanoparticle device at some intermediate between complete dispersion and complete phase segregation. Monte Carlo simulations of this exact effect were performed by Watkins et al. by varying the size regimes and 5 They showed that extremely well dispersion of an electron acceptor/donor system.9 dispersed systems and highly phase separated systems produced poor devices due to the limits on charge carrier extraction and exciton dissociation, respectively. An intermediate system, however, produced the best devices from a good balance between charge carrier extraction and exciton dissociation. Indeed we may have an intermediately mixed system at hand afier annealing and the structure appears to approach the length scales required for good device performance albeit the PCBM agglomerates could be placed closer together to minimize PL. Decreasing PCBM separation, though, seems to come at the cost of poor charge carrier networks or decreased hole mobility. However, one should note that there is ~ 15 vol% PCBM dissolved in the P3HT rich phase between the agglomerates. While it is not clear where they are located, although they are probably within amorphous regions surrounding the crystallites, they could act as traps and be a factor in recombination. In addition, in our previous study,80 we found there was 75 vol% PCBM trapped at the transparent conductive oxide side of the device which did not change composition upon annealing, which is clearly undesirable. So, whether a device fabricated with these two 72 or similar components could be made substantially more efficient is not clear and suggests the interplay between kinetically trapped structures and the path to thermodynamic equilibrium is key to manufacture of the appropriate device dictating careful morphological measurement be performed. 4.2 Experimental Section 4.2.1 Neutron Scattering To mimic actual solar cell devices the SANS samples were prepared by spin coating roughly 40 nm films of PEDOT:PSS onto silicon wafers, which were then baked at 130°C in air for 30 minutes. The coated wafers were transferred into a nitrogen filled glove box and a 1:1 by weight solution of P3HT and PCBM in chlorobenzene was spin coated onto the PEDOT:PSS coated wafers at 2500 RPMS for 60 seconds. The P3HT (Rieke Metals) and PCBM (Nano-C) were dissolved at a total concentration of 30 mg ml‘ 1 (15 mg P3HT and 15 mg PCBM per 1 ml of chlorobenzene). Annealing was performed at 140°C for 20 minutes inside the glove box. The wafers were then removed from the glove box and each film was floated off in water and then picked up by a double side polished Si (111) wafer (25.4 mm diameter). Each film was dried in air and then a successive film was floated into water and picked up in the same fashion. This process was repeated 17 times for the annealed samples and 15 times for the unannealed samples using a total of 5 wafers in each case. So, for the annealed case, 3 double sided polished Si (111) had 5 films stacked on top of them and 2 had 6 films stacked on top. For the unannealed case all 5 wafers had 5 films stacked on top. Pure samples were made in an 73 identical manner except the pure films were spin coated from a 30 mg/ml solution of pure P3HT. This large number of films was needed in order to both obtain a high enough signal to noise ratio as well as reduce counting time to a reasonable value. All neutron scattering was performed at the National Institute for Standards and Technology Center for Neutron Scattering on the NG3 SANS instrument. Three detector distances were used; 2, 6.8 and 13.2 meters, all using a wavelength of 8 A. Although the intensity of a neutron beam decreases as k4 for a neutron source, the Si (111) wafers required the higher wavelength. Si (111) wafers can give rise to double diffraction peaks when stacking them together,87 and hence the lower intensity 8 A neutrons were used. Data reduction and evaluation was performed using the NCNR SANS packages SANS Reduction v5 and SANS Analysis v3.96 To maximize total counts, all samples were placed under vacuum during testing. 4.2.3 X-ray Scattering Samples used for x-ray scattering were prepared using the same 1:1 by weight blend of P3HT and PCBM (30 mg ml'l) in chlorobenzene (1 ml) as above. Glass slides (25.4 x 25.4 mm) were first coated with a roughly 25 nm layer of PEDOT:PSS, which were baked at 130°C in air for 30 minutes and then transferred to a nitrogen glove box. The P3HT:PCBM solution was spin coated onto the PEDOT:PSS coated substrates and the annealed samples were heated at 140°C for 20 minutes. All X-ray measurements were performed on a Rigaku Ultima IV multipurpose XRD system housed at the University of Delaware. GIXRD was performed using a 74 standard XRD sample holder at a fixed incident angle of 0.6 degrees in 20 mode sweeping the detector from 2 to 8 degrees. The 1.54 A wavelength copper kor source was set at an accelerating voltage of 40V and a current of 44 mA for all experiments. 4.2.4 Photoluminescence Measurements Photoluminescence measurement were performed on a Horiba Jobin Yvon F luoromax-4 spectrofuorometer with an incident wavelength of 550 nm using identical samples to the X-ray measurements. 4.2.5 Solar Cells Solar Cells were prepared in the same way as the X-ray and PL measurement samples except ITO coated glass slides with a sheet resistance of 8-12 Q cm‘2 (Delta Technologies) were used instead of pure glass slides. For more accurate testing and creation of multiple devices on one substrate, the ITO was patterned using an HCl etch before device fabrication. After spin coating of the active layer and annealing, the coated substrates were transferred to a thermal evaporator and a 1 nm layer of lithium floride (LiF) and subsequently an aluminum back electrode were both thermally deposited under a vacuum of 5x10'7 torr at a rate of 0.2 nm sec]. The devices were tested using a 150 W Oriel class A solar simulator under AM 1.5 conditions at 1 sun illumination as determined by a calibrated reference solar cell traceable to the National Renewable Energy Laboratory. 75 CHAPTER 5: CREATION OF ROUGH SURFACES TO ENHANCE SOLAR CELL PERFORMANCE 5.1 Introduction Much of the focus of this dissertation has been on describing the internal morphology of P3HT:PCBM solar cells and correlating the morphology with performance. A great deal of control over nanoparticle location in amorphous polymers such as PS and PMMA has been demonstrated and is discussed in Chapter 6, but controlling the internal structure of a P3HT:PCBM solar cell is more difficult. With the crystallinity and degradation temperatures of P3HT being so close together, making vast morphological changes by melting the polymer is not possible as devices annealed near or above the melting temperature of P3HT have been found to be exceptionally poor. Similarly, with such high volume fractions of PCBM needed to make a device, solubility limitations of both the polymer and nanoparticle dominate the structures formed upon film casting preventing controlled segregation to an interface. Proper choice of processing conditions '5’ 76' 77 and controlling polymer molecular such as solvent choice,74 annealing methods weight16 can all enhance device performance, but, due to the nature of solution casting these devices, control of nanoparticle location with these methods is limited. As discussed in Chapter 3, the vertical PCBM concentration profile formed directly after spin coating is nearly opposite to that desired for an ideal device. Groups have developed ‘inverted’ devices where the cathode and anode are flipped either by using electrodes with different work functions82 or physically depositing the traditional electrodes, Al and ITO, on opposite interfaces.83 These inverted devices are comparable 76 with traditional ones and eliminate some of the charge transport problems associated with the dense PCBM layer present at the substrate but they add complicated processing steps or require more obscure materials making fabrication more difficult and potentially more costly. A simple yet robust method to enhance the overall morphology of these solar cells is desired but neutron scattering results show we have only limited control over the internal structure afier a film has been cast. With this in mind we looked to previous work in our lab where we created nanorough substrates by adding 120 nm silica (SiOz) particles into thin films of polystyrene.97 The particles were larger than the thickness of the pure polymer film and produced large protrusions, increasing overall roughness and apparent surface area of the substrate. A rougher substrate in a polymer solar cell will increase the contact area between the PEDOT:PSS and active layer, possibly allowing for increased exciton separation and potentially leading to the ultimate goal of producing a co-continuous comb-like structure of donor and acceptor materials.ll Lithographic methods of producing comb-like structures have been developed98 but these methods are time consuming and cannot yet achieve the roughly 10 nm diffusion length scale of a polymer solar cell exciton. In addition to the enhanced interfacial area, the particles could act as scattering centers to the incident light, increasing the path length of light within the device and enhancing overall absorption. Light trapping methods have been used in inorganic solar cells for many years, but these methods generally involve using surface modified glass to change the direction of incident light, where the surface modifications are 10’s of microns in size, much greater than the wavelength of incident light. Recently, however, 77 aluminum oxide (A1203) particles were used to enhance light trapping in a silicon nanowire based solar cell.99 In this work the roughly 900 nm A1203 particles were randomly distributed throughout a forest of silicon nanowires and increased the overall light absorption from 80.8% to 84.4%. This result is noteworthy because the particles were of the same order in size as the wavelength of the absorbed light, indicating absorption enhancement is possible without using structures larger than the wavelength of incident light. 