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F . 1 I, l_m.uaxm.zr ‘I ‘ , - I .I .'-‘..‘ '1 This is to certify that the dissertation entitled Cha/Lacte/bézaLéon and Eliza/titan Ema/Lg y L044 Spec/Unabcopy on Mill and NiMo Supwflwttéceb presented by Sami Hu/se/én Mahmood has been accepted towards fulfillment of the requirements for Ph.D. degree in PhyA&C/3> X14 6.... () Major Earofessor \ Date Septembe/L 9, 1986 MS U i: an Ajfirnum‘w Action/Equal Opportunity Institution 0-12771 MSU LIBRARIES .m— RETURNING MATERIALS: Place in book drop to remove this checkout from your record. FINES will be charged if book is returned after the date stamped below. CHARACTERIZATION AND ELECTRON ENERGY LOSS SPECTROSCOPY ON ' NIV AND NiMo SUPERLATTICES BY Sami Husein Mahmood A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Physics and Astronomy 1986 Au :9 nu. Ifllul ‘ . nus alv 3:54 ABSTRACT CHARACTERIZATION AND ELECTRON ENERGY LOSS SPECTROSCOPY ON NiV AND NiMo SUPERLATTICES By Sami Husein Mahmood NiV superlattices with periods (It) ranging from 15 to 803, and NiMo superlattices with 1\ from 1A to 1103 were studied using X-Ray Diffraction (XRD), Electron Diffraction (ED), Energy-Dispersive X-Ray (EDX) microanalysis, and Electron Energy Loss Spoectroscopy (EELS). Both of these systems have sharp superlattice-to-"amorphous" (S-A) transitions at about A-17K. Superlattices with A around the S-A boundary were found to have large local variations in the in-plane grain sizes. Except for ea few isolated regions, the chemical composition of the samples were found to be uniform. In samples prepared at Argonne National Laboratory (ANL), most places studied with EELS showed changes in the EELS spectrum with decreasing A . An observed growth in a plasmon peak at ‘10ev in both NiV and NiMo as A decreased down to 19A is attributed to excitation of interface plasmons. Consistent with this attribution, the peak height shrank in the "amorphous" samples. The width of this peak is consistent with the theory. The shift in this peak down to 9ev with decreasing A in NiMo is not understood. Three other effects are also not well understood, but appear to be related to the presence of sharp interfaces in the samples: (a) the Sami Husein Mahmood dominent peak at ~zuev remained fixed in energy, indepen- dent of .A, for NiMo superlattices, but shifted upward from 21ev to Zflev in Mill; charge transfer was ruled out as a possible explanation for this shift; (b) the sharp V 2p-93d "white lines" grew in intensity with decreasing 11 down to 19K, and then shrank again in the "amorphous" samples; (c) the Ni "white lines" remained constant in intensity independent of 1\. Samples prepared at Michigan State University (MSU) did not show similar changes in EELS spectra with A. Their difference in behavior is attributed to their different growth conditions, which apparently produced much less perfect interfaces than for the ANL samples. To my wife, Lisa, and to my family. iv ACKNOWLEDGMENTS I would like to thank my advisor, Professor Jack Bass, for his continuous guidance and support. I am thankful to Professors G. Bertsch, C. Foiles, S.D. Mahanti, and S. Solin for many helpful discussions, comments, and sugges- tions. The technical assistance of V. Shull in maintaining the FE-STEM was invaluable. Thanks are also due to Dr. I.K. Schuller and J. Slaughter for providing LHS with the samples. I am indebted to many of my colleagues, especial- 1y X.H. Qian for his help in x-ray studies and computer- related problems, and N. Kedarnath for continuously being a helpful friend. I wish to acknowledge the financial support.<3f the National Science Foundation in this work. Finally, I would like to express my gratitude to Yarmouk University for providing me with a full scholarship which helped me complete my studies and made this work possible. TABLE OF CONTENTS LIST OF TABLESOOOOOOOOOOOO.OOOOOOOOOOOOOOOOOOOOOOOOOOOOViii LIST OF FIGURESOOOOCOOOO0.0...00.0.0...OOOOOOOOOOOOOOOOOOIX CHAPTER ONE CHAPTER TWO CHAPTER THREE INTRODUCTIONOOOOOOOOOOO.0.00.00.00.000000001 1.1 Previous Work..........................2 1.1.1 Previous Work on Struc- tural Properties of NiV and NiMo Superlattices...........3 1.1.2 Previous Work on Optical Studies and EELS.................S 1.1.2.A Plasmon Structure in Simple Metals.........5 1.1.2.8 Plasmon and Core Excitations in Transition Metals........7 1.2 The Present Thesis...........,........1O 1.2.1 Characterization of the Samples.....................1O 1.2.2 Electron Energy Loss Spectroscopy (EELS).............12 THEORYOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO0.0.1“ 2.1 Collective Excitations of a Metal Foil............................1u 2.2 Interface Plasmons at Bi- metallic Junctions....................19 2.3 Collective Excitations in Metallic Superlattices................25 2.3.1 Collective and Surface Excitations in the Local Limit..25 2.3.1.A Collective Excitations..25 2.3.1.8 Surface Excitations.....29 2.3.2 Collective Excitations in the Non-local Limit..........32 SAMPLE PREPARATION AND CHARACTERIZATION...35 3.1 Sample Preparation....................3S vi 3.2 Structural Properties of Super- latticeSOOCOOOOOOOOOOIII...COO...0.0.037 3.2.1 8/28 X-Ray Diffraction (XRD)......................... 3.2.1.A One-Dimensional Diffraction Theory of Superlattices...... 3.2.1.8 Experimental Results and Analysis.......... 3.2.2 Electron Diffraction (ED)..... 3.2.2.A The Electron Diffrac- tion Camera and Bragg Reflection...... 3.2.2.8 Selected Area Diffrac- ' tion (SAD) and Micro- diffraction (MD)..... 3.3 Energy-Dispersive X-Ray (EDX) Microanalys1s...0.0.0.000...0... 3.3.1 Theoretical Background.... CHAPTER FOUR EXPERIMENTAL RESULTS AND ANALYSIS... Introduction.................... EELS of Pure Metals and Oxides.. EELS of NiV SUperlattices....... u.3.1 The Energy Range <100ev... u.3.2 The Energy Range >500ev... 51:: O LON-4 u.3.2.A V Core Edge at S13ev. u.3.2.8 Ni Core Edge at ~850ev.117 A.“ EELS of NiMo Superlattices in the Energy Range <100ev........... CHAPTER FIVE SUMMARY AND CONCLUSION................ APPENDIXA The FE-STEM.O0.0.0.0....OOOOOOOOOOOOOO... LIST OF REFERENCESOOOOOO00....OOOOOOOOOCIOOOOOOOOCOOO vii .037 ..37 ..uz ..50 ..51 ..53 ..66 ..69 o .80 ..80 ..81 ..92 o 092 .106 .110 .120 .128 .133 .1145 2.4 .1 .A . ~ «(a LIST OF TABLES Table Page 3.1 Fitting Parameters for Structure Factor Cal- culations of the Superlattices......................H2 3.2 The d-Spacing and the Miller Indices of the Ni Planes Responsible for the Observed Ref- lectionSOOO0.0.0.0....OOOOOOOOOOOOOOOOOOOIOOO00.000055 3.3 The Experimental d-Spacings of the NiV Super- lattice with 1A-19A, Along with the Indices and Calculated d-Spacings of NiV Lattice Planes that are Within 2% of the Observed Ones......59 ".1 NiV Samples Prepared at ANL........ ...... ...........93 viii 3.3 3.4 3.5 306 LIST OF FIGURES Cross-Sectional View of the Field Lines of the (a) Symmetric and (b) Anti-symmetric Surface Plasmon Modes in a Metallic Film............. Dispersion of the Symmetric (wi) and Anti- symmetric (w_) Surface Plasmons.............. Dispersion of the Interface Plasmon at a Bi—Mg JunctionOOOOOOIIOOOOO0.000000000000IIOO Schematic Diagram of an Infinite Superlattice. Dispersion of Interface and Surface Plas- mons in a Niv Superlattice................... Dispersion Relation of Bulk Plasmons in Metallic Superlattices....................... XRD Spectra and Structure Factor of ANL NiMo superlatticeSOOOO0.0.0.0....0.0...0.0... XRD Spectra and Structure Factor of ANL "iv superlatticeSOOOO00......OOOOOOOOOOOOOOOO XRD Spectra in Two Different Pieces of the ANL19xNiMosuperlatticeOOOOOOOOOOOOOOOOOOOO The Behavior of the Average d-spacing in NiMo superlatticeSOO0.0.0.0...OOOOOOOOOOOOOOO The Behavior of the Average d-spacing in Niv superlattices.-0.0.0.0...I.OOOOOOOOOOOOO. SAD of (a) Crystalline Ni, and (b) Amorphous Fezr FilmSOOOOIOOOOOO...OOOOOOOO0.00.0.0.0... MD oraCPYStalline N1 FilmOOIOOIOOOOOOOOOOOO SAD of ANL 19A NiV Superlattice.............. SAD in Three Different Regions of ANL 19A Niv superlattice......C...................... ix ...23 ...26 .0061 SAD in Three Different Regions of ANL 60A Niv superlatticel...OIIOOOOOOOOOOOOO0.0... SAD in Three different Regions of MSU 27A Niv superlatticeOCCO0....0................ SAD and MD in Two Different Regions of MSU 153N1V sampleoo00.00.000.000...0.0.0.0000 pr Spectrum in a Region of MSU 15A NiV sampleOOOOO...I......OOOOOOOOOOOOOOCOOIOO. Ni-to-V Thickness Ratio in ANL 19A NiV superlatticeOOOOOOOOOOOOOOIOOOOOOOOOOOC.O. Topology of a Measured Piece (89) of ANL 19A Niv superlattice....OOOCCCOOOOOOOOOOOO Ni-to-V Thickness Ratio in MSU 27A NiV superlatticeOOOOOOOOOOO...OOOOOOOOOOOOO0.0 Mo-to-Ni Thickness Ratio in MSU 22A NiMo superlatticeOOOOOOOO...OOOIOOOOOOOOOOOOOOO Dielectric Function, Loss Function, and EELS 0f AIOOOOOOOOOOOOOOOOOOO..00....0.0.0 Dielectric Function, Loss Function, and EELS Of Mo....OOIOOOOOIOOOOOOOOOO0.0.00.00 Loss Function and EELS of V................... Contaminated and Uncontaminated V EELS Spectra. Loss Function and EELS of Ni.............. EELS of ANL 19A NiV Superlattice and NiV pseudo-.allOYOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO EELS Of ANL NiV sampleSOQoooooooooooooooco 8F Image of a Nonuniform Region of MSU 27A Niv superlattice....OCCCCCOOOOO00.0.0.0... EELS of MSU NiV Samples................... Schematic Diagram of L2’3 Core Excitations in a Transition Metal..................... 112,3ExaltationSOfVooooooooooooooooooooo Intensities of the V WLs in NiV Samples... X .062 ..68 O .7” ..78 ..82 ..85 .087 ..95 ..97 .103 .105 L2’3 EXCitationS Of NiIOOOOOOOOOOOOOOOOOOO EELS of ANL NiMo Samples.................. The Principle of the FE-STEM.............. Schematic Diagram of the Electron Optical COlumn in the FE‘STEM.OOOOOOOIOOOOOOOOOOOO xi .119 .121 .13U .135 I I I I... I r . a. . ..o .2 .ni. a: Qv A.» .o a I . _ E E . .. :c a. i . 3. :3 a e n. 9 L U "I n . 3. a. S e .J n.. ~ an 2 ..u . 1 a .1... 3. my. 5 r. “J. a: 5 u ad .3 {a x is D. an e P» o a\v Ow CHAPTER ONE INTRODUCTION The production and perfection of artificial metallic superlattices has recently been of great interest. Evaporation [1] and sputtering [2] have been used to prepare metallic superlattices. Although Molecular Beam Epitaxy (MBE) was previously used primarily to prepare semiconductor superlattices [3], it has also recently been used to prepare single crystal metallic superlattices [A]. The interest in metallic superlattices stems in large measure from the fact that it is possible to produce superlattices with novel magnetic [A,5,6] and superconduct- ing [7] properties. The possibility of applying them as x-ray [8,9] and neutron [10] mirrors is another potentially interesting application of these structures. Recent experimental work on metallic multilayers, with emphasis on superconducting systems, was reviewed by S. Ruggiero [11 1. Several physical properties, such as elastic, magnetic, superconducting, and transport proper- ties were reviewed by I.K. Schuller and C. Falco [2]. To our knowledge, there are no published Electron Energy Loss Spectroscopy (EELS) studies of metallic superlattices. Optical studies [12], x-ray photoemission (XPS), x-ray absorption (XAS) [13,111], EELS [15,16], and synchrotron radiation [17] were employed to obtain information about 2 the electronic structure of pure metals and alloys. The Vacuum Generators (VG) model H8-501 Field Emission Scanning Transmission Electron Microscope (FE-STEM; permits the measurement of energy losses from 0 to 2Kev in a single spectrum, with resolution <1ev. An electron beam energy up to 100Kev can be used, making it possible to measure transition metal samples that are ~HOOK-thick without the need to correct for multiple scattering. The beam size can be as small as SA, permitting measurements of small particles. Energy Dispersive X-Ray (EDX) analysis and electron diffraction facilities allow the characteriza- tion of the small regions under investigation [18]. A cold stage is available to minimize the migration of surface contamination to the region under investigation. In this thesis, we will present local EELS measure- ments on NiV and NiMo superlattices in tune energy range <100ev and >500ev. We also present 8/29 x-ray diffraction (XRD), electron diffraction (ED), and energy-dispersive x-ray (EDX) measurements. 1.1 Previous Work In this section we discuss previous work in the experimental areas related to the subject of this thesis. Structural analysis for NiV and NiMo superlattices is TA more detailed description of the FE-STEM system is given in Appendix A. prev work A: A.» Pb c;‘.‘. On. Q~ Q- bu .b Clscv \ a. O» h. the r 3 summarized. Optical and energy loss measurements are reviewed for some pure metals and alloys. We also review previous work on interface plasmons. We focus on NiV and NiMo superlattices in the present work 1Wn~ three reasons: First, samples of both superlat- tices with a wide range of periods (xi) were kindly made available by Dr. I.K. Schuller of Argonne National Labora- tory (ANL); second, they were characterized by Schuller's group using x-rays and found to have both long range coherence perpendicular to the layers and fairly sharp interfaces; third, the fact that these two superlattices have a common element, Ni, allowed us to test the effect of different electronegativities of the second constituent of the superlattice (Mo or V) on the EELS data, as will be discussed in conjunction with the experimental results. L;1.1 Previous Work on Structural Properties of NiV and NiMo Superlattices In 1982, Khan et a1. [19] studied the structural, elastic, and transport properties of NiMo superlattices prepared by Sputtering on Mica and Sapphire substrates. X~ray diffraction (XRD) in reflection geometry showed that these superlattices are composed of layers of FCC Ni and 8CC Mo, oriented along the [111] and [110] directions, respectively. For .A>200A, two lines were observed, corresponding to the (110) Plane of ”0 (dMo-2.22R) and the (111) plane of Ni 4U {\ obse supe x-ra nr~ 9. Q» 3 cs AV \H. u (dN1-2.03A). For A<16.6A, only one broad peak was observed, reminiscent of an amorphous structure. For superlattice periods in the range 130AZ_ A 116.6A, sharp x-ray peaks were observed with satellites consistent with a structure having well-defined layers. From the widths of the x-ray lines, the coherence perpendicular to the layers was estimated to be “1003. As the superlattice period was varied from >100A down to 16.6A, changes in the positions of the central lines indicated a 2% expansion in the average d~spacing perpen- dicular to the layers. For samples with 1A<16.6A, the center of the broad "amorphous" peak showed a contraction back to the average d-spacing corresponding to samples with large A . In an attempt to find the source of this expansion, two simple models were used to calculate the structure factor of the lattice. In the first model, a uniform expansion throughout the lattice was assumed. In the second, the expansion was assumed to be due to a single anomalous spacing at the interface. The intensity analysis based on both models was found to be consistent with the experimental intensities; hence, XRD spectra were insensi~ tive to the nature of expansion assumed in the models. Khan et al. also analyzed the in-plane structure of some equilayer thickness samples using XRD in transmission geometry. They found that the samples were laterally polycrystalline. Moreover, they found a slight (0.6%) 5 expansion in the Ni d-spacing, and a (0.5%) contraction in the Mo d~spacing parallel to the layers. They also performed reflection XRD in the small angle scattering region and observed only odd order diffraction peaks, from which they concluded that the composition modulation was close to a square wave (i.e., equal layer thickness of the two constituents with sharp interfaces). In 1985, Homma et al. [20] studied the structural properties of NiV superlattices, using x-ray and neutron diffraction. The high~angle reflection peaks (around the central peak) exhibited structural characteristics similar to those of the NiMo system. From rocking curve measure~ ments around the first order (small angle) Bragg reflection peak, they deduced a columnar structure for the growth of the samples, with a coherence length “7AOA perpendicular to the layers, and 50A in the plane. The in-plane grain size of 50A estimated from transmission 8/28 scans near the V (110) peak was consistent with the size estimated from the rocking curve measurements. 