5.2 Rough Surface Creation In hopes of creating a surface that will aid in increasing both the overall surface area of the active layer and absorption through light scattering, we created ‘rough’ substrates by adding 120 nm SiOz particles into the PEDOT:PSS layer of a traditional solar cell. The SiOz particles are coated with a citrate layer, making them soluble in water and easily dispersible in a solution of PEDOT:PSS. Figure 5.1 is a compilation of AFM images of PEDOT:PSS layers on silicon substrates containing increasing amounts of SI02 particles dispersed within the PEDOT:PSS. A layer of pure PEDOT:PSS (12 mg/ml PEDOT:PSS/water solution spin coated at 3000 RPMS) is relatively smooth but both the roughness and surface coverage of SiOz particles increase as the concentration within the 12 mg/ml PEDOT:PSS solution is increased from 10 mg/ml to 40 mg/ml. 78 208.00nm 252.00nm Figure 5.1: Top down and 3D AFM images of (a,c) pure PEDOT:PSS and PEDOT:PSS films containing (b,d) 10 mg/ml, (e,g) 20 mg/ml and (f,h) 40 mg/ml Si02 particles in the initial solution. Increasing the solution concentration of Si02 increases the overall surface coverage and roughness of the PEDOT:PSS coated films. 79 140.00nm Figure 5.2: Top down and 3D AF M images of a 1:1 by weight film of P3HT and PCBM on top of PEDOT:PSS with varying concentrations of SiOz in the initial solution. (a,c) pure PEDOT:PSS and PEDOT:PSS films containing (b,d) 10 mg/ml, (c,e) 20 mg/ml and (d,f) 40 mg/ml SiOz particles in the initial solution. Increasing the solution concentration of Si02 increases the overall surface coverage and roughness of the PEDOT:PSS coated films. .80 Similarly, as seen in Figure 5.2, spin coating an active layer of 1:1 by weight P3HT:PCBM on top of the rough surface and annealing it for 20 minutes at 140°C shows a substantial roughness is still present on the top of the film. 5.3 Solar Cells on Rough Surfaces Clearly, adding SiOz particles to the PEDOT:PSS layer adds a substantial amount of roughness and surface area to the active layer. Each of these PEDOT:PSS layers were tested as substrates within solar cells and, shown in Figure 5.3, a substantial increase in device performance with the rough surfaces compared to the pure PEDOT:PSS film results. Figure 5.3 is a plot of current density (J) versus voltage (V) for solar cells spin coated on top of a PEDOT:PSS layer spin coated from solutions containing 0, 10, 20 and 40 mg/ml of 120 nm SiOz spheres, respectively. Cell properties are shown in Table 5.1. Pure PEDOT- 10 mg/ml. 20 mg/mIA 40 mini]- Jsc (mA/cmz) 5.0 6.1 7.4 6.7 Voc (V) 0.55 0.56 0.55 0.54 FF (%) 47 52 58 58 n (%) 1.3 1.8 2.3 2.0 Table 5.1: Solar cell properties of the devices shown in Figure 5.3. They symbols next to each cell title correspond to the device J -V curves in Figure 5.3. 81 L ..... ........................................... — Pure PEDOT:PSS + 10 mg/ml Si02 _2 _ + 20 mg/ml SiOz + 40 mg/ml Si02 O Current Density (mA/cmz) 0.0 0.2 0.4 0.6 Voltage (V) Figure 5.3: Current density (J) versus voltage (V) plot of solar cells having an increasing amount of SiOz particles dispersed within the PEDOT:PSS layer. The pure PEDOT:PSS device produces the worst cell but upon addition of Si02 in the PEDOT:PSS layer the efficiency, short circuit current and fill factor all increase. A solar cell on top of a pure PEDOT:PSS layer produces an unremarkable cell with a relatively low efficiency, short circuit current and fill factor. Adding SiOz into the PEDOT:PSS layer, however, noticeably increases all of these properties, with a maximum ch, FF, and 11 found in the device with a PEDOT:PSS layer spin coated from solution containing 20 mg/ml SiOz. This increase in device performance could, at least somewhat, be related to the increase in surface area of the film and hence increased contact area between the 82 PEDOT:PSS layer and active layer. However, the increase in surface area is a direct result of adding more Si02 on the substrate which decreases the amount of substrate exposed directly to PEDOT:PSS. While an increase in surface area is theoretically desired for increased charge transfer, completely covering the susbtrate with SiOz particles would prevent most of the holes from being extracted from the PEDOT:PSS by the conducting oxide electrode. The total surface area increase and SiOz surface coverage is shown in Table 5.2. While the overall area does increase with increasing Si02 concentrations, the improved surface area does not equal the improvement in device performance. Short circuit current increases roughly 25-50% for the devices with $102 but the maximum surface area increase of the PEDOT:PSS film is only 16%. Furthermore, the best cell produced here, the 20 mg/ml device, does not see the largest surface area enhancement. One reason for this could be that as Si02 concentration is increased the exposed ITO decreases. For the 20 mg/ml there is still 65% of the ITO exposed to the PEDOT:PSS film. For the 40 mg/ml case, however, a relatively small increase in overall surface area from the 20 mg/ml device (13% to 16% relative to a pure PEDOT:PSS film) is coupled with a substantial decrease in exposed ITO (65% exposed to 35% exposed). This large drop in available ITO for charge transfer could be the reason a maximum performing device was found at a concentration of 20 mg/ml. 83 Pure 10 mg/ml 20 mg/ml 40 mg/ml PEDOT:PSS SiOz SiOz SiOz PEDOT:PSS Surface Area 0% 7% 13% 16% Increase S102 Surface 0% 20% 35% 65% Coverage Table 5.2: Total PEDOT:PSS surface area increase and surface coverage change upon addition of SiOz particles into a film of PEDOT:PSS. Clearly the addition of SiOz improves device performance but the increase in overall surface area does not account for the total improvement. To further explain the mechanism of performance enhancement we investigated if the Si02 particles were scattering incident light and increasing overall exciton production. 5.4 Spectroscopic Measurements To investigate whether the particles do enhance light scattering, and hence absorption, we performed absorption spectroscopy measurements on the PEDOT:PSS layers. Figure 5.4 is a plot of absorbance versus wavelength for a pure PEDOT:PSS film, all three SiOz concentrations studied and a pure glass substrate are shown for comparison. The absorbance of pure glass was subtracted, via a reference sample, for all data shown. As can be seen in the figure, pure PEDOT:PSS begins to absorb light around 350 nm but does not absorb substantially until below 300 nm. Addition of the SiOz particles, however, shows absorbance beginning at 600 nm, a substantially lower energy wavelength than pure PEDOT:PSS will absorb. The 10 and 20 mg/ml samples show nearly identical absorption but the 40 mg/ml sample has significantly enhanced absorption compared to the others. From the absorption plots of a glass substrate and that of pure PEDOT:PSS we can reasonably assume that the films containing SiOz particles are not actually absorbing more light, so the SiOz particles must be scattering the light such that it does not propagate to the detector of the spectrometer. Shown pictorially in Figure 5.5, some of the incident light on the PEDOT:PSS film (Figure 5.5a) that is above the band gap will be absorbed by the film while the rest passes through. For the samples containing SiOz (Figure 5.5b) the same amount of light is absorbed by the film, but some of the light is scattered as it contacts the particles and never reaches the detector. Hence, an apparent increase in absorption is seen when, in actuality, the rough films merely scatter the light, preventing it from reaching the detector. Increasing the number of particles on the surface increases the number of scatterers and the total light scattering, which is apparent in Figure 5.4. 85 0.4 I A. . . i e\: l T I . 00.30 _ j i E 0.20 ~ H S 0-3 ‘t €0.10:- aj " 1 0.00 ' I ‘ f; : ‘0 300 400 500 600 2 0 2 _i Wavelength (nm) 5 i — Pure PEDOT:PSS 8 '. - - - Glass 2 ', + 10 mglml SiO2 0.1 ' + 20 mglml SiO2 - —l- 40 mglml SiO2 0.0 1 300 400 500 600 700 Wavelength (nm) Figure 5.4: Absorbance spectrum of PEDOT:PSS layers on glass with increasing amounts of Si02 dispersed within. A larger amount of Si02 dispersed within the PEDOT:PSS layer shows a higher light absorbance, which indicates an increase in scattered light from the SiOz particles. The inset shows scattering efficiency versus wavelength for Mie scattering theoretical calculations across 120 nm spheres. The scattering increase according to Mie theory directly correlates with the increase in observed absorbance in the rough PEDOT:PSS layers suggesting Mie scattering from the 120 nm SiOgspheres is the cause for the increase absorbance. 86 Pure PEDOT:PSS 333‘s :3 ’ g E 9 8 TE.’ ’ '° 0 .5 Rough PEDOT:/y a . .2” :5 2". a) 8 5 1'3 ..o '0 '8 .5 \ Figure 5.5. Diagram of proposed scattering from rough surfaces with SiOz inclusions. For a pure PEDOT:PSS film (a) a percentage of the incident light is absorbed by the layer and the rest passes through into the detector. For a rough PEDOT:PSS film with SiOz inclusions (b) the same proportion of the incident light is absorbed by the film but a proportion of the non-absorbed light is scattered away from the detector. To confirm the hypothesis that the particles are scattering light from the detector we looked to Mie scattering theory. Mie scattering is an extension of Rayleigh scattering that is used describe the scattering effects of particles on incident light. Rayleigh theory describes the scattering of light when a particle is much smaller than the incident wavelength but breaks down when the particle size reaches about 10% of the wavelength. Mie theory describes scattering that occurs from particles that are of the same size order of incident light. The overall scattering efficiency, i.e. the fraction of incident light on a given area that will be scattered by the particles, is shown as the inset in Figure 5.4. The scattering efficiency increases nearly identically with the increase in observed absorbance 87 for the rough PEDOT:PSS layers indicating that Mie scattering is the reason for the increased observed absorbance. An experimental confirmation of this theory requires an integrating sphere in conjunction with a UV-Vis absorption spectrometer, but no integrating sphere was available. The intensity of light as a function of distance within a material can be determined by the equation I : 108—a2 (5-1) where I is the light intensity at a distance 2 into the material, 10 is the incident light intensity and or is the absorption coefficient. The solar cell films studied here are about 90 nm thick and roughly 50% by volume P3HT. Using a value of 1.75 x105 cm.1 for (1'00 and assuming the absorption properties do not change substantially for P3HT when it is in a mixture with PCBM, only about 60% of the incident light within the absorption spectrum of P3HT will be absorbed. Even if the entire 90 nm film was P3HT only 80% of the incident light would be absorbed, so regardless of the assumptions made for the absorption properties of P3HT in a mixture, all of the light is not being harvested by the active layer. Despite the excess scattering provided by the SiOz particles and the less than 100% absorption by the active layer, absorption characteristics of P3HT:PCBM films coated on the rough PEDOT:PSS layers show minimal absorption increases compared to a pure PEDOT:PSS device, see Figure 5.6. The devices with SiOz showed a 25-50% 88 increase in short circuit current but the increase in absorption was only 3-8% over the entire absorption spectrum, not nearly enough to account for the J sc increase. Intensity (A.U.) — Pure PEDOT:PSS Ann + 10 mglml SiO2 Ann .. — --I— 20 mglml SiO2 Ann L + 4q mglml SIOZ Ann L 300 400 500 600 700 Wavelength (nm) Figure 5.6: Absorption spectrum of 1:1 by weight P3HT:PCBM films on top of PEDOT:PSS fihns with various concentrations of SiOz particles within the film. An increase in the amount of SiOz particles within the PEDOT:PSS film increases the overall absorption, but the increase is small compared to the increases seen in the device properties. Although the absorbance spectrum of a P3HT:PCBM film changes very little when spin coated on these rough surfaces, the PL increases dramatically, Figure 5.7: The absorption for 10, 20 and 40 mg/ml samples increases 3%, 5% and 8%, respectively, but the PL increases by 40%, 67% and 80% for same samples. Based on the SANS results discussed in the Chapter 4 we know that an increase in PL can indicate excitons are being 89 produced farther from PCBM molecules and we must conclude this same phenomenon is occurring here. I l l — Pure PEDOT:PSS + 10 mglml SiO2 n -l— 20 mglml SiO2 + 40 mglml SiO2 O N O X .3 O I x ’7‘ it 2 1.5 _ ' \, — a. l c 3- / x .5 \ C o 1-0 ‘ a A a f’ 0.5 — g n \ \ ... 4‘ l l l 600 650 700 750 800 wavelength (nm) Figure 5.7: Photoluminescence data of 1:1 by weight P3HT:PCBM films on top of PEDOT:PSS films with various concentrations of SiOz particles dispersed within. An increase in the amount of Si02 particles within the PEDOT:PSS film total photoluminescence to a much greater degree than the observed solar cell properties or absorbance. 5.5 Discussion Section Clearly the addition of a rough surface by inclusion of Si02 particles into the PEDOT:PSS layer creates a complex balance of phenomena contributing to solar cell performance. The rough surface creates higher interfacial area between the PEDOT:PSS and the active layer as well as the metal electrode and the active layer, which may 90 increase overall charge separation at the interfaces. Furthermore, we know the formation of the active layer morphology is dominated by the limited solubility of PCBM. Creating a rougher surface with the Si02 particles could create regions within the film that trap solvent from evaporating which would effectively trap more PCBM particles within these regions of higher solvent concentrations. This PCBM trapping could expose more of the PEDOT:PSS layer to P3HT, allowing for improved hole conduction. Trapping more PCBM could also explain the PL increase with greater surface roughness. As a larger amount of PCBM is pulled out of the film the distance between PCBM molecules will increase, lowering the chance an exciton will find a PCBM and dissociate. Another possible explanation as to why the rough surface could provide a better device is from an increase in vertical alignment of P3HT crystallites within the device. Previous work has shown that P3HT prefers to align horizontally with the substrate upon annealing?"94 but optimal transport of charge carriers out of a device requires the polymer to be aligned vertically. By adding large protrusions in the solar cell, the P3HT can align vertically along the protrusions instead of aligning horizontally along the substrate. Unfortunately, characterizing the PCBM morphology and P3HT alignment in a system such as this is rather difficult. Accurately determining PCBM cluster size requires the use of neutrons, but performing small angle neutron scattering on a 4 component system without being able to contrast match would be nearly impossible. Performing XRD measurements on these films to determine the orientation and alignment of the P3HT is possible, but the SiOz particles would make traditional GD(RD, which is usually used in thin film work, not straightforward. Properly aligning and 91 rotating the samples could become a time consuming and difficult task. Regardless of the difficulties in further characterizing the morphology of these devices, it is clear that roughening the surface with a light scattering particle does enhance device performance. In addition, there is an apparent optimal concentration of 20 mg/ml SiOz particles in the PEDOT:PSS solution. 5.6 Experimental Section PEDOT:PSS films with SiOz particles dispersed within were prepared as follows. 120 nm SiOz particles (Bangs labs) were added to a stock solution of PEDOT:PSS (H.C. Stark) such that the final solution would contain 10, 20 or 40 mg of SiOz particles per total ml of solution. The solution were then diluted with ultrapure water from the stock concentration of 15 mg/ml down to 12 mg PEDOT:PSS/ml water. The resulting solutions were sonicated for 30 minutes to break up any aggregates, filtered through a 200 nm PTFE filter and then spin coated at 3000 RPMS for 60 seconds. The pure PEDOT:PSS films were 23 nm in thickness as determined by neutron and x-ray reflectometry. The films were then dried in an oven for 30 minutes at 130°C and characterized or transferred to a glove box to be coated with a 1:1 by weight solution of P3HT:PCBM. Solar cell fabrication, UV-Vis and PL measurements were all performed as described in Chapters 3 and 4. No LiF layer was used for the solar cells reported here. 92 CHAPTER 6: NANOPARTICLE ASSEMBLY IN THIN POLYMER FILMS 6.1 Introduction Most of this dissertation has focused on describing and characterizing polymer based solar cells, but a great deal of initial work focused on characterizing inorganic nanoparticle assembly in thin films. One of the initial goals of this project was to developed methods to control nanoparticle location within polymer based solar cells, but we quickly discovered a more thorough characterization of the internal nanoparticle dispersion was needed before any type of control could be applied. This chapter discusses the work done on assembling inorganic nanoparticles in amorphous polymers and extends somewhat into P3HT:PCBM systems. Polymer coatings are ubiquitous in society. Used in paints, adhesives, antireflective coatings, electronic applications and a variety of other forms, polymer coatings have been around since the development of synthetic polymers in the 19305. As the development of nanotechnology has grown so has research into thin polymer films, that is, films around 10 to 100 nm in thickness. Films with such small thicknesses can . . . . . 101 have umque properties for research or commercral applications such as, sensors, . . 102 . . . . 103 . photovoltalcs,3 transrstors, light emitting diodes and a host of others. While many of the benefits of bulk polymer coatings are retained in thin film applications, the thin films have the added benefits of being lighter, cheaper and often times, being optical . 104 active. As a demonstration of the uniqueness of thin films on a basic level, films with thicknesses smaller than the wavelength of light appear to be different colors depending 93 on their thickness. For example, a 1 nm thick layer of silicon dioxide (SiOz) grown on a silicon (Si) wafer is essentially transparent but a 100 nm thick layer of SiOz appears reddish-purple. Similarly, polystyrene films show a color change as they increase in thickness going from transparent to gold to light blue. An equivalent demonstration of doubling or tripling the thickness of a coating, say red paint, does nothing to alter its color because its thickness is much greater than the wavelength of light. 6.2 Background 6.2.2 Dewetting Inhibition One of the most important considerations of thin films, specifically polymers, is their ability to wet a substrate. To not dewet a substrate upon deposition or after annealing, a polymer film must have a lower total energy than the substrate upon which it is deposited. When using high energy surfaces such as metals dewetting is not a problem, but lower energy substrates such as glass or polymers can cause dewetting depending on the energies of the system. Additionally, surfaces with protrusions or larger particles (ie: very rough surfaces) are much more likely to cause a deposited polymer layer to dewet than a smooth surface. Dewetting occurs for two reasons; a defect, such as a large dust particle, acts as a nucleation site or thermal fluctuations in a film allow a nanosized hole to reach the substrate begins the dewetting process. A film will only dewet from a surface if the substrate supporting the film has a lower energy than the film itself. This is described by Young’s equation 94 7 -7 Cos 6 = ——5" 5" (6.1) 71.11 where 0 is the angle between a drop of liquid and its supporting surface and 'ygv, 731, and YLV are the interfacial surface tensions between the substrate and vapor, the substrate and liquid and the liquid and vapor, respectively. In a controlled setting most of the above variables can be known quite accurately and surface energies can be calculated. A large body of work has been developed showing many types of nanoparticles”- 33’ 101 and dendrimers105 added to polymer films inhibit dewetting. Krishnan et al. showed the addition of one monolayer of cadmium selenide (CdSe) nanoparticles32 or 9 cross linked polystyrene nanoparticles3 33 inhibit dewetting of polystyrene on a Silanized substrate after thermal annealing. Similarly, Holmes et al. showed dewetting inhibition with C60101 after solvent annealing for many hours. The majority of these works showed that dewetting was completely inhibited only when the equivalent of a full monolayer or more of nanoparticles were added to a film. Figure 6.1 is a compilation of time resolved optical micrographs of thermally annealing a 75 nm thick film of 115 kDa polystyrene (PS) spin coated on a Silanized silicon wafer. The large pictures are a pure PS film being annealed at 170°C, well above the Tg of PS (Tg = 104°C) and each inset is an identical PS film with one monolayer equivalent of 60 kDa intramolecularly crosslinked PS nanoparticles dispersed within.106 95 Details describing the silanization process and dewetting experiment are explained in the Experimental Section. As can be seen in Figure 6.1, thermal annealing induces a dewetting of the film from the Silanized surface, which compares well with reports in the literature mentioned above. The Silanized surface has a surface energy of 28 mJ/m2 89 whereas the PS surface energy is about 36 to 42 mJ/m2,1°7’ ‘08 and hence the higher energy film dewets upon annealing. Figure 6.1: Time resolved optical micrographs (a-f) of thermal annealing a 75 nm thick film of pure 115 kDa PS on a silicon wafer Silanized with Sigmacote ®. The large pictures show the onset and continued dewetting of the PS fihn over the course of 50 minutes and the insets show a similar 75 nm thick film of PS with 1 monolayer equivalent 60 kDa PS nanoparticles dispersed within, which completely inhibit dewetting. 96 6.2.3 Nanoparticle Interfacial Assembly To explain why nanoparticles inhibit dewetting, neutron reflectivity was used to investigate the location of the nanoparticles within the thin films. Krishnan et al. showed that upon spin coating a layer of deuterated polystyrene with cross linked polystyrene nanoparticles the polymer and nanoparticles were equally distributed throughout the thin 31, 33 m. fil Thermal annealing, however, caused all the PS nanoparticles to assemble at the substrate of the film. As both components of this system are polystyrene there is essentially no heat of mixing between the two components so that entropy is the only driving force acting on the system. By assembling at the substrate the PS nanoparticles lower the overall system entropy by maximizing the degrees of freedom of polymer motion.32 Neutron reflectivity work by Yaklin et al.89 showed that C60 will assemble at the substrate directly after spin coating.89 This assembly is attributed to the extremely low solubility of C60 in toluene, the spin coating solvent for this work, and that the C60 crash out of the film as the solvent evaporates. Despite the difference in assembly forces attributed to both systems, each system inhibited dewetting equally due to the ‘carpet’ of nanoparticles assembled on the substrate. Each work discussed above showed dewetting is severely inhibited once a monolayer of nanoparticles covers the substrate surface. An estimate of the coverage of nanoparticles at the substrate is 6 = (7a) (15 (6.2) 97 where 0 is the fractional surface coverage of the nanoparticles, h is the height of the film, a is the particle radius and (1) is the bulk volume fraction of nanoparticles. As thermal fluctuations occur within the film the polymer can never fully expose the low energy substrate due to the presence of the nanoparticle layer. Since the nanoparticles form a monolayer that completely covers the substrate they are in a jammed state preventing separation. The nanoparticle assembly force is so large it will prevent dewetting of polystyrene on a very low energy surface for days and even weeks of being held well above its glass transition temperature (Tg).3 1 Further work was carried out by Krishnan et al. with the assembly of cadmium selenide (CdSe) nanoparticles. As mentioned above, CdSe nanoparticles will prevent dewetting and, unlike the carbon based nanoparticles of PS and C60, have a very large Z contrast with PS. Transmission electron microscopy (TEM) images of thin films of PS and CdSe nanoparticles showed the CdSe were actually assembling at the air interface of the films instead of the substrate.32 This assembly can be described by considering the Hamaker constant (A) for a trilayer system consisiting of three components; air (1), PS (2) and CdSe particles (3). Using refractive index, the dominant term in the trilayer Hamaker constant, the overall sign can be determined and hence the projected assembly. Using the equation, A132~I7li " 77%le175 — ’75] (6-3) 98 where 77,; is the refractive index of the individual components 1, 2 and 3. Using values of 1.0, 1.59 and 1.54 for air, polystyrene and the CdSe particles, respectively, a negative value is found for an ordering of A] 32, which is air, CdSe, PS. The CdSe particles used in this study were coated with oleic acid, a solublizing agent roughly 2.5 nm long when fully extended. To calculate the particle’s total refractive index a volumetric average was performed with the 2 nm CdSe (n = 2.8) core and 2.2 nm shell (71 = 1.4) giving a total particle refractive index of n = 1.54. This assembly, as was demonstrated by Krishnan et al., can be used to make multilayered films by assembling the nanoparticles at the air interface of a polymer layer, crosslinking the polymer and repeating the procedure. The situation studied by Krishnan was unique in that the oleic acid coated CdSe particles (o-CdSe), due mainly to the large volume of the particle taken up by the low refractive index layer, had a lower refractive index then PS, which has a relatively high refractive index for a polymer. According to the trilayer assembly theory, a particle will assembly at the substrate provided its refractive index is greater than that of the polymer film. Further investigation into this phenomenon was accomplished using three methods; changing the substrate material, using a higher refractive index particle dispersed in a PS film and a using lower refractive index polymer film with the same o-CdSe particles. 99 6.3 Results and Discussions 6.3.1 Effect of Changing Substrate As an alternative substrate to a silicon a PET substrate was used. When considering the assembly of nanoparticles in films using the Hamaker constant approximation a trilayer system is used that takes into account the polymer, the nanoparticle and the air but the substrate is ignored. All of the cases studied by Krishnan used an SiOz, which has a refractive index of n = 1.46. This is lower than the two components, PS and o-CdSe, but no o-CdSe particles are seen migrating to the substrate to shield the PS from the Si02 indicating that neglecting the substrate is an acceptable assumption. Further investigation into the substrate was performed by using a PET substrate. PET has a refractive index of 1.58, which is between that of PS and o-CdSe and a good comparison to SiOz substrate. Figure 6.2 is a transmission electron microscope (TEM) image of crosslinkable PS and o-CdSe nanoparticles spin coated onto PET, crosslinked and repeated. As can be seen in the image, the expected assembly occurs with the nanoparticles migrating to the air interface in each of the two layers. 100 Figure 6.2: TEM image of a four layer system of polystyrene and o-CdSe nanoparticles on a PET substrate created in two spin coats. A mixture of 140 kDa crosslinkable PS with nanoparticles was spin coated onto a PET substrate, annealed at 170°C for 12 hours, cross linked at 220°C for 20 minutes and repeated. 6.3.2 Assembly of Higher Refractive Index Nanoparticles To investigate the assembly of a higher refractive index particle a CdSe nanoparticle with a pyridine coating was used. Because pyridine is a very small molecule, roughly 0.5 nm in length, the majority of the particle is high refractive index CdSe. A 2.0 nm CdSe core coated with pyridine (p-CdSe) has a refractive index of n = 2.2, creating a negative Hamaker constant for the assembly of air, PS, p-CdSe. TEM 101 investigations into this assembly show exactly what the theory predicts, an assembly of p-CdSe particles at the substrate. Figure 6.3a is a TEM image of system consisting of p-CdSe nanoparticles assembled at the substrate covered by a layer of crosslinkable PS and a repeat coating on top. Some p-CdSe are trapped between the layers due mainly to the speed at which the polystyrene was crosslinked. Figure 6.3: Cross sectional TEM images of polystyrene fihns with pyridine coated cadmium selenide nanoparticles dispersed within. (a) A four layer system of PS and p- CdSe nanoparticles created by spin coating the PS/p-CdSe mixture, annealing the film followed by cross-linking the polymer and then repeating the process. (b) Cross sectional image of the PS/p-CdSe film directly after spin coating. Because the pyridine molecule is so small and is less soluble than oleic acid in toluene, the solvent used here, a larger amount of nanoparticle agglomeration can occur either in solution or upon deposition. As the particles agglomerate into clusters their effective diffusivity is lowered, requiring more time to migrate to the substrate upon thermal annealing. Figure 6.3b is a cross sectional image of a film before cross-linking 102 the PS. Some agglomerates can be seen but the particles are fairly well dispersed thoughout the thin film. Figure 6.4: Cross sectional images of oleic acid coated CdSe nanoparticles assembled at the substrate of thin PMMA films. Due to the difference in refractive index of PMMA from PS the o-CdSe particles assemble at the substrate compared to the air interface as shown in previous work”. The assembly is very robust and occurs in (a) thin films less than 100 nm, and (b) fihns approaching 400 nm in thickness. Investigation into the assembly of o-CdSe in a lower refractive index was performed with poly (methylmethacrylate) (PMMA), which has a refractive index of 1.49. A negative Hamaker constant, indicating a driving force towards assembly, is found when the particles order as air (n = l), PMMA (n = 1.49), o-CdSe (n = 1.54). TEM images, shown in Figures 6.4a and 6.4b, show this assembly does indeed occur. A thin layer of o-CdSe particles can be seen at the substrate of the PMMA film with virtually no particles trapped within. The assembly is robust and complete in films less than 100 nm, 103 Figure 6.43, and approaching 400 nm, Figure 6.4b, indicating a relatively large length scale over which this assembly occurs. This technique can be further applied to assemble multiple particles in one film. As shown in Figure 6.5, both p-CdSe and o-CdSe particles assemble at their respective interfaces of a PS thin film; o-CdSe at the air and p-CdSe at the substrate. By merely changing the stabilizing ligand attached to the nanoparticle core it is possible to assemble these particles at either interface of a film. For a functional nanoparticle, such as the quantum dots used here, interfacial assembly can be extremely beneficial in aligning energy levels of different electrically active materials for use in photovoltaics, light emitting diodes or transistors. Figure 6.5: A thin fihn of polystyrene with both o-CdSe and p-CdSe nanoparticles dispersed within. After annealing above the glass transition temperature of PS the o- CdSe particles migrate to the air interface while the p-CdSe particles migrate to the substrate. To the left and right of the TEM image are representations of the CdSe particles with their respective stabilizing ligands. 