1.1.2 Previous Work on Optical Studies and EELS 1.1.2.A Plasmon Structure in Simple Metals Since the work of Pines and Bohm [21,22] in the early 19508, electron energy losses experienced by fast electrons passing through material foils have received great inter- est, both from the theoretical [23-25] and experimental ”71 2. Z O c v‘.‘ A .u 6 [26] points of view. The interpretation by Pines and Bohm [22] that some of the energy losses are due to plasma oscillations or "plasmons" was strengthened by the observa~ tion of plasmon excitations in simple metals such as Al [26], Na and K [27] and in semiconductors and semimetals [28]. The plasmon energies of the above mentioned materials were found to be in excellent agreement with the classical free electron plasma energy [29]: (1.1) where n is the density of the free electrons, e is the electronic charge, and m is the electronic mass. Stern and Ferrell [30] predicted the existence of an interface plasmon localized at the interface between two materials A and 8. This plasmon energy is given by: (1.2) where wA and ”8 are the energies of the plasmons of the two materials. This interface plasmon mode was first observed in Bi-Mg bilayer films by Miller and Axelrod in 1965 [31]. They failed, however, to observe such a plasmon mode in Al-Mg bilayer films, which they attributed to blurring of the interface between A1 and Mg. Their calculations showed a negligible diffusion between Bi auui Mg, and a 2AA diffusion length between A1 and Mg during the measuring I I . e . a u c. n g P. ”Aw 1|: . . . .. . a” . . I. . a. I S n. 3 e 9 S n. e M. V. MW: .1 n. 0U rug «C a» O r». 3.. e a a a. a. u-» u u {a a. to s A» a. e n 0%. 4/. AC 3 .. . at a... a c x -n .. . . an a .n h... a {A .n... Ti H. .. i rIL r- L o ow r..- n .1. m n.- n. e .I. m . ..l mu :u T In.- s u. a due 6 [26] points of view. The interpretation by Pines and Bohm [22] that some of the energy losses are due to plasma oscillations or "plasmons" was strengthened by the observa- tion of plasmon excitations in simple metals such as Al [26], Na auni K [27] and in semiconductors and semimetals [28]. The plasmon energies of the above mentioned materials were found to be in excellent agreement with the classical free electron plasma energy [29]: (1.1) where n is the density of the free electrons, e is the electronic charge, and m is the electronic mass. Stern and Ferrell [30] predicted the existence of an interface plasmon localized at the interface between two materials A and 8. This plasmon energy is given by: (1.2) where wA and ”8 are the energies of the plasmons of the two materials. This interface plasmon mode was first observed in Bi-Mg bilayer films by Miller and Axelrod in 1965 [31]. They failed, however, to observe such a plasmon mode in Al-Mg bilayer films, which they attributed to blurring of the interface between Al and Mg. Their calculations showed a negligible diffusion between Bi and Mg, and a 211A diffusion length between Al and Mg during the measuring L. r. g». Q» fig. a as. U in,“ O 0 3 tv C n 7 time of 50 seconds. These calculations seem to support their interpretation. Interfame plasmons were later observed in several other systems, such as Ag-Mg [32], Al~Cd and Ai—Cds [33]. and A1~Ag [3A]. The properties [35] and the dispersion [36] of these plasmons have been studied theoretically. In the theory chapter, we discuss in greater detail the interface plasmons at metallic bilayer Junctions, as well as in superlattices. 1.1.2.8 Plasmon and Core Excitations in Transi tion Metals Transition metal energy loss spectra are more complex than the previously discussed simple metals, due to the complexity of their electronic structures. Since there was no single theory until the late 19703 that described and interpreted the various peaks that occur in transition metal spectra, experimental work was the only source to shed light upon the dielectric properties of these metals. Optical [37,38] as well as EELS [39,40] techniques were used extensively to study these metals. In the beginning of the transition metal series, the spectra are relatively simpler than those at the end of the series, where the number of peaks in the spectra increases. Thus, while there is agreement between the various experi- mental groups on the assignment of peaks in the EELS of metals imi‘the beginning of the transition metal series, assig H I) r? 10 l 8 such as 11, 17, and Mo, there is some disagreement on the assignment of some peaks in the more complex spectra of metals as Fe, Ni, and Cu. The peaks in the V spectra at ‘11 and 22ev were assigned to volume plasmons [u1-u3], the first due to the collective excitation of the us electrons [AU], and the second due to the excitation of all (As+3d) electrons. The two peaks in Mo Spectra at ~10.5 and 2u.5ev were also assigned to volume plasmons [37,uo,u5], the first due to SS electrons and the second due to (53+ud) electrons. The Ni spectrum is more complex, with several peaks. Most investigators [38,”1,u6] assigned the peaks at ~8 and ~20ev to volume plasmons. The ~27ev peak was assigned to interband transitions [A1]. Others [“6] calculated the optical constants from their EELS and found that the optical absorption coefficient p, and the imaginary part of the dielectric constant,1£2, are weaker for the 27ev peak than for the 20ev peak, from which they concluded that the assignment of the 27ev peak to an interband transition is not justified. As will be discussed in conjunction with the data, Ksendzov [“7] suggested a model for interpreting the energy loss spectra in which all three peaks in Ni, as well as the two previously discussed peaks in V and Mo, are due to volume plasmons. The peaks in the energy range 35~70ev were assigned to Qv :u an. Rd. ‘1. 0‘ t; u 6c AV 9 single particle transitions from the 3p shell (M2,3) in N1 and V, and to transitions from the up shell (N2’3) in Mo spectra. These assignments are consistent with atomic energy level calculations [AB]. Excitations of core~level electrons, as in the 2p-$3d transitions, provide information about the unoccupied density of states (DOS) in the conduction bands of solids, particularly the d-bands [49]. More than a decade ago, a superposition model [50] was suggested to describe the DOS of binary alloys. This model is based on charge transfer between the two constituents. The model was found to describe the experimental DOS in Ni~Rh alloys [51]. Good agreement between the theory and experiment was obtained by assuming charge transfer from Ni to Rh. On the other hand, XAS studies of Ni-Cu alloys indicated no change in the number of Ni d-holes despite the decline in the saturation magnetic moment of tuna samples with increasing Cu concentration [52]. Recently, high-resolution EELS data involving the 2p to 3d transitions were reported [53]. Strong deviations from the single~particle transition probability calcula~ tions were found. Such discrepancies include [5“]: 1) The deviation of the intensity ratio of the P3/2 (L3) and P1/2 (L2) transitions from the statistical ratio of 2:1 [55]. This deviation was also found by Leapman et a1. [“9]. 39:1 excha P a.» 6,9 n3 9» p I1 I a all a s 10 2) The deviation of the line shape from that expected for the DOS above the Fermi level, in that the intensity is suppressed near the threshold and enhanced further above it. 3) The deviation of the apparent spin-orbit splitting (inferred from the separation of the L2 and L3 peak maxima) from that observed in 2p core-line photoemission. .A theory for XAS of the beginning of the transition metal series (below Cr) was presented [5”]. First princi- ples band structure and atomic data were used as input for the theory, and the spectra for Ca, Ti, and V were calcu- lated and found to be in good agreement with the experi~ nmntal data. This theory is applicable to metals with d-band widths much larger than the d-d electron Coulomb and exchange interactions. For the three metals considered, the typical band width (“6ev) is much larger than the d~d electron interactions (”1ev) [5A]; hence, the d-d electron interactions can be ignored. 1.2 The Present Thesis 1.2.1 Characterization of the Samples This project started when we received a few NiV samples from I.K. Schuller of ANL. Since the samples were prepared several months before we received them, it was important to check the structural characteristics of these samples. Three different techniques were used: 11 1) XRD: As mentioned in Section 1.1.1, Khan et al. studied the structural properties of N11“) superlattices, and found a 2% expansion in the average d-spacing perpen- dicular to the layers as (A decreased down to “17A, and a contraction back to approximately the bulk value as A decreased down to “15A. We studied the structural charac- teristics of NiMo and NiV samples to investigate any structural changes of the samples with time. 2) EDX microanalysis: Since XRD studies do not provide information about the local composition of the samples, EDX microanalysis was carried out to check the uniformity in the composition of the samples. The EDX analysis is important to separate effects of contamination, or changes in the relative concentrations of the two constituents, from possible superlattice or interfacial effects. 3) Electron Diffraction: Selected Area Diffraction (SAD) and microdiffraction (MD) studies of the samples using a 100-Kev electron beam provide information about the in-plane structure of the samples. We studied the electron diffraction patterns of the superlattices and the pure metals: we estimated the crystallite sizes (i.e., the in-plane coherence) from the widths of the diffraction peaks, and 1H3 made qualitative conclusions about the in-plane structure. 12 1.2.2 Electron Energy Loss Spectroscopy (EELS) In this thesis, we focus on three major effects: 1) The interfaces: As discussed above, energy loss spectra of bimetallic junctions show new resonances attributable to interface plasmons. NiV and NiMo superlat- tices with a range of periods that cross the superlattice- "amorphous" border provide a useful system for studying interface plasmons. The usefulness of these systems stems from two reasons: a) the availability of superlattices with different periods provides samples with different numbers of inter- faces per unit volume; thus, we would expect to observe interface resonances with intensities that scale with the number of interfaces per unit volume (i.e., with 1\). b) The availability of samples that cross the crystal- line: (layered)-"amorphous" (nonlayered) border provide an internal check for the interpretation of these resonances being due to interfaces, since, as we go from layered to nonlayered structures across the border, we would expect a sudden (“w“) in the intensity of resonances attributed to interfaces. 2) The effect of layering: The additional periodicity in the z direction (perpendicular to the layers) introduces bands of collective excitations of the superlattice due to coupling of the interface plasmons, as will be discussed in Chapter 2. If splitting of the plasmon bands is larger 13 than the instrumental resolution, it should be possible to see several interface excitations in the EELS spectra. The effect of layer thickness on these bands can also be investigated. 3) Charge transfer: When two metallic slabs are brought into contact, charge is transferred from the metal with the lower in: that with the higher Pauling electro- negativity [56]. Since charge transfer occurs in the vicinity of the interface between the two metals (’10A) [57] we would expect to see a large effect in superlattices with small periods. Thus, the positions of the plasmon peaks in EELS spectra possibly reveals information about the charge transfer between the two metals. In addition, charge transfer from one metal to another in a superlattice consisting of two transition metals (e.g., from V to Ni in NiV superlattices) leaves more d-holes in one (the V) and fewer holes 1J1 the other (Ni). Thus, EELS in the L2,3 energy range (>500ev) provide information about charge transfer between the two metals. To check for charge transfer, we measured: (a) Two systems in the energy range <100ev; NiV, in which the two constituents have different Pauling electronegativities (1.8 for Ni and 1.6 for V). and NiMo where the two constituents have essentially equal electronegativities; (b) The V and Ni L2,3 WLs. CHAPTER TWO THEORY In this chapter, we first review the theory of bulk and surface plasmons in a metal foil. Second, we review the theory of interface plasmons at bimetallic junctions. Third, we review the theory of bulk and interface plasmon bands in metallic superlattices, and we discuss the effect of terminating the superlattice, and calculate the surface plasmon dispersion relation. We also apply the appropriate dispersion relations to NiV and NiMo superlattices and calculate the plasmon bands and the surface plasmons. 2.1 Collective Excitations of a Metal Foil [15,58,59] The dielectric function [15] of a free electron gas, assumed real for simplicity, is given by: if? 1 £(w,?) = 1 '- ~— (2.1.a) w2 1 - g (Y.Vk/w)2 The bulk plasmon frequency is determined by the condition e-O. Hence, the dispersion relation of bulk plasmons in simple metals is given by: w2 - w2 + 82k2 (2.2.a) 32 - 3 v2 (2.2.0) Here wp is the bulk plasmon frequency given by equation 1.1 1H an is n u n1 n . A“... a. to . . .1 a» 1m 0» iv an. II D. S . . . , F. a #u e o n .1 5 n a» h.» h .nfl. . h.» 9 Hi 0... “I ..d a x .n . e F m b - ad. A: 6 M NH“ ON..- s mu.» V L A‘ 15 and V} is the Fermi velocity. In a simple local theory, 8 is set equal to zero. The dielectric constant in equation 2.1.a then becomes: 2 W e(w)-1- 423 (2.1.b) N which will be assumed for all metals, unless otherwise mentioned. In the long wavelength limit (retardation effects are ignored), the collective excitations produce a macroscopic electric field which can be derived from an electrostatic potential f(Y,t). The electrostatic potential satisfies Laplace's equation everywhere outside the metal: 72f(Y,t) - 0 . (2.3.a) and the following relation inside the film: ¢(w)72r‘(i’,t) - 0 (2.3.13) where only one Fourier component of f(Y,t) is considered. Because of translational invariance parallel to the two surfaces of the film, the two~dimensional wave vector F parallel to the surfaces is a good quantum number of the excitations. The electrostatic potential everywhere can then be written as: f(f,t) - f(z) exp(ikx-iwt) (2.”) where the wave vector V is assumed parallel to the x~axis for convenience. For a: metal film with thickness d, two types of elementary excitations which generate a macroscopic field «(a pit.» RU ah. F. ca lo fa 3U.” anti: 2 . at RU 16 exist. One type conSists of the symmetric and antisym- metric superposition of the surface plasmons at the two surfaces, as illustrated in Figure 2.1 (from reference [30]). The second consists of bulk plasmons. Now we briefly discuss each type of excitation. (1) Surface plasmons: A metal-vacuum interface supports a surface plasmon with a wave vector independent frequency ws given by: £(ws) . -1 (2.5) This relation can be readily obtained from the boundary conditions at the metal-vacuum interface (2:0). Combining equations 2.1.b and 2.5, we obtain ws . wp/21/2, as originally derived by Ritchie [59]. These excitations are localized at the surface, and take the form: f(z) “ e-kz (2.6) For a metal film with a finite thickness d, the two surface modes couple to produce the symmetric (wi) and antisymmetric (w-) modes illustrated in Figure 2.1. The dispersion relation for these modes satisfies the relations £(w_) - -coth (Eg) (2.7.a) €(w+) = -tanh (£3) (2.7.b) from which we obtain: 'kd 1 e )1/2 (2.8) t t p 2 This dispersion relation is plotted in Figure 2.2. The two a)Symmetric mode. 1V+1V—: I o 1 o 1 [A 1m: Figure 2.1 Cross-Sectional View of the Field Lines of the (a) Symmetric and (b) Anti‘symmetric Surface Plasmon Modes in a Metallic Film 18 ‘3 l l 1 I l 14 - - (0+ 12 - 4 F; — -—¢—‘-'——.—.-: v ” ’ >- a - x/ (1).. .1 c9 /’ m ./ I! m / 4 "l _ I 2 I I 0 [_ l l l l l 0.0 0.5 1.0 1.5 2.0 2.5 3.0 kd Figure 2.2 Dispersion of the Symmetric (wi) and Anti- symmetric (w_) Surface Plasmons 19 branches approach ws for large kd, since in this limit the plasmon wavelengths are sufficiently small that the two surface modes decouple [30]. (ii) Bulk plasmons: A amtal film also supports bulk plasmons of longitudinal character with frequencies for which £(w)-0. In such a case, Laplace's equation does not hold in the film. The boundary conditions require that the electrostatic potential vanishes identically outside the film, so that the excitations do not produce a macroscopic field outside the film. Thus, the electrostatic potential inside the film has the form: f(z) ‘ sin (2%!) (2.9) and one has standing wave resonances inside the film, the frequencies of which are identical to those for an infinite dielectric. 2.2 Interface Plasmons at Bimetallic Junctions [30.60.35.361 Using an argument similar to that followed in the preceeding section, Stern and Ferrell [30] predicted the existence of interface plasmons localized at a metal-metal or metal-dielectric interfaceu The eigenfrequencies of such modes are given by the relation: £1(w) + 62(w) - 0 (2.10) This equation is the generalized form of equation 2.5, and gives the constant interface frequency: _. . .I . u . a» a» n.“ |.—1. . W e , n . Ah» ”0 AV .\ Q 9 U .l t ‘1: e D” d 1. w a 1; a. a. a» a. ...v n. or. a n .n n U a C e .7. . . 9 .1 a... a. n: a x e. a .3 C .I n. H a. .C so V 0 Ti. Me L1. ..u 20 (2.11) where w1 and w2 are the bulk plasmon frequencies of metal 1 and 2, respectively. The hydrodynamic model, including dispersion of the bulk plasmon given by equation 2.2 was later used to calculate the dispersion relation of these modes. The following analysis will closely follow the analysis of references [35,36]: 0. N )a' - 8217(1-7..D’) - (3)17} - o (2.12) ( N dt where E3 is given by equation 2.2.b, U is the macroscopic electron displacement vector from eqilibrium, and 62-63 defines the displacement potential 3. The bulk plasmon frequency is assumed to have the form given 1J1 equation 2.2 (the dispersion for small wave vectors), and for later convenience, we adopt the following definitions: 82p2 - wp2 + 82k2 - w2 w2 wb2 (2.13.6) In these two energy regions, both g and f satisfy the relation: N 2 (—‘ll - k2)(——d ~12)g(z) - o (2.111) 2 2 dz dz 2 p2 for w2< w: where ‘ j - Av n. 0. \ :he 0 Hhera and f and g are related by: 21 2 f(z) - E(82-2- - 82k2 + w2)g(z) (2.15) e 2 dz In the following discussion, we let metal 1 occupy the space z<0, and metal 2 z>0, and subscripts 1 and 2 refer to these metals. We also assume ”b1 3 12 — 4"" - >- 10 - - CD a . - - I: “J B _ _ 4 - — 2 -' .— 0 l l l 1 i 0.0 0.2 0.4 0.3 0.0 1.0 1.2 —1 k (A ) Figure 2.3 Dispersion of the Interface Plasmon at a Bi-Mg Junction \/ 2A of bulk plasmons. These cut-off parameters are given by: W F1 r s 201‘18 kD- 1.26kF- rs (2.21) Using the dispersion relation of bulk plasmon in small k region given by equation 2.2, one can roughly estimate those systems where we can observe interface plasmons. The dispersion relation of the bulk plasmon combined with equation 2.20 gives: w2 i w 1_2 (2.22) 2 2 2 1+ 0.6w1- 1.6w1 This relation shows that we should observe an interface plasmon with frequency w anywhere between w (the lower 1’2 plasmon of the two metals) and 1.26 w 1 1. For higher w1_2, the plasmon will suffer from Landau damping. Beyond kD, the interface plasmons are forbidden. IN) the NiV and NiMo systems, Ni has a plasmon with energy ”8ev, V a plasmon with energy ”11ev, and Mo a plasmon with energy ~10.5ev. Equation 2.22 shows that interface plasmons at “9.5ev for both NiV and NiMo systems are in the allowed energy regime. Higher plasmons (at >20ev) are outside the spectral region 61/5250, where interface plasmons may exist [58]. 25 2.3 Collective Excitations in Metallic Superlattices For a metallic film there are two types of plasmons: one type 143 the symmetric and anti-symmetric surface plasmons (Figures 2.1 and 2.2); the second type consists of bulk plasmons propagating in the plane of the film. For a superlattice, bands of the first type of plasmons can be obtained assuming a local theory. Bands of the second type require nonlocal theory (8&0 in equation 2.2). Nonlocal effects yield extra splittings in the interface plasmon bands obtained in the local limit. 2.3.1 Collective and Surface Excitations in the Local Limit [58,61] In tniis section, we make use of the local theory to investigate interface plasmon modes of metallic superlat- tices. In this limit, we recall that 8 in equation 2.2 is set equal to zero, and the dielectric function of the metals is given by equation 2.1.b. We first study the collective excitations of an infinite superlattice; second, we study the surface plasmons localized at the metal-vacuum interface of a semi-infinite superlattice. 2.3.1.A Collective Excitations We first consider an infinite superlattice illustrated :Ui Figure 2.u. As discussed in Section 2.1, an isolated slab of metal 1 or 2 supports standing wave resonances (with frequencies for which 61(w) or 52(w) vanishes) which 26 A «1\\\\.\\\I§_I 1]" B 2 d A K\\\\\\\\ A \_\\\\\\X B Figure 2." Schematic Diagram of an Infinite Superlattice van: Ever I ' I. In I — (D I.) (J (D (I — 27 generate a macroscopic field confined within the slab. Thus, in a superlattice such as that in Figure 2.A, each slab possesses bulk plasmons as in the isolated slab. In addition, there are collective excitations of the whole structure with frequencies w such that neither metal has a vanishing dielectric constant. INT such a case, the electrostatic potential satisfies Laplace's equation everywhere. Combining equations 2.3.a and 2.11, f(z) is found to satisfy the differential equation: 2 , (Lg — k2) f(z) - o (2.23) dz Because of the periodicity in the z-direction, f(z) must satisfy the proper boundary conditions at each interface. Hence the solution must form a Bloch wave, with respect to translations in the z-direction. Thus, f(z) takes the form: iqz f(z) - e Uq(z) (2.2U) and for any integer n, Uq(z) satisfies the relation: Uq(z + nzl) - Uq(z) (2.25) Thus, a general solution of equation 2.23 within the slab of metal 1 at nA_<_z_<_nA.+d1 is: Uq(z) _ e-iq(z-n1\)[A1ek(z-nA )+ AZe-k(z-n1\)] (2.26) So that: f(z) eian [A ek(z-nA.) + A e-k(z-n1\)] (2.27.a) 1 2 28 Similarly, in the slab of metal 2 at nA.+d1gzg(n+1)A we have: eian ek(z-nA -c1,)+ 1 e"k(Z"flA '01) f(Z) [B 32 ] (2.27.b) We then apply the proper boundary conditions to these solutions, i.e., the continuity of the electrostatic potential and the normal component of the electric dis placement vector across the interface between the two metals at z-nA. and z-nA.+d1. We thus obtain four equations involving the coefficients in equation 2.27. Then setting the appropriate uxu determinent equal to zero leads to the implicit dispersion relation: 6 6 [1+(-l)2]sinh kd1sinh kd2+22l[cosh kd1cosh kd2-cos q)\]=0 ‘2 2 (2.28) where the explicit reference to the frequency dependence of the dielectric constant is dropped in equation 2.28 for convenience. This equation has the solution: 6 1/ -l - -c(k,q)+[02(k,q) - 1] 2 (2.29) 62 " where: cosh kd cosh kd - cos qu c - 1 2 (2 30) sinh kd1 sinh kd2 ' For real solution of the eigen frequencies, we must have c11. Hence, collective excitations occur in the frequency region for which 61/5230. This is the spectral region where surface plasmons may exist at the interface. The collective excitations discussed above may be viewed as a su; area only dowr 29 superposition of surface plasmons which, for finite layer thickness, couple to form normal modes of the whole structure. Notice that in the limit kd2>>1, and a finite kd equation 2.29 reduces to the dispersion relations of 1’ an isolated metal slab given in equation 2.7, as expected. Equation 2.29 can be solved for the eigenfrequencies and hence we obtain the explicit dispersion relation: 2 2 2 2 {w1+ w2 w1 w2 cosh k(d1 d2) cos qA 1/2 1/2 (2.31) cosh kAJ : cos qA The general solution 2.31 consists of two bands with a gap This gap closes when d ad where we have 1-2' 1 2’ only one band with width (w2- w1) at kA =0, and narrows around w down to zero width for large k)\. Figure 2.5 shows the dispersion relation of collective superlattice excitations in the NiV superlattice with d1- d This dispersion 2. relation is not affected by A . 2;}.1.8 Surface Excitations We now consider the semi-infinite superlattice occupying the half-space z>0, while the half-space z<0 is vacuum. We are also interested in modes localized in the vicinity of the interface at z-O. We obtain for such modes a solution identical to that in equation 2.27, with q replaced by LB, which implies that the solution decays exponentially in the superlattice. In the region z<0, the solution has the form: ENERGY (ev) FiEur am) 3O ‘2 I I I I I 11 Collective mode - 10 - 9 _ 3‘ 8 - E, 7 1— _ _ __‘ Surface mode >- 6 ‘ ‘~ ~ __________ - (D _______ CE 5 — .. % UJ 4 ' ] 3 — —1 2 — _ 1 '— —1 0 l l l l I 0 1 2 3 4 5 6 M Figure 2.5 Dispersion of Interface and Surface Plasmons in a NiV Superlattice KI Comb 013p 31 f(z) - C exp{+kz} (2.32) Upon applying the boundary conditions at z'nA. and z-n/i+d1 we obtain four equation involving the four coefficients of equation 2.27. We also apply the appro- priate boundary conditions at z-O and obtain two other equations involving the coefficients in equations 2.26 and 2.32. We combine these six equations and obtain only three equations involving A1 and A2. Those three equations are then combined to obtain the following implicit dispersion relations: -kd e‘fiA' - e 2[cosh kd1+ P1 sinh kd,] (2.33) +kd e‘BA' - e 2[cosh kd1 + P2 sinh kd1] (2.3a) where: P - ----— , P - -—-——-—— 1 61(1 62) 2 61(1+€2) Combining equations 2.33 and 2.3a we obtain the implicit dispersion relation for the surface mode: kd2 -kd2 2 cosh kdISinh kd2+ sinh kd1[P2e -P1e ]=0 (2.35) Equation 2.35 gives two solutions for w. For d -d one 1 2’ solution is constant and has the value w the other 1-2’ starts at a frequency w1> w > w1/21/2, and approaches the value of the surface mode of the metal in contact with O vacuum. Figure 2.5 also shows the surface modes for a NiV superlattice with the Ni layer being in contact with the ‘Va QGPSiC 32 vacuum at z-O. 2.3.2 Collective Excitations in the Non-local Limit Eliasson et al. [62] used the hydrodynamic approach, including non-local effects, to investigate the collective excitations generated by coupling of bulk plasmons in metallic superlattices. The equation of motion for the density fluctuation n(z) was set up, and the differential equations obeyed by n(z) were derived in both materials of the superlattice. In the regime w Swgw the solution was 1 2 assumed to be: Aeiqz + 8e”iqz ,Oizgd1 n(z) 3 (2036) Ce”Pz + DePz ,d . t w z I m 1 .- ‘g 1 1 E [1.193 I —/1\— l M143. I l 35 40 50 45 201099.) Figure 3.1 XRD Spectra and Structure Factor of ANL NiMo Superlattices (Arb. Unns) INTENSITY > (‘1. 01 )0 I | l L .2 W l l I l 33 4o 42 44 4s 48 50 9 . 20mg) Figure 3.2 XRD Spectra and Structure Factor of ANL NiV Superlattices (Arb. Units) INTENSITY > 311 m )0 I I I 1 i... W l l l l 33 4o 42 44 46 48 50 29(Deg.) Figure 3.2 XRD Spectra and Structure Factor of ANL NiV Superlattices HS length is ~20K. The transition from a layered structure to a nonlayered "amorphous" one seems to be fairly sharp (within “1 atomic plane). The superlattices with 1&“193 are not very uniform. X-ray spectra on different parts of the same sample show that the diffraction pattern from some places on the sample shows a single sharp peak (the main peak corresponding to the average d-spacing), on top of a broad, amorphous-like peak. This indicates the existence of disorder coexisting with layered structure in the same sample. The weak signal and the possibly diffuse interfaces in these regions of the sample do not allow the detection of any satellite around the main peak. Figure 3.3 shows the diffraction pattern from two different pieces of the same NiMo sample of period “1911. Furthermore, the position of the main line in the diffraction patterns was found to move down in q-space as A decreased down to 19X. For zigj53, the center of the broad peak moved back to approximately the position corresponding to the samples with large A.. This effect had been observed previously in the NiMo system [19]. Figures 3.4 and 3.5 show the experimental values of (1/5) vs. A. for NiMo and NiV superlattices, respectively. The positions of Bragg peaks from the substrates were used to calibrate the q-axis. Figure 3.h shows that, for large A , 1/3 reaches the H6 NIMo 4:193 INTENSITY (Arb Umts) 40 1 4'5 r I T t 50 29 (Deg.) V I U '1' l' I I I Figure 3.3 XRD Spectra in Two Different Pieces of the ANL 193 NiMo Superlattice u? 1/6 (A I l l l I I l I l I I I I 0-‘73 + KHAN 0t :1. T 0 47s A m. SAMPLEstwn was.” ' El wsu mstom was.) 00‘7‘ - 0.472_ ___ ___ __ __ __ __ __: 0.470 + 4’ é ‘ 0.458 % + é -I 0.406 + a 4. 