104 6.3.3 Nanoparticle assembly in P3HT With the hopes of assembling functional nanoparticles at the interfaces of electrically active polymer devices, specifically polymer based solar cells, both p-CdSe and o—CdSe nanoparticles were dispersed in poly (3-hexylthiophene) (P3HT), a common polymer in polymer based solar cells. Many difficulties were encountered in these experiments dealing mainly with the crystallinity of P3HT. All previous experiments in thin film assembly were performed with either PS or PMMA. Both are glassy polymers that easily dissolve in organic solvents, both have a Tg well below their respective decomposition temperature and both can be purchased with very low polydispersity indices (PDI) at a variety of molecular weights (MW). P3HT is not as ideal. The best P3HT commercially available at the time of this thesis had a PDI of about 2.5 with a molecular weight average of about 35,000 kg/mol. While the Tg of P3HT, Figure 6.6, is relatively low, about 72°C, it is highly crystalline with a melting point very near its degradation point, about 213°C. As P3HT is highly crystalline any nanoparticle assembly in a P3HT film would require melting the polymer. As can be seen in the comparison of the TGA and DSC, Figure 6.6, the onset of P3HT degradation occurs just as the crystallites begin to melt. With decomposition occurring right as the polymer melts, assembling nanoparticles within a P3HT matrix for the purpose of device applications, at least using thermal methods, will most likely produce inactive devices. 105 100.0 I l I I _ 00 l’. ' s‘ I 3*”: 99.9 — ‘s : q -01 H I r: I 8 i g; I— I a-o- til.) 99 8 - 3 4—0 0 g, E g 99.7 a , — 080 of P3HT (right axis) l ---- TGA of P3HT (left axis) : 996 l l l l 50 100 150 200 Temperature (C) Figure 6.6: Plot of thermal gravimetric analysis (left axis) and differential scanning calorimitry (right axis) of pure P3HT. The onset of melting and degredation are almost identical at about 200°C (horizontal dashed line) indicating thermally processing P3 HT for assembling nanoparticles may not be feasible. Despite the degradation occurring at the melting point of P3HT, some work was performed on these films to investigate if nanoparticle assembly would even occur within thin films of the melted polymer. Obtaining high quality, or any, cross sectional TEM images of P3HT fihns with or without nanoparticles proved extremely difficult. The method for obtaining these images, described fully in the Experimental Section of this chapter, rarely produced any images and many were of very poor or broken films. These difficulties most likely resulted from the P3HT being highly crystalline and forming some 106 type of bond between itself and the substrate making removal of the film from the substrate very difficult. A focused ion beam (FIB) would be ideal for cutting thin film sections and obtaining cross sectional images of these films, but no FIB was available at either Michigan State University or the University of Delaware. The main reason for showing the images below is to describe preliminary work performed on the nanoparticle assembly within P3HT and offer a basis for possible future work for other graduate students. Figure 6.7a is a cross sectional TEM image of P3HT with p-CdSe nanoparticles directly after spin coating. All of the p-CdSe nanoparticles are seen to assemble at the air interface, identified by the gold layer sputtered on top for viewing. P3HT has a higher refractive index than most polymers so the assembly of the particles, which have a refractive index of about 2.2, at the air interface is not entirely surprising. What is surprising is that the particles assembled at the interface without any annealing. In this experiment the P3HT film was spin coated from chlorobenzene at 2500 RPMs. The slower speed and higher boiling point chlorobenzene caused the film to dry much more slowly than films spun from toluene at higher RPMS, allowing the particles a chance to assemble before the film was completely dry. This is similar to solvent annealing the film in the manner described by Yaklin et al.89 except the fihn here was allowed to dry slowly after spin coating as opposed to being placed in a solvent atmosphere. Attempts to follow the solvent annealing method from Yaklin et a1. proved very difficult as the completely dry P3HT films seemed to uptake no solvent even after days of exposure to atmospheres of toluene, chlorobenzene and chloroform. Seemingly, the crystalline nature 107 of the P3HT prevents solvent uptake from a saturated atmosphere, even when the solvent vapor fraction was increased through heating. Figure 6.7: Cross sectional TEM images of films of (a) pure P3HT with dispersed p- CdSe particles assembling on the top of the film and (b) a solar cell mimic film consisting of a 1:1 by weight mixture of P3HT and PCBM with a small volume fraction of p-CdSe particles dispersed within. Upon heating to 250°C in a nitrogen environment the CdSe particles assemble into the middle of the film, presumably on top of a layer of PCBM that has assembled at the substrate and extends upwards to roughly the middle of the film based on the volume fiaction of PCBM added. Figure 6.7b shows a cross section of a film of P3HT, p—CdSe nanoparticles and the fullerene derivative [6,6]-phenyl-C51-butyric acid methyl ester (PCBM), essentially a polymer based solar cell mimic. Due to difficulties in obtaining these pictures, an image of the as cast film was unable to be obtained. The film was heated to 250°C, well over its melting point, in a nitrogen environment. Quite surprisingly, the CdSe particles assemble almost directly in the middle of the fihn. Before discussing possible reasons for the 108 assembly of CdSe in the middle of the film it must be noted that heating P3HT above its melting point most likely causes some type of degradation. This degradation cannot be fully accounted for from the study performed here, but, as can be seen from the image, a stable film is still maintained. As mentioned above, the film is a polymer based solar cell mimic and as such, the ratio of P3HT and PCBM in the film is 1:1 by weight (47% by volume PCBM), with a small volume fraction of p-CdSe particles. We hypothesize that as the film is spin coated the p-CdSe particles assemble at the air interface, as in the pure P3HT sample. After heating to 2500C, however, the pyridine layer coating the CdSe core is removed, leaving behind only the high refractive index core. TGA results show the pyridine layer begins to be removed from the CdSe core at 150°C, annealing at 250°C will certainly remove all attached pyridine. With a refractive index of 5.8 the pure CdSe particles will migrate to the substrate, as dictated by the Hamaker constant ordering. However, the PCBM, which cannot be distinguished from P3HT in TEM images, seems to have formed a layer comprising the bottom half of the film forcing the CdSe particles to assemble on top. Thus, the actual ordering of the film, after annealing at 250°C is air, P3HT, CdSe, PCBM, substrate. The results presented in Chapter 3 on the location of PCBM in this films are a good verification of this hypothesis. Another possible explanation of this assembly could be that the P3HT degrades to a point where its refractive index is lower than the p-CdSe particles, forcing the particles downward into the film. Regardless of the actual driving force for the CdSe particles, a PCBM layer present at the bottom of the film is highly likely and most likely the case for CdSe assembly in the middle of the film. 109 On a related note, much of the initial discussion in this chapter dealt with dewetting of polymers but there is no real mention of dewetting work done on P3HT. This is because P3HT would not dewet silicon, Si02 or Silanized substrates. Presumably, the high crystallinity of P3HT forms such a strong network that thermal fluctuations are not energetic enough to penetrate the crystalline network and exposed the lower energy surface. Additionally, while P3HT has a relatively high energy backbone consisting of repeat units with sulfur atoms, it also has extremely low energy hexyl side chains. The presence of the low energy side chains, depending on their orientation within the thin film, could be enough to offset the high energy backbone and allow the P3HT film to remain stable on a low energy substrate. 6.4 Conclusions Polymer thin films have many potential commercial applications, especially if the location of functional nanoparticles added to the films can be controlled. Control over the assembly of functional particles such as CdSe in glassy polymers such as PS and PMMA can be achieved through modification of the surface stabilizing ligand. Modification of this ligand changes the effective refractive index and determines the interface of the fihn where the particle will assemble. Assembling nanoparticles in crystalline polymers such as P3HT is also seemingly feasible given higher boiling point solvents and using a modified solvent annealing approach. One of the major difficulties in assembling nanoparticles within conjugated polymer films seems to be determining the location of all particles through either TEM or 110 other methods. Because of the difficulties in preparing samples for TEM, other methods such as reflectivity and ellipsometry may be more suitable for such characterization. 