0.404 Lg _ :I-I + 0.482 .. .1 +-L J l i l l l J. I l l (L4BC 0 10 20 30 4O 50 60 70 80 90 100 110 120 130 A (A) Figure 3.” The Behavior of the Average d-spacing in NiMo Superlattices 118 0'“ I .. I I I I I I I I I I I 0,490 -+ HOMHA 0t 01. “ A “‘4. SAMES (M NEASJ 0 . 400 [3 H50 SAMPLES (0m «543.1 0.405 A _I A 0.484 _ °$ 0.482 .I no _I&_._._.___ _ ___—__i \ 0.470 + -I 0.476 gfilé d 0.474 .— o.472 J L l l I l l L l L l l 0 Figure 3.5 Superlattices 10 20 30 40 50 60 70 BO 90 100 110 120 130 Am The Behavior of the Average d-spacing in NiV "9 calculated value (dashed lines) using eqation 3.2. As A. decreases, 1/3 decreases until .A‘19X, when the difference between large A and small AK values of 1/5 reaches :21, in agreement with the results of reference [19]. For A ”1&3, the center of the broad peak moves back to approximately the calculated value. Figure 3.5 shows that the NiV system exhibits a similar behavior. The change in 1/3, however, is “1%, half of the effect observed in the NiMo system. For A -153, the peak is broad and the uncertainty in locating its center is large. These experimentally observed expansions in the average d-spacings for NiMo and NiV as .A decreases have no analogue in the calculation. In addition to this expansion perpendicular to the layers, a slight expansion in the Ni spacing and a comparable contraction in the Mo spacing parallel to the planes have been reported [19]. The coherence lengths of these systems were crudely estimated from the experimental line widths of the central Bragg peaks of the superlattices. The instrumental width was estimated to be equal to the width of a sharp Mica line. The line shapes of both the Bragg peaks and the instrumental width were assumed to be Lorentzian; thus, in correcting for the instrumental width, we simply subtracted the instrumental width from the width of the central Bragg peak of the superlattices. This procedure gave a coherence 50 length of “3003 for both the NiV and NiMo systems prepared at ANL. This result is in qualitative agreement with the coherence lengths of ~100K for NiMo system obtained by Khan et al. [19], and of ~7003 for NiV system obtained by Homma et al. [20]. MSU-prepared samples that showed superlattice lines had a coherence length of 100-2003. 3.2.2 Electron Diffraction (ED) The structure of materials can be divided into two broad categories: amorphous and crystalline, according to the degree of long-range order of the atoms in the mater- ial. A material with no ordered structure is considered amorphous, while a material in which the same structure repeats over the entire macrosCOpic sample is said to be a single crystal. Between the two extremes we find the polycrystalline materials in which the atoms are arranged in small crystallites that are usually randomly oriented in the bulk of the sample [18]. A portion of the electrons passing through thin films of matter are scattered elastically by the atoms. As in the case of x-rays, crystal planes diffract these electrons in well-defined directions [68] governed by Bragg's Lawg giving strong, narrow peaks, while amorphous materials scatter the electrons in a wide range of angles, giving a weak, broad peak. The wave length of 100 Kev electrons is ”0.037A, which 51 gives an angular diffraction of the electron beam from a typical crystal plane of “IOmrad (0.50) for d"23. This deflection angle is about two orders of magnitude smaller than in the case of XRD, which accounts for the poorer resolution of ED. 1n: ED experiments, we observe more reflections than in the case of XRD, since the Ewald sphere fbr electrons has a larger radius, and intersects more points in the reciprocal space of the sample [69]. 3.2.2.A The Electron Diffraction Camera and Bragg Reflection A parallel electron beam falling on a crystal at an angle 9 with lattice planes separated by a distance d diffracts through an angle 26 from the undeviated beam. If a detector is located a distance L from the sample, a diffraction spot corresponding to the lattice spacing d wild. be detected at a distance R-LtanZB from the central spot of the undeviated beam. Using Bragg's Law, along with the fact that, for electron scattering, the angle 6 is small (sinB-tanB-B), we obtain a formula for the d-spacing of the lattice planes: A L d - R (3.1”) L is the camera length, and A is the wave length of the electron beam. If the beam falls on a region of the sample that contains more than one set of lattice planes with different 52 d-spacings, a diffraction pattern (DP) of several spots will be observed. If the region of the sample contains very small crystallites that are randomly oriented, rings with different radii R will be observed. Each ring with a radius R corresponds to reflection from a set of planes with a d-spacing that is related to B through equation 3.1”. The widths of the rings are determined by the sizes of the crystallites. Crystallites as small as “103 still give fairly sharp rings. Amorphous materials, in contrast, give a broad, diffuse ring associated with the closest distance of approach of the atoms [69]; a weak second- order ring associated with the second nearest neighbor correlation might also be observed. For accurate measure- ments of the radii of the rings, it is best to use a microdensitometer, or the line scan facility available in the FE-STEM. The line scan facility provides a horizontal scan of the beam across the diffraction pattern, and gives peaks corresponding to the rings. The radii of the diffraction rings are then measured to within <21. Knowledge of the camera length L as well as of the radius of the diffraction ring allows the calculation of the d-spacing of the set of planes giving rise to the diffrac- tion ring under consideration. The combination of the electron gun, the sample holder, and the detector constitutes the electron diffrac- tion camera. )\ L is called the camera constant. The 53 camera length in the FE-STEM can be varied from 10 to 5000cm. 3.2.2.B Selected Area Diffraction (SAD) and Microdiffraction (MD) In the selected area diffraction (SAD) mode, a parallel beam of electrons falls on the sample, and a diffraction pattern (DP) from a.certain area of the sample is viewed on the CRT screen. The investigated area of the sample can be controlled by means of the SAD aperture. An area as small as “102 can be measured by choosing a 25p aperture. The resolution of the DP is controlled by the size of the collector aperture (CA). A 150p or 500 collector aperture gives a reasonably high resolution DP with momentum resolution ”0.1A“. Figure 3.6 shows the DP of a 3003 thick FCC polycrystalline Phi film prepared at MSU, and of an amorphous Fle film prepared at ANL. Both films were sputtered on NaCl substrates. Table 3.2 shows the Miller indices of the Ni planes responsible for the cmserved diffraction rings. The camera constant of 2.1u5Acm was obtained by matching the calculated and the observed d-spacings of the (111) and (200) Ni lattice planes. 5H SAD a) b) Figure 3.6 SAD of (a) Crystalline Ni, and (b) Amorphous Fle Films 55 Table 3.2 The d-spacing and the Miller Incices of the Ni Planes Responsible for the observed Reflections 1 of Reflections Qexp.(3) £5; icaic.£§l 1 2.043:0.024 111 2.032 2 1.751:0.018 200 1.760 3 1.24310.009 220 1.245 n 1.059;0.007 311 1.061 5 0.867:0.015 400 0.880 6 0.79110.010 331 0.808 420 0.787 7 0.715:0.006 422 0.719 8 o.670;0.oo7 511 0.677 333 0.677 9 0.617:0.006 440 0.622 10 0.584:0.005 531 0.595 442 0.587 600 0.587 In the Microdiffraction (MD) mode, a convergent beam of small spot size (“103) falls on the sample, and gives a DP from very small regions of the sample. The resolution of the DH) pattern can be controlled by the sizes of the objective aperture (0A) and CA. Because the beam converges at the spot under investigation, a range of incident angles exist simultaneously, which leads to broader diffraction spots and hence to poorer angular resolution than in the case of SAD. Figure 3.7 shows a microdiffraction pattern on a region of the Ni film. An estimate of the crystallite size of the Ni was obtained by moving the beam across the sample until the MD pattern changed. The estimate of ”1003 was in qualitative agreement with the crystallite size of ~50A estimated from the width of the first diffraction peak in the SAD pattern. In the MD mode, a double-tilt goniometer specimen 56 MD Figure 3.7 MD of a Crystalline Ni Film 57 stage is used to obtain a recognizable diffraction pattern of the portion of the sample under investigation. Tilting the sample moves the portion of the sample of interest away from the beam. This problem can be solved by tilting the sample while in imaging mode, where we can shift the beam back to the point of interest. This procedure, however, is lengthy, especially if the microcrystallites are (303 in size. An additional difficulty in using MD to study the structure of such microcrystallites is that the drift per minute of the beam can be larger than the size of the crystallites. In this section we will be mainly concerned with using SAD to study the in-plane structure of NiV superlattices of total thickness 21. Figure 3.9 shows the diffraction patterns of three other regions of the sample. We notice that the diffrac- tion peaks are broader, indicating smaller crystallites. The crystallite size in cases c and d was estimated to be ~10A. The DP in case a shows a structure that is between that of crystalline and amorphous, with an apparent crystallite size of ”7A. DPs b and c in Figure 3.9 show additional examples of crystal orientation preference (e.g., in b the intensity of the Ni (220) reflection is comparable to that of the V (110) in the direction of the line scan). The intensities of the Ni (311) and V (220) reflections are very small, which means that there are very few crystallites with those planes oriented in the direction of the line scan. The above results show large variations in the structure and the in-plane grain sizes in different regions of the sample. The A-6OA sample showed a more nearly uniform structure with in-plane grain size ~203. The rings still showed anisotropic intensity distribution which indicated preferential crystal orientation in certain directions. Figure 3.10 shows the DP in three different regions of the sample. The peaks correspond to the reflections given in Table 3.3 for the 193 sample. The ~0.6% expansion in Ni spacing for the thinnest samples observed by Khan et al. 61 a) b) c) Figure 3.9 SAD in Three Different Regions of ANL 19A NiV Superlattice 62 a) b) c) Figure 3.10 SAD in Three Different Regions of ANL 60A NiV Superlattice 63 [19] was not resolved in our ED experiments and hence, to within the experimental uncertainty of <21, the d-spacings for large and small A samples are the same. We also studied the structure of samples prepared at MSU. The A.-ZTA sample showed large structural variations. Most. "' A .1.) El % 1% A % A A A A \. i 0 - 8 A _ Z t I 0.3 - _ 0.5 - d 04 — a 02 — . a 0.0 1 1 1 1 1 1 L 1 1 1 0 2 4 6 8 10 12 14 16 18 20 22 n (Bock #) Figure 3.111 Ni-to-V Thickness Ratio in ANL 19R NiV Superlattice 711 Figure 3.15 Topology of a Measured Piece (B9) of ANL 19A NiV Superlattice 75 the mmmle. At the fifth spot (a dark inclusion), the thHMmess ratio was 0.9 (i.e., V-rich). More than 50 meamwements in that region showed a lower thickness ratio in that inclusion than anywhere else in that region. Certain regions of the sample contained contaminants such as Fe and Cl. These contaminants can be detected by EDX. Other contaminants, such as O and C, cannot be detected by this technique. Energy Loss Spectroscopy is a useful technique for detecting such low-Z contaminents, as will be discussed later. The Fe contamination found in some regions, such as block #10 was barely detectable. The CI contamination found in other places was due to undissolved pieces of the NaCl substrate. Figure 3.1" also shows the thickness ratio for piece 88 of the 19R sample with a total thickness of 10001. The thickness ratio in seven different regions of the sample showed ani essentially uniform composition with an average inatio (of 1.15:0.1, consistent with most measurements in piece B9. To study the local variations in the composition of samples prepared at MSU, we measured a piece of the SODA-thick, 27A NiV sample (Figure 3.16). Except in one region where the thickness of the film was highly nonuni- forum the composition was essentially uniform with an The nonuniform region gave a large average of 1 £710.06. vaT'iatzion in the composition at different places. Two 76 2'0 I I I I I I I I 1.8 -' % _ hflv 1.6 - é .— 1.4 — é _ A § 4-, ‘2. L0-— _ z 4.’ 