6.5 Experimental 6.5.1 Dewetting Experiments Dewetting experiments were performed by floating polystyrene films onto either Silanized silicon wafers or PET substrates. Polystyrene films were made by mixing 115 kDa PS (Polymer Source) with toluene and placing the solution on a rocking mixer for 24 hours. Refer to Appendix A for concentration versus thickness curves. For solutions with nanoparticles, 60 kDa intramolecularly crosslinked PS nanoparticles were added to the overall solution in a volumetric ratio that would provide one monolayer of surface coverage of the nanoparticles. A cleaved mica surface (Ted Pella) was flooded with the polystyrene solution and spin coated for 60 seconds at 5000 RPMS. After spin coating the films were floated off into water and picked up by a Silanized silicon wafer. Silanization was performed using the commercially available silanizing agent Sigmacote ® (Sigma Aldrich) according to the manufacturer’s specifications. Briefly, a roughly 1x1 cm2 silicon wafer (wafers were purchased as 100 mm diameter wafers from Wafer World and cleaved to size using a razor blade) was flooded with Sigmacote ® solution. After 30 seconds of exposure the solution was washed with hexanes and dried under nitrogen. After floating the PS films onto the Silanized wafers the film and substrates were placed in a 40°C vacuum oven for 24 hours to remove any residual water. 111 The substrates were then placed in a hot stage under an optical microscope, heated to 170°C and images were taken at predetermined intervals. All dewetting experiments performed on PET substrates were prepared exactly the same as those performed on wafers except no silanization was needed. 6.5.2 Transmission Electron Microscopy Films prepared for cross sectional microscopy images were prepared in the same way as the dewetting experiments with the appropriate polymers and nanoparticles added. Specifications and sources for all of the materials are as followed: Crosslinkable PS was synthesized by Craig Hawker’s group at UCSB, 60 kDa PMMA (Polymer Source), PCBM (Nano-C), 35 kDa P3HT (Rieke Metals) and the o-CdSe and p-CdSe nanoparticles were synthesized by Dr. Michael Wong’s group at Rice University. All cross sectional images obtained using PS or PMMA were created by first spin coating at 5000 RPMS for one minute a solution of polymer and nanoparticle dispersed in toluene onto a silicon wafer with a 100 nm oxide layer grown on top. After casting the films were annealed well above the polymers respective Tg (generally 170°C) and then crosslinked at 220°C when applicable. For the multilayered films a second coating of polymer and nanoparticle was added on top and the process repeated. After all coatings and annealings the SiOz wafers were placed into a small vial containing 8% hydrofluoric acid, which etches away the SiOz and leaves the film suspended above the Si substrate. After etching a gold layer of about 30 nm was sputtered onto each film, which acts as a 112 marker to find and view the thin film. Without the gold layer the films would be virtually impossible to find. Once the gold has been sputtered Polybed 812 embedding resin is dropped onto the films and cured in a 60°C oven for 24 hours. The resin coated substrates are then dropped into liquid nitrogen, which cracks the fihn and removes the resin from the Si wafer. Generally, but not always, the film adheres to the-resin and is removed from the wafer. The thin strip of film containing resin is then cut into small pieces and placed into embedding blocks for microtoming, covered again with Polybed 812 and cured for -24 hours. Once the blocks are cured the films were microtomed using a diamond knife on an RMC Ultrarnicrotome into sections roughly 80 nm thick, floated onto copper grids and viewed with a J EOL 1000 TEM at an accelerating voltage of 100 keV. Cross sections of P3HT containing films were prepared slightly different as the HF etch destroyed the P3HT films. Instead of spin coating on an SiOz coated Si wafer the P3HT containing films were spin coated onto Si wafers coated with poly(ethylene dioxythiophene) polystyrene sulfonate (PEDOT:PSS), a water soluble macromolecular salt used as a hole conduction layer in organic solar cells and organic light emitting diodes. After spin coating onto the PEDOT:PSS layers the films were floated off into water and picked up with pieces of cured Polybed 812. The resin and films were then dried in a 40°C vacuum oven overnight before a gold layer was sputtered on top. The resin pieces were then cut and placed into embedding blocks and the procedure described above was followed for viewing the samples. 113 6.5.3 Thermal Analysis All differential scanning calorimetry was performed with a TA instruments Q1000 modulated DSC and all thermal gravimetric analysis was performed with a TA instruments Q5 00. 6.5.4 Atomic Force Microscopy All Atomic Force Microscopy was performed with a Pacific Nanotech Nano R AFM in close contact mode with silicon tips. 114 CHAPTER 7: CONCLUSIONS Polymer solar cells are a possible source for inexpensive renewable energy, but their performance is dictated by structures on the nanscale. For the field of polymer solar cells and organic electronics as a whole to push forward, high quality analysis of the internal structure of these thin films is very important. In this work we have shown that neutron scattering is a robust and important tool for studying polymer based solar cells. Neutron reflectometry, through the use of phase sensitive neutron reflectivity, is a highly sensitive measurement technique that has aided in successfully mapping the vertical PCBM composition of P3HT:PCBM solar cells. We have found that after spin coating there is a high concentration of PCBM at the substrate, and high concentration of PCBM near but not at the metal electrode interface. PCBM at the substrate of a device is highly undesirable as it prevents holes from leaving the device. Upon thermal annealing the PCBM migrates towards the metal electrode, creating more efficient pathways for electrons to leave the device. Small angle neutron scattering (SANS) has shown that PCBM agglomerates into clusters spread through the active layer upon thermal annealing. These clusters form better charge transport networks allowing for more efficient electron harvesting but also create more space between PCBM molecules. This increased spacing reduces the chance a photogenerated exciton will find a dissociation point and increases photoluminescence. The SANS data presented here explained this phenomenon of increased photoluminescence with an increase in device performance. 115 In addition to characterizing these devices more accurately, we have created nanorough surfaces that enhance the performance of these solar cells. The rough surfaces increase contact area between the PEDOT:PSS layer and the active layer allowing for a greater amount of charge transport. The Si02 particles that create the rough surfaces act as light scatterers and slightly increase device absorption. 7.1 Future Work Clearly there is still much need to further characterize these solar cells. We have a basic understanding of the vertical profile of PCBM in a device, but the devices tested in this work were based on a system that provided a quality sample for neutron reflectivity, not a sample that provided the best performing solar cell. More work is needed to correlate the highest performing devices with internal morphology. Phase sensitive neutron reflectivity could be used to study these devices but much smaller samples and therefore longer count times would be needed to do this. The formation of clusters within these devices can also be further studied through SANS and these tests are independent of film roughness; hence any device can be tested in SANS. The devices fabricated on nanorough surfaces require more extensive characterization as a full understanding of why they improve has not been developed. We currently theorize that the P3HT is aligned more vertically in the device and therefore provides more efficient charge transport, but this is a difficult aspect to study due to the roughness of the film. 116 Additionally, it is clear a P3HT based device will not be commercialized because it cannot achieve a high enough efficiency to be cost effective. New polymers are being developed that produce higher efficiency cells and these devices need to be characterized. 