0.8 '- —-1 03 L _ 0.4 I- _ 0.2 _- _ 00 1 1 1 1 1 1 1 1 1 0 i 2 3 14 s s :7 s s 10 n (Block #) Figure 3.16 Ni-to-v Thickness Ratio in MSU 27R NiV Superlatt ice 77 thick places (>5003) gave a Ni/V thickness ratio of 1 .25:0.06 and 1.35:0.011. Two thin places ((5003) gave a thickness ratio of 1.88:0.13 and 1.53:0.09. The uniform region of the film in the same block gave a thickness ratio of 1.19:0.011. Absorption effects in the grid bars cannot be responsible for these variations, since we used 8 Be grid (which is transparent to Ni and V x-ray lines), and a tilt angle of (~20°,+20°). We also measured a ~10003-thick, 223 NiMo sample prepared at MSU on NaCl. The multiplicative factor for the Mo/Ni thickness ratio in equation 3.21 is 3.3. The composition If) 26 different places was 1.11:0.05 (Figure 3.17). This sample did not show the large composition variations observed in the MSU NiV sample or in piece B9 of the ANL samples. Other pieces of other samples, such as the ANL 153 NiV sample of total thickness “11: grown on Mica were studied using x-ray microanalysis. In such samples, however, thin regions along the edge of the sample were studied, so that there is In: information about the composition of the huerior region of these samples. Besides, the x-ray spectra on such samples were detected using a fixed tilt angm (~20°,+ZO°). The Ni-to-V thickness ratio in the 153 sample was found to oscillate between 0.86 and 1.00 in 16 different places. For most of the remaining samples, emission EDX was th/tNI 2.0 1.8 1.8 1.4 1.2 1.0 0.8 0.8 0.4 0.2 0.0 Figure Superlattice 78 I l I l I I I V I I I I I ' NiMo ‘ AAAAAAA AA AA Aéééééééééé .. A A .1 i 1 I I l J I l l L l L L 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 n (Block #) 3.17 Mo-to-Ni Thickness Ratio in MSU 223 NiMo 79 not used for quantitative purposes, but rather for occa- sional checking for contaminents or to identify the sample and the regions to be studied by other techniques, such as EELS. CHAPTER FOUR EXPERIMENTAL RESULTS AND ANALYSIS u.1 Introduction In this chapter, we first present the characteristic Elechwannergy Loss Spectra (EELS) for the pure metals Al, V, Ni and Mo, and compare our data with optical and other EELS data to check the reliability of our measuring techniques and the calibration of the system. Second, we present EELS data on NiV superlattices in the energy range <100ev, and then in the higher energy range (>500ev) in the (2p-—93d) transitions. We vicinity of both Ni and V L2,3 A. examine how the spectra vary with superlattice period and compare the intensities of the various lines with those mm“ a NiV "pseudo-alloy" consisting of a superposition of and v spectra. This study will appropriately weighted Ni be presented for samples prepared at ANL. Then we discuss and inter- data fwn~ NiV superlattices prepared at MSU, compare the data for the two sets of superlattices. Third, in the energy region <100ev for NiMo we present data discuss the results, and superlattices prepared at ANL, then compare them with results for NiMo samples prepared at In NiMo, the Ni L2’3 lines were too weak to be used MSU. The Mo L2,3 lines start at quantitative analysis. for' wriich is above the effective range (<2000ev) of our ZSZOev, electron spectrometer. 8o 81 11.2 EELS of Pure Metals and Oxides As mentioned in Section 1.1.2, several metals have been found to exhibit plasmons at energies given by the classical free electron plasma energy wp. The dielectric function of such metals is given by the classical, free electron model [13]: 2 W 9 (1m) w(w + igo) where w is the free electron plasma energy given by equation 1.1 and go is the damping constant for the plasma oscillation. Equation “.1 shows that, for small damping (go<_ 20 T I} _ I— h 5': " DJ l' '- II 2 l H 10 '- 'l _. [I II 5 - 1‘ _ \ \ o I_./I l\\+ _ L._l o 2 4 s a 10 12 i4 16 18 20 22 24 as as ENERGY (ev) Figure 14.1 'Dielectric Function, Loss Function, and EELS of Al 83 61,62 mullm(€%l for Al [73]. These functions are nicely consistent with the free electron dielectric model for Al. EdgureiLI also shows our EELS measurements for a hoot— thick Al film, normalized and superimposed on the optical loss humtion. The Al film was sputtered on a freshly- cfleaved NaCl substrate. (hn~ EELS data were not corrected for the energy distribution of the beam (the half width of the electron beam was <1ev). Thus, we notice that the ~15.2ev obtained by EELS is somewhat wider than plasmon at Deconvoluting that obtained from the optical measurements. the primary beam width from our measured spectrum, assuming Lorentzian line shape for both the plasmon and the a in good agreement with the optical primary beam, results ~7ev is the surface plasmon of measurements. The peak at Al, shifted downward due to an oxide layer at the surface [7”]. Transition metal EELS spectra are more complnmnmd than Imany other metals, because of different types of collective excitations that can occur in these metals [1414], and because of the onset of interband transitions at low energies. Ksendzov [147] calculated the dielectric function of the 3d metals, acting on the core electrons, taking into consideration the field and obtained a formula for the effective plasma frequency. He suggested that electrons in the 3d transition metal series can be hybrid- In the case of Sc and Ti, ized into bands as follows. 84 there is one band, giving rise to one plasmon in these metals. In V, Cr, and Mn, there are two bands, the conduction and the first 3d valence bands, giving two plasmons in the loss spectra, one corresponding to the conduction electrons (3 electrons/atom), and the other corresponding to the conduction and valence electrons together. In Fe, Co, Ni and Cu, there are three bands, the conduction band with one electron/atom, and two 3d bands; thus these metals exhibit three different plasmons. The first plasmon correSponds to the conduction electrons (one electron/atom), the second corresponds to the electrons in both the conduction and the second (unfilled) d-band, and the third corresponds to all (us+3d) electrons in the three bands. Ksendzov compared the results of this analysis with the existing EELS data of the transition metals, and found good agreement. With some reservations, the same argument could be applied to the 14d transition metals, due to the chemical and structural similarities of the 3d and lId transition metals. Figure lI.2 shows the optical constants [1le of Mo. 62 can be viewed as a monotonically decreasing function, complicated by interband transitions which start below 1ev. Our EELS measurements at regions of the Mosample with thicknesses (500R are also shown in Figure lI.2 on the same energy scale as the optical constants. The Mo sample was prepared by Jet thinning a 3mm diameter disc, cut from a 85 '3 O _‘m :§—’—-—— “x: \ | I I | I l | I I .... Optical — Lynch & Swan (Arb. Units) INTENSITY ENERGY (ev) Figure 18.2 Dielectric Function, Loss Function, and EELS of Mo 86 ZSII-thick, high purity Mo foil. For Jet thinning, we used a solution of 20% H280” and 80% Methanol at 0°C. The loss function, as calculated from the optical constants, and the reflection EELS of Lynch and Swan [140] are also shown in Figure 14.2 for comparison. Our data agree very well with the optical data below 30ev, in both the locations and widths of the loss peaks. The prominent loss in Lynch and Swan's data, however, is about 1.5ev lower. This is probably due to the existence of a surface loss at "20ev that is comparable in intensity to the prominent loss at “24.5ev and unresolved from it. The peak at '10ev in the latter study is higher in intensity than the peak in the optical or our measurements. This can also be explained as due to the higher probability of exciting the surface plasmon [38] at 9.uev [37] when using reflection EELS. The broad peak centered at u8ev in our data is the up (N23) transition. This peak consists of a large number of multiplets which are unresolved due to solid state band widths and to finite transition lifetime [75]. The peak at “36ev in the optical data is more pronounced due to a stronger coupling constant in the optical than in the EELS measurements, which results in a stronger multiplet intensity at this energy. Figure )4.3 shows our EELS data at thin (500ev) showed an oxide core structure at ‘530ev in places where the EELS structure differed from that for uncontaminated places on the sample. Our EELS data on contaminated pieces of V film differ considerably from the optical data of Weaver et al [37] in both the shape and positions of the peaks below 35ev. This suggests that the nature of contamination in the two experiments is different. This is not surprising, since the contamination of both samples was uncontrolled and V has several oxides [76]. Figure u.u compares EELS spectra on uncontaminated and contaminated regions of the V film. Figure u.5 shows our measurements on a 3003 Ni film, prepared by sputtering onto a Mica substrate, along with the measurements of Misell and Atkins, and optical measure- ments from reference [1“]. The agreement between our measurements and the others is fairly good below 3Sev. The optical data, however, show a sharp peak at ~IOev, which is observed as a shoulder or a slope change in transmission EELS INTENSITY Figure A." (Arb. Units) 90 Z} < f” a I ;‘. ‘3’" ~. I . a . ‘PW :. . = V M 2.3 I - '-, I II .' ". 4» o ’ 0‘ ’5‘. ’*K. 4’ he, 1' ‘ .M’. .3 J. ‘ .‘ v ' g "1“ Contaminated “‘3 ‘ ‘1‘ Uncontaminated ' M : ' M O FFIIIFFTFIIIrTrIIrrfIIIIIITIIIfIIIrIIIrIIIIIIIIrIf -5 15 35 55 75 95 ENERGY(ev) Contaminated and Uncontaminated V EELS Spectra EELS INTENSITY 91 Optical NI .a-g —— Misell & Atkins (Arb. Units) IIIIIIIIIIIIIIIIIUIIIIIIIIIIIIIIIIIIIIIITIIVI 0 15 35 55 75 ENERGY (ev) Figure “.5 Loss Function and EELS of Ni 92 EELS measurements. The reason for the higher intensity of this feature in the optical data is not clear. The step at ~67ev is the 3p (M2,3) transition. is; EELS of NiV Superlattices EELS measurements were performed in two different energy regions. In the energy region <100ev, the spectra show single particle interband transitions, volume, surface, and, perhaps, interface collective excitations, as well as transitions from 3p shells. In the energy range >200ev, we find the L2,3 transitions of Ni and V, as well as occasional evidence of K-edges of oxygen, - ‘i I: sir» m5” 1 I- .4 29 .<:» mv A . u: I” J’ ‘a ’4’. 1”! ‘43.. 1‘ .' .f a 2\ v NI .' ' 1'. a" 2, 3 \V NI M .o' a “x. 2.3 f“. 1 7% 1 . X ‘5 .3 '~. - \ .' "\ ‘Ww‘y‘t. -\ " \, A: 19 X /' ~1- _ / Pseudo Alloy NIV '5 Figure “.6 pseudo-alloy JIITIITIIIIITIIIIIIIIIIIIIITITIIIIIIIIIIIIIII 15 35 ENERGY (ev) 55 EELS of ANL 75 19K NiV Superlattice and NiV 96 spectra.lu3 form a "pseudo-alloy." The pseudo-alloy spectrum shown in Figure “.6 was constructed by adding a pure V spectrum to a pure Ni spectrum with intensity at the peak position of half that of the V spectrum. The factor (1/2) was obtained from comparing the values of the loss functions for Ni and V at the peak positions, as evaluated from transmission EELS measurements [“6]. Comparison between the characteristic EELS of the 193 sample euui the pseudo-alloy spectrum shown in Figure “.6 suggests that the growth of the low energy peak and the upward shift of the prominent peak in the 193 sample might be due to interfaces and/or interactions between the layers. In order to investigate these possibilities further, we studied several other samples with different periods. Figure “.7 shows typical spectra for all the measured samples from ANL, which we run: discuss in more detail. We started with the 803-period sample, which, because of its large A., we expected to be most like the pseudo- alloy. Indeed, in a piece of sample #X the loss spectra exhibited a shoulder or a slope change at 11-12ev, and a prominent loss at 20.511.0ev, with a hint of an additional shoulder at ~25-26ev. The loss peak at ~IIev in this sample was considerably lower in intensity than the peak in most of the measurements on the 193 sample, and much closer to the pseudo-alloy spectrunn The main peak was EELS INTENSITY (Arb. Units) 97 NIV t.- \ ‘Q .r 1" \ 1 c 3 ..r’ ‘ \W J 2.. Q’ .A a. \ ”:5,“ (~‘—/ ‘2 33’. . :‘W#M\“ \— 'J i . \xwuw ' “7 ‘\b) I J "v "Ra, 5‘ . . . , F I.“ - in... . ~ . In. I‘M.“- _. \‘f‘x a-st \ - *- " .Uax \ (a) h J a '1 “1.x 1 'v \. \.. I 1 5‘”, 2 \V\ A 8 19 R J ‘ I A .1. \V JJ -‘ .. \ . I " ‘x. “a. P. .. .J-r" 1‘ ‘ _‘KKJ A8 19 x I \J .1. \. 2" A‘\¢"—\_. I," “x '- -" o .. ‘. t ,r .5 A=353 ’5 3 ’ ‘ A=80X o \ NiV Pseudm IIIlIITIIjITTIIIIITTIIIIIITI'IIIIITIIIIIIITT—TIIIT -5 15 35 55 75 95 ENERGY (ev) Figure “.7 EELS of ANL NiV Samples 98 also at ~21ev like the pseudo-alloy. The shoulder at ~26ev is probably the remnant of the pure Ni 26ev peak which is also noticed in the pseudo-alloy spectrum. We next investigated a piece of the BSA-period sample #VI, which was taken off the glass substrate. The spectra exhibited a shoulder or a small peak at about 10.011.0ev and a prominent peak at “22ev. The peak at ~10ev was weaker than that of the 193 sample, but seemed to be stronger than the 80A sample, as indicated in Figure “.7 by the deeper shoulder of the feature in the 353 sample. To cross-check, another piece of the BOX sample #X was measured, and the results were consistent with the measure- ments on the first piece. So far it seemed that the 11ev peak grew in intensity as A decreased down to 193. It seemed a natural step to next measure samples with periods (193. Studying such samples is essential for the interpretation of the observed evolution of the “11ev peak, and the shift in energy of the prominent peak since, as noted in Section 3.2.1.8, the 153 sample looked amorphous when examined by XRD both by Khan et al. [19] and later by us. Thus, if the observed growth of the ~10ev peak was not due to interfaces, we would expect this peak to be stronger in the 153 sample than in the 193 sample. We would also expect the upward shift in the prominent peak position to increase in the 15A sample if this shift was not related to the structure of the 99 samples. So, we cracked a small piece of sample #I with 15K period and transferred it to the microscope in a folded Cu grid. EELS data showed a slope change at ~11-12ev and the prominent peak at 22.011.0ev. We went back and studied another piece of the 193 sample #IV. The spectra still showed a peak at “10.5ev, comparable in intensity in: the prominent peak at ~22.5ev. Then, a different piece of the ISA sample was measured. The spectra were consistent with the previous measurements. At one place, however, out of the 15 places measured in the two pieces, the spectrum showed a peak at ~11ev, comparable in intensity to the prominent peak at 21ev. We again went back and studied a different piece of the 193 sample (#III) to make sure that there were no measuring artifacts or other unknown effects. Measurements at four different places on this sample gave a strong peak at 10.“ and a prominent loss at 2“ev, consis- tent with the previous measurements on this sample. No significant contamination effects were observed in any of the above measurements. Thus the evolution of the peak at 11ev was tentatively attributed to interface plasmons. The interpretation seemed reasonable, since for large A samples, the number of interfaces per unit volume is small, so that we expect to find a smaller interface peak relative to the prominent bulk loss peak at ~21ev. As the period decreases down to 193, the number of interfaces per unit volume increases, and we expect to have a stronger 100 interface peak. The structural properties of the 15X NiV samples are not yet completely clear. Khan et al. [19] suggested that at such small periods there might be agglomeration in the Ni layers or alloying in the samples. The typical EELS data seem to be consistent with this suggestion, since, in either case, layering of the two metals would not occur, and the EELS data would not be expected to show interface effects. The one spectrum that showed a peak at ”11ev in this sample could then be interpreted as having been acquired from a local region which had reasonable layering. We later repeated measurements on other pieces of the various ANL samples, and, with an exception noted below, found results consistent with those described above. The largest variations in the data were observed in the 193 samples. These variations might be attributed to the fact that the sharp transition to an "amorphous" structure occurs Just below 193, and since this transition occurs within a layer thickness change of about one atomic layer, one would expect to find large local variations in 193 samples. These variations would "average out" as a coherent structure IJI the x-ray measurements due to the large beam size, but would appear in local measurements with the small (<503) electron beam size used for EELS. We subsequently measured thin samples (310003) with a wide range of periods that were newly prepared at ANL so as 101 in) provide larger thin areas for EELS measurements. The new samples were #V, VII, VIII, and IX (see Table “.1). The measurements on these samples gave results consistent with the previous results. The 193 sample gave a peak at 10.910.9ev and a peak at 2“:1.1ev; the “OK sample gave a shoulder at 11.1:0.3ev and a peak at 22.110.3ev; and the 60A sample gave a shoulder at 11.“:0.“ev and a peak at 22.010.6ev. Figure “.7 shows that the intensity of the ”11ev peak grew from a shoulder for large period samples, to a peak comparable in intensity to the prominent peak for 193 samples. It also shows that the prominent loss peak shifted up to “23-2“ev in the 193 sample, and back to ~22.5ev for the 153 sample. The spectrum at one place of the 153 sample that showed a strong peak at “11ev had a prominent loss peak at 21ev. As noted above, these results suggest that the peak at ~11ev is due to interface plasmons. The source of the shift of the prominent peak is less clear. we initially tentatively attributed this shift to charge transfer between the two metals. To check this possibility, we carried out measurements in the Ni and V L2,3 core regions (SOOSESIOOOev). In the next section, we will discuss the results in this energy range, and investigate their connections with the data in the low energy range (<100ev). To see how general was the behavior found in ANL NiV samples, we then prepared several samples at MSU. In the 102 first run, we prepared four samples. The sputtering conditions were set to obtain samples with periods varying from 15 to 303. All of these samples were prepared on freshly-cleaved NaCl substrates, and had a total thickness 500ev In this energy range, long acquisition times are reQuired for a strong signal. Large, thin areas are thus Preferred in these measurements, so that most of the 107 measurements were made on thin ((10003) NiV samples. In this energy range, EELS has the general form of a smoothly falling "background" which has been found experi- mentally to satisfy the relation: I(E) - A.E"" (“.3) where I(E) is the EELS intensity at energy loss E, and A and r are fitting parameters [70]. This background comes from different kinds of excitations, such as valence electron excitations to the vacuum, multiple plasmon losses, and tails of features at lower energies. On this. background is superimposed the inner shell transitions. These transitions are used to identify the elements in the Sample, since each core edge transition is a unique Pl" operty of the excited atom. This identification of ma terials is important, especially in the case of low 2 materials (Z<11) to which regular EDX is insensitive. In aC‘lciition, study of the edges reveals information about the electronic structure of the materials under investigation I: 78]. For quantitative analysis of a core edge, it is important to strip the rapidly falling background. Thus, we wrote a program that uses the least-squares method to £1 t ‘100ev of the pre-edge background, evaluate the pal“ameters A and r, and then subtract the intensity given by equation “.3 from the experimental spectrum. The core edSes of transition metals show two sharp lines, called "1'1 ite lines (WL), near the transition threshold [“9]. 108 Those lines arise from transitions from 3P3/2 (L3) and from 3P1/2 (L2) states to the unoccupied part of the 3d or “d band. The two lines are separated in energy by the spin-orbit splitting of the 2p states which is ~7ev for V and ~17ev for Ni. The WLs are superimposed on steps that correSpond to transitions from 2p states to the s-band. Thus, the L2’3 transition in Cu, which has a filled d band, is simply a double step as shown in reference [“9]. According to the (2J+1) degeneracy of the initial 2p states, we deduce that the ratio of the L3 to L2 transi- tions should be 2:1, because of the statistical weights of “ and 2 that the P3/2 and P1/2 states have [55]. This statistical ratio is observed in the case of Cu, but large deviations from this ratio are found in transition metals [“9]. To isolate the d-hole contribution to the edge structure, we extrapolated each step back to time peak of the WL, and drew a line perpendicular to the horizontal axis. This procedure is possible in the case of Ni, since the two steps of Ni are observable in the experimental spectrum. For V, we adopted an alternative procedure described Just below. The WL intensities as well as the height of the step used in our analysis are shown in Figure “.10. This analysis procedure was used for simplicity, since comparison between the results obtained in this fashion and results obtained by the more rigorous procedure 109 INTEN SITY(Arb.UnIts) ENERGY(ev) Figure “.10 Schematic Diagram of L2,3 Core Excitations in a Transition Metal 110 of assuming an arctangent line shape [79] for the 2p transition to the vacuum showed no significant difference :hi the intensity analysis of the WLs. The threshold for the transitions to the vacuum (i.e., the step cn* the inflection point of the arctangent) were aligned with the WL maxima because the Fermi energy position is nearly coincident with the WL peaks [80,81]. For the V spectra, where the two WLs overlap, we estimated the height of the first step by measuring the total height after the WLs, and assuming the statistical ratio 2:1 for the heights of the steps. This assumption is not perfectly accurate, but should be sufficient for our current purposes, since we use the same criterion for analyzing all the V core spectra, and we are interested primarily in differences in the spectra as a function of .A. The WL intensities were measured relative to the step height after the WLs, as will be briefly discussed in the next section. We first discuss the V core edge :hi pure II and NiV superlattices, and then the Ni core edge in pure Ni and NiV superlattices. “.3.2.A V Core Edge at 513ev Several spectra were collected for pieces torn off a pure V film of total thickness “1p grown on a Mica sub- strate. The pieces of the film were transferred into the microscope in.ai Cu-folded grid within ~10 minutes after 111 tearing, so as to minimize the effect of oxidation at the freshly torn edges to be used for EELS. We also studied pieces of'II film that were left at room temperature for several days in order to study the effect of oxidation on the spectra. Then we proceeded to study the superlattices. The areas under the WLs were measured using a plani- meter. The height (counts/ev) of the step after the WLs (at ~5“0ev) was used as a standard for the intensities of the WLs. The WL intensity relative to the step height was calculated. The ratio of the intensities of the WLs was found almost constant (”1) for all V and NiV samples; hence, in our analysis below, we used the sum of the integrated intensities (12’3-I2+I3) of the two WLs normal- ized to the step height. For pure, uncontaminated V, the intensity of the WLs was 13.3:3.1, and the ratio I3/I2 was 1.06:0.12. For contaminated V, the WL intensity was 1“.5:1.0 and the ratio was 1.06:0.10. These results showed that oxidation has little effect (“10%) on the WL intensities, and their ratio. We compared our results with those (intensity of 11.7:0.5, and ratio of 1.18:0.0“) obtained from the EELS Atlas [82], and found fair agreement. The data of Fink et al. [53] show a lower intensity (9.“:0.“) and a higher ratio (1.37:0.05) than either our data or that of the atlas. The data of Fink et al. stops at <535ev, in which case the measured height of the step might be a little too 112 high due to the tail of the L2 WL, which results in a lower intensity and a higher ratio. To compare the results for a large 1\ with those for pure V, we first measured a 603 NiV sample with total thickness “7003, prepared at ANL. This sample showed a WL intensity of 17.“:1.6, somewhat larger than for pure V, and a ratio of 1.01:0.07, in good agreement with pure V. One of the spectra showed a hint of oxygen K-edge struc- ture, and had a WL intensity of 15.1:0.8 and a ratio of 1.11:0.0“, both consistent with the data for contaminated v. New pieces of the ANL 10003-thick ANL 193 sample grown on NaCl substrate (#IV) were then measured to check for any systematic change with .A. The core spectra in uncontaminated regions showed a WL intensity of 21.711.“ and a ratio of 0.99:0.05. This suggests a strong depen- dence of the WL intensities on A . In the regions where we found evidence of oxidation, the WL intensity was 18.1:2.1, and the ratio was 1.13:0.16. Thus, oxidation cannot be responsible for the increase of the WL intensity from '13 for pure V up to ~21 for the 193 sample. As shown in Figures “.11 and “.12, the ANL samples show an increase in intensity of the WLs as we decrease the superlattice period down to 193. The horizontal lines in Figure “.11 represent a standard peak height to compare the intensities of the different spectra. Initially two possible effects were considered to EELSINTENSHY h” (Arb. Units) I i. b‘ , > ' u _ 5 i >0 L12 V L 2.3 .1 '- a ‘ : l x“ A=603 1&1», [I ......... Pure V 50'0"“5'1'6 """ 5' '2'b""'5'56""'546"r550 Figure “.11 ENERGY(ev) L2'3 Excitations of V 20 15 123 /h 10 Figure “.12 ZS ANL.&M*1£B C] MSUISMNEEB I I AJ. 1 I I I I L 0 10 20 30 40 50 60 70 80 90 100 Intensities of the V WLs in NiV Samples 115 interpret the results: (1) interface effects, in which case we expect a smaller WL intensity for the "amorphous" sample with A.-153, and the effect on the Ni WLs is unclear; and (2) charge transfer, in which case we expect a bigger WL intensity for A.-153 and also a reduction in the WL intensity of the Ni WLs--which we did not observe, as will be discussed in the next subsection. To see how the WL intensity changed as we crossed the superlattice-"amor- phous" boundary, we measured pieces of the 15 and 303 samples prepared at MSU, neither of which exhibited long range coherence in the x-ray structural analysis. The 153 sample gave a WL intensity of 16.“:1.0 and a ratio of 1.1“:0.1. The 303 sample gave an intensity of 16.2:2.7 and a ratio of 1.09:0.07. The data did not show any clear indication of sample contamination. To see if the WL behavior of thin 193 ANL NiV samples was reproduced in thicker samples, we measured several pieces of the “in thick 193 sample #III. The data showed an intensity of 15.“:2.5 and a ratio of 1.0“:0.12 in the uncontaminated regions, and an intensity of 17.0:2.3 and a ratio of 0.99:0.05 in the contaminated regions. These results show a lower intensity than what we would have expected from the 10003-thick, 193 sample. The data also exhibited large variations in the intensity of the WLs, which extended from that for pure V up to that for the 10003-thick, 193 sample, which might be correlated with 116 structural nonuniformity of the sample. The pieces of sample #III studied here were also studied in the energy range <100ev, and showed a considerably lower peak position than in sample #IV, as discussed in the previous section. So, there seemed to be a correlation between the prominent peak position in the plasmon excitation energy region, and the WL intensity. To investigate this possibility, we went back and analyzed three spectra taken at threer500ev, we found that most of the measured spectra showed a prominent main loss 123.5ev, and a WL intensity ~20. This apparent correlation between the prominent loss position and the WL intensity was only discovered near the end of our studies, and thus was not studied in detail for all measured samples. To compare the above results with those for samples with long range coherence prepared at MSU, the 5003-thick, 223 and 273 samples were measured. The 223 sample had a WL intensity of 12.9:1.o and a ratio of 1.13:0.07. The 273 sample had a WL intensity of 12.5:1.0 and a ratio of 1.19:0.08. The WL intensities of those two samples were similar to those for pure V. The prominent peak positions 117 of the low loss Spectra of those samples were ~22.5ev. These results support the previously noted correlation between time prominent peak position and the intensity of the WLs. In summary, the intensity of the V WLs increased as A decreased down to 193, and a correlation between the upward shift of the dominant plasmon peak and the WL intensity was observed. MSU samples showed WL intensities close to that for bulk V. These results suggest that the intensity increase of the WLs is an interface effect rather than a charge transfer effect. “.3.2.B Ni Core Edge at ~850ev Ni core-edge spectra are weak and require long acquisition times (“20 minutes) to obtain a signal with fairly low noise level. This acquisition time was often unavailable because the electron beam was unstable over such periods of time. Alternative techniques were also employed, such as repeatedly acquiring spectra using shorter acquisition times, and adding them in) give a stronger signal. This procedure, however, takes more than an hour to acquire one spectrum with a fairly low noise level, which limits the amount of data that can be acquired in a given working period of time. Measurements on a pure Ni, 3003-thick film prepared on a NaCl substrate at MSU, and on the cracked edges of a 118 pure Ni, ‘1p-thick film grown on Mica at ANL, showed a WL intensity of 6.510.? and a WL ratio of 3.5:0.7. The data of Fink et al. [53], as analyzed by us, showed an intensity of 6.0:0.3 and a ratio of 3.9:0.3. We also analyzed the data of Leapman et al. [“9] and found an intensity of 8.“:0.“ and a ratio of 3.6:0.2. These results show that our data agree well with Fink et al., and with the ratio of Leapman et al. The higher WL intensity of Leapman et al. might be chm: to surface oxidation, since their film was only ~903 thick, and hence, even a thin (“103) oxide layer on the surfaces of the film can have a significant effect on the intensity of the WLs. In contrast, the samples of Fink et al. were 600-10003 thick, and were prepared under a better vacuum. We measured SUperlattices with periods 193 (samples #111 and #IV prepared at ANL) and the 303 and 153 samples prepared at MSU. All of these superlattices showed a WL intensity between 6.5 and 8.0, and a ratio ~3.0. Although there were differences in the intensities or ratios from one sample to another, they fell within the uncertainty of the data. Figure “.13 shows typical Ni spectra of various samples. If charge transfer occurs from V to Ni layers, the Ni empty d-states would be expected to fill up and hence reduce the WL intensity considerably. No such reduction in the intensity was observed. These results leave the charge EELS INTENSITY (Arb. Units) 835 119 Nl L 2,, .I I a ' '. 