117 APPENDIX A: HOW TO MAKE POLYMER BASED SOLAR CELLS Polymer solar cells are not too difficult to make but require care in terms of cleaning and timing to get a good and reproducible device. Depending on fabrication procedures, typical devices can be made in 4-6 hours depending on the pump down time of the evaporator and provided patterened slides are ready and solution is made. Over half a day is needed for patterning and at least two days, preferably three, of stirring/dissolving are needed for solution preparation. A.l Patterned Slide Preperation Polymer based solar cells have very low conductivities and, therefore, must be fabricated using a transparent electrode for the top contact. Inorganic solar cells have high conductivities allowing photoinduced charge carriers to travel long distances to small electrodes, or busbars, on the top of the cell. All polymer based cells are fabricated starting from the top of the cell, the part where light passes though first, and built ‘downward’ to the bottom of the cell. All cells used in this work were created on 1” glass slides coated with indium tin oxide (ITO). All slides used in this work were purchased from Delta Technologies (delta-technologies.com), although other suppliers exist, and varied in resistivity from 8-15 ohms/cmz. Contacting devices properly requires a patterned ITO slide, which can be accomplished by some form of masking and etching. ITO is etched rather easily by a solution consisting of a 60:40 volumetric ratio of hydrochloric acid (HCl) in water at 60°C. Immersion of ITO coated glass into this solution for 60 seconds will completely 118 etch away any exposed ITO. An easy way to remember this recipe is 60:60:60. That is, 60% HCl heated to 60°C and an immersion time of 60 seconds. The most common and precise method to perform this etch is to use photolithography, a method used in the semiconductor industry for etching oxides and other coatings to achieve very precise patterns and small length scales. A full description of how to use photolithography for etching ITO is described below, which is the method used to make roughly half of the patterned slides used in this thesis. However, as precise features are not required to make these devices, an easier method to patterning is to simply cover the areas of the slide with transparent tape, such as Scotch® brand tape, and to etch the slides in HCl as described above. Using Scotch® tape as the mask for etching is much faster and still produces slides of decent quality. Residual adhesive left over from the tape after the etch can be removed easily with a solvent. Methylethylketone (MEK) works very well, and then the cleaning procedure described below can be followed. The main design used in this work allowed for 4 devices to be fabricated on one slide with a total cell area of approximately 0.2 cm2. Photolithography is accomplished in 7 steps: 1) Photoresist application The photoresist used here was S1818 from Rhom and Hass, which is a positive photoresist. A positive photoresist will break down upon exposure to UV light and be easily washed away. An ITO coated slide is placed on a vacuum chuck of 119 2) 3) a spin coater and a drop of photoresist is placed on top. The photoresist does not need to cover the entire slide before spinning. Slides are spun at 2000 RPM for 15 seconds, which creates a film that is on the order of microns thick. Pre—bake Once all slides have been coated with photoresist they are placed in an oven at about 90°C and baked for about 20 minutes. The temperature and time are approximate as this bake is used only to remove residual solvent from the photoresist. UV-exposure After the pre—bake all slides are placed under a photolithographic mask and exposed to UV light for 20 seconds. UV light breaks down the photoresist and allows it to be washed away with a developer solution. Exposed areas of the slides will have the photoresist removed and areas covered by the mask will retain the photoresist. The photoresist used for most of the work here was created by printing multiple copies of a transparency with the desired pattern and then gluing them on top of each other. Figure A1 below is a picture of the mask used that accommodates 4 slides and the pattern of ITO it creates. The dotted line in the upper left hadn comer of the mask shows where one slide would sit. 120 ,- I I Fl."1 war __.I Figure A1: A cartoon of the mask used to make the majority of the devices used in this work and the associated ITO pattern it eventually creates. The dashed square is the outline of a slide the mask will cover. 4) 5) Developing Once all the slides have been exposed to UV light, the irradiated photoresist needs to be washed away to expose the ITO to be etched. This is done by placing the slides in a solution of developer and water (3 parts developer to 1 part water) for about 1 minute. The total developer time depends on how much water is added but one can look at the slides and tell if they have been fully developed because the underlying pattern is exposed. Hard Bake Upon completion of developing, the slides are placed in an oven at 120°C for 60 minutes to completely bake the photoresist. This hard bake will prevent the photoresist from washing away during the etching procedure. 121 6) 7) 3) Etching Etching is the process of removing the exposed ITO from the glass to create a pattern. This is done by placing the slides in a solution of 60% HCl (40% H20) at 60°C for 60 seconds. Exposure for too long will begin to remove the ITO protected by the photoresist by etching under, but too short of an exposure will leave trace amounts of ITO on the glass, causing highly resistive pathways between different cells. Each slide must be measured with a voltage meter before the final step or the slide could be worthless. If a small amount of current can leak between etched components the slide must be placed in the etch for a longer time. Stripping The final step is to remove the remaining photoresist by placing the slides in a striping agent. Time spent in the stripper is not important provided all the photoresist is removed. A few minutes is suffice. Final Check All devices need to be checked after completion of the photolithography to see there are no connections between different contact areas of the cell. If a pathway exists from one ITO area to another it is most likely along the edge of the glass slide and be caused from slippage of the mask during UV exposure. This is very common. To fix this a glass scribe can be run across the connection until it is scratched through and no longer conductive. 122 A.2 Slide Cleaning Proper cleaning of the patterned slides is essential to making devices. Without clean surfaces the spin coated films will not be uniform and the charge carriers will encounter many barriers at the PEDOT:PSS / ITO interface. Only slides being used to make devices that day should be cleaned as cleaning and storing slides will not work. The devices should be sonicated first in acetone for 15 minutes and then in isopropanol for 15 minutes. Some groups first sonicate in soapy DI water, which was occasionally done in this work, but this requires a great amount of rinsing before the acetone cleaning. If the slides were not rinsed properly the soap would occasionally leave a small film on certain areas of a slide preventing good PEDOT:PSS contact. Hence, using soapy water as a pre- clean could cause as much harm as good. Additionally, the acetone and isopropanol could be reused many times before discarding. A.3 PEDOT:PSS Application PEDOT:PSS (poly(3,4-ethylenedioxythiophene:polystyrene sulfonate) is an electron blocking, or hole conducting, layer that covers the ITO electrode. This layer aids in preventing recombination. Once the slides are cleaned they should be briefly dried with nitrogen and the directly coated with PEDOT:PSS. The PEDOT:PSS used in this work was Clevios 4083P, medium conductivity grade and was stored in a refrigerator until use. The solution must be heated to room temperature before spin coating. All solutions were first diluted with water in a ration of 4 ml pure PEDOT:PSS stock solution to 1 ml of Millipore water. The solution was 123 deposited on the ITO slides from a 3 ml syringe while being filtered through a 200 nm Nylon filter. All slides were completely flooded with the PEDOT:PSS solution and the spin coated for 60 seconds at 3000 RPM and then a second coating was deposited through the syringe filter and again spun at the same conditions. Two coatings are spin coated to reduce the chance of having pin holes through the layer. This procedure results in a film of a roughly 25 nm thick layer of PEDOT:PSS. After spin coating a small, strip of the PEDOT:PSS film must be removed from the entire edge of the wafer, exposing the contact areas of the slides. This is done by wetting a cotton applicator and wiping the edges of each slide. After wiping off the edges of the slides they are all placed in an oven at 130°C and baked for 20 minutes. Then, a vacuum is pulled on the oven and the slides are baked for another 20 minutes under vacuum. Upon completion of baking they are removed, placed in holders and transferred directly to the glove box. Figure A2 is a cartoon of the PEDOT:PSS application process from the top and cross sectional views. I} I? l I l 7 L I Figure A2: Top down and cross sectional views of applying PEDOT:PSS onto patterned ITO slides and the subsequent removal of the layer from the edges to allow for good electrical contact during testing. 124 A.4 Active Layer Application Application of the active layer can have many variables from solution concentration, solvent choice, post fabrication annealing or drying or a number of other parameters. The most important aspect of active layer application is to be sure the solution composition is known and to allow the active layer to dry completely. When using high boiling point solvents, such as dichlorobenzene, many hours of vacuum may be needed to remove all the available solvent from the active layer. To make a solution, both polymer and nanoparticle can be weighed and placed in a vial outside the glove box. Once the appropriate amounts are added, the vials are returned to the glove box, with caps loose as to remove any oxygen during transfer, and the desired solvent is added. Anhydrous solvents should always be used and the solutions should be stirred for a sufficiently long time before spin coating. Solutions from cholorbenzene require at least 2 if not 3 days of stirring and solutions using dichlorobenzene need at least two days of stirring and heating up to 50°C. Heating all solutions may shorten total dissolution time but no work has been done in this thesis to determine the effects, if any, on how heating effects device performance. The most common concentration used in this work was a 30 mg/ml solution (15 mg polymer and 15 mg of PCBM to 1 ml of solvent), but many concentrations can be used depending on thickness and polymerznanoparticle ratio desired. Spin speeds from 500 RPM to 2500 RPM are common. Generally the lower spinning speeds produce more efficient devices and the higher spinning speeds produce flatter films that are desirable for a variety of characterization techniques, namely reflectivity. 125 Once the active layer has been created, the same wiping of the film from the contacts must be performed. This is done by wetting a cotton applicator in either chloroform or chlorobenzene and wiping in the same manner as was used with the PEDOT:PSS films. More care must be taken with these devices as they must be wiped inside the glove box and that can be difficult while wearing bulky gloves. Figure A3 is a cartoon of the active layer application process. up g, ...: I l "' .