0. a N a. ”3.3-1.. 5". "s. a . . a A=153 .0 I» e- » 1* o v + other ”If" +5...th e 006’" +.+ u. t + * 30" + O O A=193 x xx 1‘ x " xxx 1‘ {Xxx-(- at “In,“ x xi!“ xx x 1‘ 3 Xxx x X " Pure Ni VIII]iIrIIUIIIIIITIIIIIlIIIIllilillIIIII'IIIIIIIIIIIIiITIIIIlrilITT!T*I 855 875 895 915 ENERGY (ev) Figure “.13 L2,3 Excitations of Ni 120 transfer model unable to explain all of our experimental results. u.u EELS of NiMo Superlattices in the Energy Range <100ev Since Ni and Mo have essentially the same Pauling electronegativity (“1.8) [57], this system was chosen to investigate the relation between the upward shift in energy of the prominent peak in NiV system and the difference in electronegativity (i.e., possible charge transfer) between Ni and V (the electronegativity of V is ~1.6). Thus, if the shift of the prominent peak was related to charge transfer, we expected no such shift to occur in NiMo system. On the other hand, if the growth of the low loss peak was due to interfaces, we expected such growth in NiMo samples that showed layering in XRD studies. Several NiMo superlattices were prepared on Mica at ANL. The total thickness of each sample was ”1p. The periods of the different samples ranged from A.-1u to 1103. They thus crossed the superlattice-"amorphous" boundary which occurs somewhere between 19 and 1&3. A small piece (“1mm) from the middle of the large 1i (1103) sample was measured first. EELS spectra were obtained at twelve different spots around the cracked edges of the sample. The data showed a small peak at '10.310.3 ev, and a prominent peak at '2u.h10.2ev (Figure H.1u). The broad Mo N2,3 peak is centered at ~l16ev, and the Ni M2,3 EELSINTENSHW (Arb. Units) . _ _j- 1‘. I, . - inf-g (b ) . . . fl," ‘.- «LP-.N. ’.-' ' ~r: " - - - ’\u. ’1 I, \A' Mm ~ .— i . Ma (.1 g g - , aefifiqk ‘b 1"...“ 2 Fm ‘— ' - .’ .-' . ‘. . '\. ‘ A I r \. .r‘ " ' ‘- ' N“ J - - u- a . ‘ P .- J x .. . 3 -- we "‘5 -u-_ .-" ‘. .-' "' ‘2 \z 5““ A 193 \ e A" 2‘ n. \, .1. . . '_ ¢ —J“ r ‘s ,. .W—‘a NM d I as P.J ...- J . fl \h’.\ A: 3 0 x . " '\ ..\// 1“ WM“ J - :. W“ A- 110 X M h, 2V! 121 _- . - _ . 9.. S“, .\ M .J 'Jh_ .5 g I. NlMo )"fo 0 .V. s ‘ -"’ " ' M N . Q. I g .P. a o ,f v ,3 3 2. 3 I‘. I. :0 s. r. l o . ‘. Q' ‘ I. N' M 2 3 - . k . MA , ‘ ... 13" , ‘9’." “x, . z. .1 WI 1. ‘fi.’\ 1 ' '\ .545.- 's .- fi-L'ivfgp N o g I l NiMo Pseudo-Alloy IIIIIIIIIIIIIIIIIIIIIIIIIIIIIHIHIIHIIIIIIl—I‘r‘r‘n 5 15 35 55 7 95 ENERGY (ev) Figure 11.111 EELS of ANL. NiMo Samples 122 step is at “66.5ev. Figure H.1h shows that the positions of the peaks as well as the strength of the low energy peak are similar to those of a NiMo pseudo-alloy constructed in a manner similar to that for the NiV pseudo-alloy. A piece of the A -19R sample was then measured at 9 different places around its edges. The spectra showed 51 peak at ~9.1:O.Uev which was stronger than the correspond- ing peak in the pseudo-alloy spectrum, and a prominent peak at 2h.3:0.1ev (Figure n.1u). The position of the prominent peak in tune 193 sample was the same as for both the pseudo-alloy and the 1103 sample, but the low energy peak was shifted down by '1ev. ‘ha check an intermediate value of A , we measured a piece of the A -303 sample. The data at nine different places around the edges of this piece exhibited a peak at 9.5:0.6ev and a prominent peak at 2H.3:0.2ev. As shown in Figure n.1u, the relative intensity of the low energy peak for the 303 sample was between those for the 19 and 1103 samples. A piece of the sample with 1H3 period, which showed EH1 "amorphous" structure in XRD measurements, was then measured at 17 different places around the edges. At 15 different places we observed a weak shoulder in the EELS spectra at 9.8:p.uev and a prominent peak at 2n.u:0.2ev. At two other places, the spectra showed a larger peak at 9.110.1ev, with the prominent peak still at 2u.u:p.2ev. Figure H.1H contains one spectrum (a) representative of the 123 15 spectra with only a weak peak or shoulder at 9.8ev, and one (b) of the two spectra that showed a stronger peak at ”9.1ev. To test the reproducibility of the data, we studied a different piece of the 19K sample at 25 different places. At 17 of these places, the spectra exhibited a strong peak at 9.210.7ev, and a prominent loss peak at 2A.3:p.2ev. Those two peaks were of comparable heights. The spectra at four places showed a shoulder at 10.u10.uev and a prominent peak at 2h.u10.2ev. At the remaining four places, the spectra showed a strong peak at 9.110.3ev and a prominent loss at 23.210.3ev. Thus, 8A; of the measured spectma showed a peak at about 9.2ev, in excellent agreement with the previous measurements on the first piece of this sample. The downward shift in energy of ~1ev of the prominent peak in 16% of the new measurements had not been observed anywhere in the previously measured samples with the various periods. The appearance of a shoulder at 10.uev rather than a strong peak in 16% of these measure- ments was also not observed in the previous measurements on the first piece of this sample. These last spectra are essentially the same as the spectra of the 1&3 sample, and are tentatively attributed to intermixing of the two metals in the sample at these places. The statistics, however, show that the majority of the spectra agree very well with previous measurements. 12” A different piece of the 1103 sample was then measured to cross check the previous results. Measurements on 15 different places showed a small peak at 10.510.3ev and a prominent peak at 2u.510.1ev. Those results were in excellent agreement with the previous measurements on this sample. The above results show the following for the ANL samples: 1) The prominent peak stayed fixed at 2u.u:0.2ev for all superlattices regardless of their periods, except in “10% of the measurements on the 193 sample where we observed a ~1ev downward shift. 2) The low energy peak generally grew in intensity as the period decreased down to 19K, below which it went back down to an intensity equal to that of the large period sample. 3) The position of the low energy peak shifted from 10.3ev for the large period sample down to 9.1ev for the 193 sample. The position of this peak was ‘9.8ev in those 1AA sample spectra that showed only a small peak or a shoulder, but was 9.1ev for those spectra that showed a stronger peak. Although the prominent peak positions in NiV and NiMo systems are consistent with the interpretation of the upward shift in NiV system as due to charge transfer, this model does not explain the fact that in the 153 NiV sample 125 the prominent peak went back to the position of that for large period samples. The growth of the ~1Oev peak as A decreased from 1103 down to 19K is consistent with this peak being due to interface plasmons, as discussed in conjunction with the NiV data. When we went further down to 1AA period, most of the sample regions were not layered, as indicated by the XRD data on this sample. Thus, we did not expect to observe the strong peak at '9ev, which we observed in most of the spectra of the 193 sample. The two places on the sample where we observed a stronger peak at 9.1ev can be thought of as local places where well-defined layers give rise to a stronger low energy peak. The shift in the low energy peak from 10.3 down to 9.1ev might be due to interface coupling. It could also be, however, that this shift is an artifact of the super- position of the ~9ev and the ”Zuev peaks. Upon superposi- tion, the tail of the prominent peak pulls the apparent position of the 9ev peak to higher energies; the stronger is the 9ev peak is, the smaller is the upward shift in its position. Since there was a sharp transition in both the EELS and the XRD data in going from 193 to 1H3 periods, we prepared at MSU samples with periods ~203 and samples with periods “1&3 on Mica and NaCl substrates. Each sample had a total thickness of ~10003. Structural x-ray analysis of 126 the nominally 203 samples indicated that they actually had periods of 233 (for the sample on Mica), and 223 (for the sample on NaCl). The two samples which were intended to have a period of ~1113 showed an amorphous XRD pattern, as anticipated. A piece of the 2&3 sample on Mica was taken off the substrate and transferred to the microscope in a Cu folded grid. Thin regions ((10003 thick) around the edges were measured at 10 different places. EELS spectra at six of these places showed a shoulder at 11.810.2ev and a promi- nent peak at 23.310.2ev. At four places, the spectra showed a strong peak at 10.810.7ev, and a prominent loss a 2H.3:0.1ev. The peak at 10.8ev was not as strong as those of the 193 sample prepared in ANL. We floated a piece of the 223 sample on water and picked it up on a T1 grid. The sample was measured at six different places. At two of these places we observed a strong peak at 10.710.2ev and a prominent peak at 2u.2:0.3ev. The other four spectra exhibited a small peak or a shoulder at 11.110.2ev and a prominent peak at 2M.8:0.5ev. From the measurements on pieces of both samples prepared at MSU, we see that the position of the prominent peak is in excellent agreement with the data of the samples prepared in ANL. The postion of the low energy peak is, however, considerably higher than that of the previous 127 measurements. The results CH1 these two MSU samples showed the following: The position of the low-energy peak in those spectra that showed a strong peak was the same in both samples, while in those spectra that showed a small peak or a shoulder; it was lower in the sample prepared on NaCl than in the sample prepared on Mica. As in the previous measurements, the shoulder (or small peak) positions are higher than those of stronger peaks. The above data show that all samples prepared at ANL and at MSU exhibited a prominent peak at “Zuev, which suggests that the position of this peak is not affected by the structural properties of the sample. The growth of the low energy peak is strongly correlated with A and with the structural coherence of the samples. The shift in the position of the low energy peak is also correlated with the strength of the peak (peaks with higher intensity are lower in energy). The low energy peaks for MSU samples are higher in energy (“1ev) than those for ANL samples, which means that the downward shift of this peak is sample and structure dependent. CHAPTER FIVE SUMMARY AND CONCLUSION This thesis consists of characterization of NiMo and NiV superlattices and measurements of their EELS. To characterize the samples, we used three different tech- niques: a) EDX to study the local composition of the samples at different places. b) XRD to study the structural characteristics of the samples perpendicular to the layers. c) SAD and MD to study the in-plane structural characteristics of the samples. EELS measurements were carried out in two energy regions: <100ev to study bulk, surface, and interface plasmons, and >500ev to study core-level excitations. We studied NiV samples with periods ranging from 15 to 803 prepared an: ANL and with periods from 15 to 303 prepared at MSU. We also measured NiMo samples with periods from 1n to 1103 prepared at ANL and with periods of “203 prepared at MSU. In both systems, the samples crossed the superlattice-to—"amorphous" boundary below 193. a) EDX generally showed a uniform Ni-to-V or Ni-to-Mo ratio, although occasionally we found variations in the ratio of the two constituents. b) In agreement with previous work, XRD data showed a 128 129 slight expansion in the average d-spacing perpendicular to the layers as .A decreased down to ~193, and a sudden contraction for the "amorphous" samples back to the expected bulk value. c) SAD and MD showed local variations, especially in samples with A. near the superlattice-"amorphous" boundary. XRD and electron diffraction measurements on MSU samples showed smaller coherence lengths perpendicular to the layers and smaller crystallite sizes parallel to the planes than for the ANL samples. EELS data on ANL samples with large A were similar to those for a NiV pseudo-alloy, corresponding in: an appro- priately-weighted sum of spectra for pure Ni and pure V. As A decreased to ~193, three effects were observed in the typical data on ANL samples: a) An 11ev shoulder in the spectra for large A samples developed into a peak which grew with decreasing A until it was comparable in height to the main peak located at ~Zuev. b) The main peak shifted upward from ~21 to ~211ev. c) The normalized V White Line (WL) intensity increas- ed by about 50%. The EELS of the 193 samples showed substantial local variations; in some places, instead of the behavior defined above, both the low energy peaks and the WL intensity were similar to those for the pseudo-alloy. EELS 130 data on the 153 "amorphous" samples were generally similar to those of the pseudo-alloy; however, in one place the spectra showed a strong peak at ‘11ev, just as in the 193 sample. When both low energy peaks and WLs were measured, a correlation was observed between the upward shift of the position of the prominent plasmon peak and the increase in the V 1“. intensity. The Ni WL intensity did not show a significant change with Al. All the bum] NiV samples had EELS spectra similar to those for the pseudo-alloy, regardless of A or whether the sample showed superlattice or "amorphous" x-ray structure. As in the case of NiV, ANL NiMo samples with large A had EELS spectra similar to those of a NiMo pseudo-alloy, with a small peak at ~10ev and a main peak at ~23ev. As A decreased down to 193, the ~10ev peak typically grew in height and shifted downward to ”9ev. The prominent peak remained fixed at ~211ev. Typical spectra of the 1A3 sample were similar to those of the pseudo-alloyu .Again, some variations in spectra were observed; at some places in the 19A sample the spectra were similar to the pseudo-alloy, and at a few places in the 133 sample the spectra were like typical spectra for the 193 sample. EELS measurements on MSU NiMo samples of nominal period “203 showed no consistent behavior; rather, the spectra were distributed between typical spectra of the ANL 19 and 143 samples. 