‘nifi‘r 'u-i'f - I'v‘mxtflfm _ l Z‘i'fii-infl '-. _ Figure A3: Top down and cross sectional views of applying the active layer onto patterned ITO slides with a PEDOT:PSS layer and the subsequent removal of the layer from the edges to allow for good electrical contact during testing. A.5 Electrode Deposition Once the active layer has been deposited, any post deposition annealing has been performed and the edges have been cleaned of any film, the slides are inserted into the thermal evaporator. Set-up is performed according to the manufactures instructions and whatever electrode is to be studied is evaporated onto the devices. A mask is chosen according to the ITO patterned onto the slides. For some devices used in this work an lithium fluoride layer about 1 nm was first evaporated and then an aluminum layer of about 80 nm followed. Other devices only had an aluminum layer. Due to the intense heat of the filament, a sufficiently large distance between the devices and filament is 126 desired and a relatively small rate is also desired. Most devices in this work used an aluminum deposition rate of approximately 0.2 nm/sec. The metal electrode covers part of one patterend ITO strip and extends outward to cover an patterened ITO island near the edge of the cell. This island is used because when a probe contacts the metal electrode extension it can still make a good contact even if the metal is scratched firlly away directly around the probe. Because the ITO is in direct contact with the metal, the probe only needs to touch the ITO and is therefore contacting the metal electrode. Figure A4 is a cartoon describing the placement of the metal electrode and the created fully active solar cells. L 2.). a" .3. 'l .‘ l is- _.. M- :3] Figure A4: Top down and cross sectional views of deposited electrode. The dashed squares indicate where the active area of the four solar cells created from this masking pattern. 127 at w» -> l l l l l I l l ITO Coated Patterned ITO Apply pEDor;p55 Remove Glass Slide Coated Glass Slide PEDOT:PSS _- . _ . g'; F .. g 1 .27..” -:--‘fi_=ir ED [1] ., _.§i - . --.- .. :4.» J _ gm] F . .. "I. , l l l l H Apply bottom Remove Apply active contact active layer layer Figure A5: Process map of the 6 steps (starting from clean ITO slides) needed to make a polymer based solar cell on glass slides using a transparent electrode, in this case indium tin oxide (ITO). 128 APPENDIX B: POLYMER FILM THICKNESSES Spin coating is an extremely popular laboratory scale method to create thin films of polymers. Although it is not industrially applicable for deposition of polymers, ink jet printing or a modified dip coating will be much more commercially applicable, its ease of use and ability to get extremely smooth films make it an excellent research tool. This purpose of this appendix is to provide plots of concentrations versus thickness for the various polymers at various spin coating speeds as a reference for future work. The majority of the following polymers were spin coated at a speed of 5000 RPMS fi'om toluene. If no solvent or spinning speed is noted,“ those are the values. Many different methods of determining film thicknesses was used including ellipsometry, AF M, X-ray reflectivity and neutron reflectivity. If no method for determining the height is mentioned, it was ellipsometry. Also, all substrates used in the following plots were Si wafers with a native oxide grown on top and in every case the oxide layer was accounted for to the best of the ability of the test. Error bars only appear on the P3HT plot because it was the only polymer where AF M was used to obtain height information, which is a noisy method for determining height. Because the error bars for ellipsometry and both reflectivity methods are much smaller than the symbols on the plots they do not appear. 129 B.l Polystyrene 30 —< . I - ; -' g - ‘ .. A — A E 25 - . ‘ on— E) : E e L 0‘ CI v 20— = _ A - .5 . ...; m 15 —~ 0 . l a E] - 4‘: o til C s 8 10— 0 amp ' t c A Toluene, 5000 RPM 0 A o Pyridine, 5000RPM 0 5L ‘ .an , El Toluene,5000 RPM_ 0938» o Toluene, 2000 RPM 0 G] . l . l r l . 0 40 80 120 160 Thickness (nm) Figure B1: Concentration versus height data for 75 kDa polystyrene. Both toluene and pyridine were used as solvents and spinning speeds were 2000 and 5000 RPMS. Closed symbols represent height data from ellipsometry and open symbols represent height data obtained from X—ray reflectivity. Both Erica Tseng and Wenluan Zhang aided in obtaining the PS height data. 130 B.2 Poly(methyl methacrylate) 16 I I 1 l l T + 72.6 kDa PMMA in Chlorobenzene + 49.2 kDa PMMA in Toluene 7 c 14 T + 72.6 kDa PMMA in Toluene ' _ E5 1 E v c: .S! 10" ‘ ...—a g c: 8- p a) ‘c’ o 6 - - C) 4 " . ; _ l J l l .i l 1O 15 20 25 30 35 Thickness (nm) Figure B2: Concentration versus height data of 72.6 kDa and 49.2 kDa poly(methyl methacrylate) in toluene and chlorobenzene. All films were spin coated at 5000 RPMS and all data is from ellipsometry. 131 B.3 Poly(3-hexyl thiophene) T I [+ P3HT in Chlorobezene .3 .5. .3 N I Concentration (mg/ml) 00 ES I l l I l l 5 10 15 20 25 30 Thickness (nm) Figure B3: Concentration versus height data of P3 HT in chlorobenzene spin coated at 5000 RPMS. Height data was obtained from scratching a film and measuring the step height of the scratch. 132 B.4 Poly(dimethyl siloxane) l l l 14 — +PDMS in Toluene _ E a, 12 —- 1 £5, .5 10 — — g 8 8 - ~ 0 S 0 6 — _ 4 l l l 10 20 30 4O 50 Thickness (nm) Figure B4: Concentration versus height of PDMS in toluene spin coated at 5000 RPMS. The PDMS used in this study was cross-linkable PDMS from Dow, Sylgard® 184, that can be cross-linked within 30 minutes at 600C. Height data was obtained from ellipsometry. 133 B.5 Polyisobutene F l l l 25 "" + Polyisobutene in toluene **** ‘ C E \o) 20 - a E v C _ _ .9 15 ...-o 02 1O - 1 0 8 o 5 _ ._ 0 I I I I 20 40 60 80 Thickness (nm) Figure B5: Concentration versus height of PIB in toluene spin coated at 5000 RPMS. The PIB used in this study was low molecular weight and the polymer was liquid at room temperature. Height data was obtained from ellipsometry. 134 APPENDIX C: IDEALITY FACTOR PLOTS C.l P3HT:PCBM device on a pure PEDOT:PSS substrate with no LiF between the Al and active layer. I I I I I I 15 — + Light —e— Dark 10 — a 5 — _ Current Density (mA/cmz) -0.4 0.0 0.4 0.8 Voltage (V) Figure Cl: J-V curve of a P3HT:PCBM device on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J -V curve at the open circuit voltage. 135 dJ/dV (mA cm2 I V) l l 6— 4— go -0 2" . -...o 9.. P- . 0.0 Voltage (V) Figure C2: dJ/dV versus V plot of a P3HT:PCBM device on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. 136 A = 1.6 A 0'10 _ R8 = 32 Q cm2 — < E N‘ 0.08 — _. E 0 Z a 0.06 — _ '2 > 0° 'C 0.04 — ° -+ A = 3.2 R3 = 18.6 :2 cm2 0.02 . - ' 0.0 0.5 1.0 1.5 2.0 .1-1 (cm2 / mA) Figure C3: dV/dJ versus J'l plot of a P3HT:PCBM device in the dark on pure PEDOT:PSS with no LiF layer between the active layer and aluminum electrode. 137 C.2 P3HT:PCBM device on a PEDOT:PSS substrate with 10 mglml SiOz particles dispersed within the PEDOT:PSS solution. 30 I T I I I l I I + Light : -e— dark NE . o 20 .- i h l E . v I g I w 10 -- I ~- C l 8 ' 2 ... Rs = 24 Q cm C . e l s o . - -------- - O u I I l -10 i . | . A . J -0.4 0.0 0.4 0.8 Voltage (V) Figure C4: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 10 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. 138 dJ/dV (mA / v cmz) -O.4 -0.2 0.0 0.2 0.4 Voltage (V) Figure C5: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 10 mglml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. 139 80x10‘3 1 I | I A = 1.4 _ 2 A so _ Rs — 22 0 cm < E "E Z 5 2 > '° 20 — — A = 3.6 R8 = 9 (2 cm2 0 l I l l 0.0 0.2 0.4 0.6 0.8 1.0 J" (cm2 I mA) Figure C6: dV/dJ versus J.1 plot of a P3HT:PCBM with 10 mg/ml of SiOz particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. 140 C.3 P3HT:PCBM device on a PEDOT:PSS substrate with 20 mglml SiOz particles dispersed within the PEDOT:PSS solution. I ' I . I ' I I + Light 40 — : -B— Dark NA I g I I E 30 : V I g 20 — I — a) I C I 8 I 10 — 2 q “E Rs = 15.6 0 cm g : 3 DE ------ — O I I -10 — . - I I l . l . I -0 4 0.0 0 4 0 8 Voltage (V) Figure C7: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 20 mg/ml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. 141 I Light I [3 Dark dJ/dV (mA / v cmz) Voltage (V) Figure C8: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 20 mg/ml of Si02 particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. 142 020 I I I I I I E 0.15 — \ N S 0.10 2 > B s W/ D '° .5— _ [:1 D A=2.6 f5] Rs = 6 Q cm2 0.00 I I I I I 0 1 2 3 4 5 6 7 .I'1 (cm2 / mA) \ — Figure C9: dV/dJ versus J.l plot of a P3HT:PCBM with 20 mg/ml of Si02 particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. 143 C.4 P3HT:PCBM device on a PEDOT:PSS substrate with 40 mglml SiOz particles dispersed within the PEDOT:PSS solution. 40 30 20 1O . D - - - - - - - - - - - - - - - - - - - - - - D Current Density (mA/cmz) -o.4 0.0 0.4 0.8 Voltage (V) Figure C10: J-V curve of a P3HT:PCBM device on PEDOT:PSS with 40 mg/ml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum electrode. The series resistance reported is taken from the slope of the J-V curve at the open circuit voltage. 144 A Light A A Dark 4 — .. M A 3 - ‘ _ dJ/dV (mA / v cm2) Voltage Figure C11: dJ/dV versus V plot of a P3HT:PCBM device on PEDOT:PSS with 40 mg/ml of SiOz particles dispersed within and no LiF layer between the active layer and aluminum electrode. The voltage dependence of the illuminated current shows that traditional methods to evaluate the device must be based on the dark curve, which has minimal dependence on the voltage. 145 0.040 I l l I 0.035 — A = 1-5 R8 = 9.6 Q cm 0.030 — 0.025 - 0.020 P dV/dJ (v cm2 / mA) 0.015 - A = 2.4 R5 = 7.6 Q cm2 7 0.005 J ' ' ' 0.0 0.2 0.4 0.6 0.8 0'1 (cm2 / mA) 0.010 Figure C12: dV/dJ versus J.1 plot of a P3HT:PCBM with 40 mglml of SiOz particles dispersed within the PEDOT:PSS and no LiF layer between the active layer and aluminum electrode. 146 10. 11. 12. 13. 14. 15. REFERENCES N. S. Lewis and D. G. 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