131 In both NiMo and NiV systems, the growth of the ”10ev peak is attributed to excitations of interface plasmons. Although charge transfer provides a potential explanation for the increase in intensity of the V WLs as it decreases, and possibly also for the upward shift of the (“21ev) plasmon peak, it explains neither the fact that the intensity of the Ni WLs did not decrease nor the fact that the prominent peak shifts down when we cross the superlat- tice-"amorphous" boundary. The downward shift of the “10ev peak in ANL NiMo samples is attributed to a strong inter- face plasmon at “9ev which dominates the original weak plasmon peak in the pseudo-alloy spectrum. In summary, in going from superlattice to "amorphous", the ANL samples typically show unusual behavior, tHDth in structure and in EELS measurements. The samples with A. near the superlatticeé"amorphous" border show strong local variations from the typical behavior. Those variations are not observed on a macroscopic scale in XRD studies, but are observed 131 the local studies ayailable in the FE-STEM. Thus we conclude that, on a microscopic scale, the samples with A703 are not uniform. The FE-STEM is a powerful tool to probe local variations and nonuniformities in such samples. NiV samples prepared at MSU did not support interface plasmons, since the spectra of all samples were similar to those of the amorphous ANL sample. Thus, the interfaces of 132 MSU NiV samples are apparently not as sharp as those from ANL. MSU NiMo samples, on the other hand, showed at different places behavior similar to both the crystalline and amorphous ANL samples, which suggests that MSU NiMo samples have local regions with reasonably sharp inter- faces. APPENDIX Appendix A The FE-STEM The Field Emission Scanning Transmission Electron Microscope is an instrument dedicated for near-atomic resolution. In 1971, A.V. Crewe and his collaborators [83] first realized the concept, and later constructed the ultra high vacuum (UHV) instrument, in addition to the electron source. The first instrument was the size of a small suitcase, and was easily evacuated to UHV. To change the sample, however, required that the instrument be taken apart, and hence the instrument was impractical for the study of several samples within a period of a day. The principle of Crewe's microscope is illustrated in Figure A.1. A.1 The VG H8501 FE-STEM [8U] UHV FE-STEMs are now commercially available. The optical column of the Vacuum Generators (VG) model H8501 FE-STEM instrument used in the present work is shown in Figure A.2. This instrument consists of two basic units; (a) the electron optical column; and (b) the electronics console. In this section these two basic units are briefly reviewed; for more details, the reader is referred to the V0 Operation manual. 133 13a Focused Electron beam Display CRT Generator sample Elastically Scattered ‘r’ Electrons Signal __ E::3 Amplifier Inelastically __, Scattered and Non-interacted Electrons Detectors / Spectrometer Figure A.1 The Principle of the FE-STEM 135 WON SPEC! Roman AND BRIGHT FIE—DD DETECTOR DETRACUON 5m / mommosmcron- _‘E—E . 3---- mmwrm . '- - OUTGASSING noun MICBODIITRACHON AND BEAM TILT l | -- ' COIL WY ' . ! osmcnv: SHGMATOR\ _ _mmcmmummmm DMONAPERTURE ‘ | , ma“ . M ‘ SCAN AND ALIGNMDJT ' COIL ASSEMBLY commsnmmmcuu 0011.555th \ 3 a ! GUN ISOLATION VALVE HIGH BRIGHTNES ‘- - ‘- F'm EMISSION GUN\ _7 I 5}: _ll Wild Figure A.2 Schematic Diagram of the Electron Optical Column in the FE-STEM m‘RON SPECXROm AND BRIGHT rm DEX ECTOR prnumnowamnm ,/ ANNULARDARKFIEDDEI'ECTOR; é : ',-__- mummm - .unmummrumnv mmmxmwamnumnuomumrnm ‘1 '" omLusammx . ! tnmcmmsmmunm“ _ _omunwtumxnm: mnmunumananms ‘ . mm , M o P-_-- ' J F l gannxnaucmman : , . comnsmmmx l 3 l I , . l . l _| man comnmamsncmxnmauocun : mannmtcomasmmmx.2‘~ : 1 GUNBmJflmNVMNE I mcnnmcxnnss ~-- nunzmsmouamw\ If #11 ‘ iii Figure A.2 Schematic Diagram of the Electron Optical Column in the FE-STEM 136 a. The Electron Optical Column: This contains the electron gun at the bottom, and the apertures, detectors, etc. above it, as shown in Figure A.2. The UHV column consists of two vacuum sections that are pumped using different mechanisms, and can be isolated from each other by means of the gun isolation valve. Those two vacuum sections are (1) the gun chamber, maintained at pressure P“1O'11mbar, and pumped by an ion pump/Ti sublimation pump, and (2) the specimen chamber, maintained at P<10"9 mbar, and pumped by a diffusion pump/Ti sublimation pump. During operation the Ti sublimation pump is turned off. The diffusion pump is backed by a mechanical pump, and cooled by a liquid Nitrogen trap that also works as a cryopump. The electron gun consists of a single crystal Tungsten wire sharpened to ai‘tip of curvature "10003 [18]. It is mounted on a support wire that can be used for occasional cleaning of the tip by passing a short-duration current through it. The field emission current of the tip can be monitored by applying an appropriate voltage between the tip and the first "extraction" anode. This voltage is typically (H.5KV, and can give a source brightness up to 109Amp./cm2 steradianm .A second anode accelerates the electrons. The voltage between the tip and the second anode can be varied either continuously from 5-3OKV, or from 20-100KV in steps of ZOKV. Since the real emitting 137 region of the tip is ~1003, this gun assembly can produce an electron beam of 2503 in diameter. The beam size can be further reduced to <53 using the double condenser lens system, C1 and C2. Those two electromagnetic lenses are external to the vacuum, and are water-cooled. In selected area diffraction mode, they are used to focus the diffraction pattern. In the low magnifi- cation mode, they are used to focus the beam on the sample. The third lens is a high excitation objective lens. It is partially inside the vacuum, and is water-cooled. It is used to focus the beam on the sample in the normal imaging mode. The imperfect axial symmetry of the magnetic lenses give rise to astigmatism [70]. Hence, stigmators are needed for high resolution imaging. In the FE-STEM there are two octopole stigmators. The gun stigmator is an 8-pole electromagnetic stigmator used for stigmating the gun/condenser system. This stigmator is important in low magnification and in selected area diffraction mode. The objective stigmator is an 8-pole electrostatic stigmator used to correct astigmatism in the objective lens region. This is important for high resolution imaging. The electron beam can be scanned before it strikes the sample. The scanning assembly coils produce a double deflection of the electron beam that permits the scanned beam to be rocked about the objective aperture in the 138 imaging mode, or about the selected area diffraction (SAD) aperture in the SAD mode. These coils are situated between the objective and the condenser lenses, and are external to the vacuum. The beam can also be scanned after it leaves the sample, using the microdiffraction (Grigson) scan coils situated above the sample stage. This coil assembly consists of two sets of double deflection coils. One is used to produce the microdiffraction pattern, and the other to align the bright field image. The coil assembly is bellowssealed, and must be taken out during specimen changing. Four different sets of apertures are fitted to the column. Each aperture mechanism is a bellows-sealed mechanism with micrometer adjustment for fine control of the aperture position in the horizontal plane. The positions of three of these mechanisms are shown in Figure A.2. The diffraction aperture is used to define an area on the sample from which a Selected Area Diffraction (SAD) pattern is obtained. The smallest area that can in: measured is ~0.3u, achieved with a 10p aperture. Larger areas can be measured using 50, 100, 100u) objective aperture is required, in addition to a large (>1mm) collector aperture. This choice, however, results in loss of energy resolution in the energy loss spectra. The collector aperture defines the acceptance angle of the electron spectrometer. Small apertures are used for high resolution signals. The virtual objective aperture (VOA) is optically conjugate to the objective aperture, and is situated between the electron gun and the double condenser lens system. Together with the SAD aperture, it is used instead <3f the real objective aperture for x-ray microanalysis. This eliminates the huge Cu x-ray line coming from the 0A blade after being illuminated by stray electrons. On top of the column a 90° magnetic sector electron spectrometer is fitted. This is suitable for the study of energy losses up to 2Kev. The exit slit width is adjust- able by means of a bellows-sealed micrometer drive. The spectrometer entrance angle is defined by the collector aperture size. The spectrometer output is detected by the bright field detector. The energy resolution is defined by 130 the collector aperture and the slit width. The bright field detector consists of a scintillator/ photomultiplier/pre-amplifier assembly situated just after the exit sli¢;<3f the spectrometer. It collects the electrons after being analyzed by the spectrometer, and hence provides the video signal for the bright field image, energy loss spectra, selected area, and microdiffraction. The annular dark field detector consists of a scintil- lator and a light guide inside the vacuum, and a photo- multiplier/preamplifier assembly external to the vacuum. 'It has a hole in it so that the forward scattered beam with scattering angle (NOmrad. will pass through. The annular dark field detector collects electrons suffering large angle elastic scattering (i.e., Bragg reflection from crystal planes). An energy dispersive x-ray (EDX) spectrometer is fitted for microanalysis. The detector is Lithium-drifted Silicon (SiLAJ. It is continuously maintained at liquid Nitrogen temperature, since appreciable periods of warm-up result in changing the detector characteristics [85]. Specimens are loaded into the top entry stage by means of an air lock, which can be isolated from the specimen chamber and pumped using the roughing and then the diffu- sion pump. A cold stage is fitted to pass cold Nitrogen gas to the specimen area, lowering the specimen temperature to about 150K. This is essential to minimize the migration 1H1 of surface contaminents to the spot being measured. b. The Electronics Console: This console is modular in design, and in many cases can be controlled externally by computer. It contains the necessary control and display modules. Mechanical shift and tilt controls are located in the desk top attached to the console. These controls are necessary for moving from one region to another on the sample while measuring, and also for diffraction studies. There are three monitors in the console. Two are normally used for bright-field and dark-field emission, and the third is used with a polaroid camera to take pictures of images or diffraction patterns or energy loss spectra from the monitor screen directly. In the remaining part of this section, some functions in the electronics console are discussed. For further details, the reader is referred to the V0 Microscope operation manual [8“]. 1. The Time Base Fwdule: This unit generates smooth line and frame scan wave forms. It controls both the electron beam in the column and the displays. Line and frame speeds are controlled by front panel switches. TV rate scanning may be selected by a pushbutton control. The following modes are controlled by this module: LOCATE: This facility provides a square spot marker on all three monitors. Its position in AREA mode determines the position of the beam in the SPOT and SPECTRUM modes, and the Y-position of a line scan in LINE mode. The LOCATE 132 is selected by means of a push-button, and the position of the marker is varied using front panel X and Y dials. AREA scan: At all available speeds, this is used in imaging and diffraction modes. LINE scan: Ii single horizontal line is scanned with the video signal producing a vertical deflection on the displays in a manner similar to the function of a micro- densitometer. The speed of the line scan is determined by the frame speed, and the position by the Y-position of the LOCATE marker. This feature is important for electron diffraction analysis in cases where the crystallites are small and the diffraction rings (in polycrystalline materials) are run: very sharp. Thus, locating the LOCATE umrker at the central spot and going to LINE scan mode using the push-button control produces a set of peaks surrounding an intense central peak (as will be discussed later). SPECTRUM: The beam is static on the specimen, but a line scan drives the displays. This line scan is usually used to scan the output of the bright field detector, and the resulting video signal is used to produce a vertical deflection of the line on the display. This mode is used to optimize the control settings for energy loss measure- ments, and thus, an energy loss spectrum from the region of the sample marked by the LOCATE spot is displayed on the monitor screen being used for bright field signal det pos mea bea the Sig the t0 the ex. COT COT DU: Cor 1H3 detection. SPOT: The beam is static on the specimen at the position of the LOCATE marker. This mode is used for measuring regions of the sample as small as the size of the beam. REDUCED AREA: This reduces the area scanned on both the sample and the displays. This mode gives an improved signal/noise ratio. It is also used to measure parts of the sample displayed on the monitor. RECORD: The two (left and right) RECORD push-buttons to the left of the monitor screens select which image on the monitors is simultaneously displayed on the photograph- ic monitor. The display and beam scans can be driven by external analog or digital scan wave forms. 2. Magnification-Diffraction Module: This module contains two identical and independent magnification controls for normal imaging. Those may be selected by the push-buttons TM and M2. The push-button SA selects the condenser lenses for SAD. The camera length [18] is varied by switched and continuous fine controls. The MICRO push-button selects the microdiffraction mode. The condenser lenses settings in this mode are similar to those for normal imaging. The ROTATION dial continuously rotates the scan on the sample through 360°; this allows the observation of image at any angle» It also allows the pick-up of asymmetry in the ring diffraction pattern when INC 3212 si‘ CO 931 er 1AA the visually more clear line scan is used. 3. Alignment and Shift Module: This module contains two basic units; viz., the alignment controls and the analog spectrometer controls. Alignment: This unit drives the alignment coils situated in the scan coil assembly. They are used for co-aligning the optical axes of the gun and objective lens. Energy analyzer: This unit controls the current in the energy loss spectrometer. SCAN WIDTH Switch: It controls the energy range of the energy loss spectrum. A push-button allows the OFFSET facility, which enables one to acquire a spectrum that starts at a certain energy that can be chosen using dial controls. 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