--;r . is, LIB 1A A L It . .g a Michigan State sf University This is to certify that the thesis entitled THE PREPARATION AND STRUCTURE CHARACTERIZATION OF SmSYBrl3 presented by Paul Anthony Pezzoli has been accepted towards fulfillment of the requirements for Mo 5. - degree in - $3er \ 7 Y Y M aj professor Date )ZG’UT 01 /77'f7 0-7639 THE PREPARATION AND STRUCTURE CHARACTERIZATION OF Sm YBr 5 13 BY Paul Anthony Pezzoli A THESIS Sumbitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Chemistry 1977 ABSTRACT THE PREPARATION AND STRUCTURE CHARACTERIZATION OF smSYBr13 BY Paul Anthony Pezzoli A unique compound, SmSYBrl3, was prepared upon the reaction of samarium metal with samarium tribromide and yttrium tribromide. This samarium yttrium bromide phase was identified and characterized by analytical techniques and X- ray diffractometry. The gray-black product was found to exhibit monoclinic symmetry. The space group for this compound is C2/c. Unit cell lattice parameters calculated by least squares regression analysis are: a = 44.310 x A and O O A, E = 7.139 r 0.008 A, E = 7.651 + 0.007 1 4 2 l ‘ 5 0 angle g = 98.451 i 0.068 . This phase was identified as a 0.05 member of a class of compounds of the general formula Mnx2n+l where n=6, which exhibit a vernier-type structure. Single crystals of SmsYBr13 were prepared for future struc- tural analysis. Attempts to prepare the hafnium analog, SmSHfBrl3, were unsuccessful. ACKNOWLEDGEMENTS The author wishes to express sincere appreciation to Professor Harry A. Eick for the guidance, patience and assistance he provided during the course of this research. My parents are acknowledged, in particular for their encouragement and hOpes in the attainment of this educational goal. The members of the High Temperature Group are acknowledged for their help and fruitful discussions. Appreciation is extended to Lisa Ittner, who spent many long hours typing this manuscript. Finally, the financial and moral support of The Dow Chemical Company and, in particular the management of the Central Research Inorganic Laboratory, is most gratefully acknowledged. ii Chapter I II III TABLE OF CONTENTS INTRODUCTION . . . . . . . . . . . BACKGROUND AND THEORETICAL CONSIDERATIONS. PREPARATION OF RARE EARTH HALIDES. Rare Earth Trihalides . . . . Rare Earth Dihalides. . . . . Single Crystal Preparation. . Mixed Valence Rare Earth Halides. STRUCTURAL INFORMATION . . . . . . Samarium Tribromide . . . . . A. Anhydrous Samarium Tribromide B. Samarium Tribromide Hexahydrate Samarium Dibromide. . . . . . A. Anhydrous Samarium Dibromide. B. Samarium Dibromide Monohydrate. Mixed Valence Samarium Bromide. Yttrium Tribromide. . . . . . Hafnium Tetrabromide. . . . . EXPERIMENTAL PROCEDURES. . . . . . CHEMICALS AND MATERIALS. . . . . . HANDLING PROCEDURES. . . . . . . . iii Page 10 10 10 10 10 ll 11 ll 14 15 15 Chapter Page PREPARATIVE PROCEDURES. . . . . . . . . . 15 Anhydrous Samarium Tribromide. . . . 15 Reduced and Mixed Valence Samarium Bromides . . . . . . . . . . . . . . 18 A. Sealed Containers. . . . . . . . 18 l. Samarium Dibromide . . . . . 18 2. Sm6Br13. . . . . . . . . . . 18 3. SmSYBrl3 . . . . . . . . . . 19 4. SmstBrl3. . . . . . . . . . 19 B. Open Containers. . . . . . . . . 20 l. Samarium Dibromide . . . . . 20 2. SmGBrlB. . . . . . . . . . . 21 3. SmSYBrl3 . . . . . . . . . . 21 4. SmSHfBrIB. . . . . . . . . . 21 Samarium Tribromide Hexahydrate. . . 22 Samarium Dibromide Monohydrate . . . 22 Yttrium Tribromide . . . . . . . . . 22 Single Crystal Preparation . . . . . 23 ELEMENTAL ANALYSES. . . . . . . . . . . . 23 Samarium Oxide Bromide . . . . . . . 23 Metal Analyses . . . . . . . . . . . 24 A. Conversion to Oxide. . . . . . . 24 B. Atomic Absorption Spectrosc0py . 24 Bromide Analyses . . . . . . . . . . 25 A. Volhard Titration. . . . . . . . 25 . 26 B. Atomic Absorption Spectrosc0py iv Chapter Page x-RAY POWDER DIPPRACTION PATTERNS. . . . 26 IV RESULTS. . . . . . . . . . . . . . . . . 28 ELEMENTAL ANALYSES . . . . . . . . . . . 29 x-RAY POWDER DIFFRACTION ANALYSES. . . . 29 CALCULATION OF LATTICE PARAMETERS. . . . 31 SINGLE CRYSTAL PREPARATION . . . . . . . 36 v DISCUSSION . . . . . . . . . . . . . . . 37 VI CONCLUSION . . . . . . . . . . . . . . . 46 REFERENCES. . . . . . . . . . . . . . . . . . . . 49 APPENDICES. . . . . . . . . . . . . . . . . . . . 53 Table II III IV VI LIST OF TABLES Metal Halide Compositions Defined by the Series Mnx2n+l . . . . . . . . . . . . . Structural Information on the Samarium Bromides . . . . . . . . . . . . . . . . Analytical Results of Several Samarium Bromide Phases . . . . . . . . . . . . . Properties of Space Group C2/c . . . . . Data on SmSYBrl3 . . . . . . . . . . . . Comparison of Lattice Parameters of Sm6Br13 and SmSYBrl3 . . . . . . . . . . vi Page 12 30 32 34 35 Figure LIST OF FIGURES Page The Vernier Structures of SmSBrll, SmllBr24 and Sm6Brl3 (As Outlined in Table II). . . . . . . . . . . . . . . . 13 Samarium Bromide Preparation Apparatus . 1? Representation of Space Group C2/c . . . 33 Projection of M6Xl3 on (001) (Space Group IZ/a). . . . . . . . . . . . . . . 41 Metal Atom Coordination in the M6Xl3 Lattice. . . . . . . . . . . . . . . . . 43 vii Appendix A LIST OF APPENDICES The Positional and Thermal Parameters Of smBrz O .0 O O O O O O C O O C O O I The Positional and Thermal Parameters of SmsBrll. . . . . . . . . . . . . . The Positional and Thermal Parameters of Sm6Brl3 and SmSYBr13 . . . . . . . X-Ray Powder Diffraction Pattern of Tetragonal SmBrz. . . . . . . . . . . X-Ray Powder Diffraction Pattern of Orthorhombic SmBrZ-HZO. . . . . . . . X-Ray Powder Diffraction Pattern of Orthorhombic SmBr3..a . . . . . . . . X-Ray Powder Diffraction Pattern of Monoclinic SmBr3-6H20 . . . . . . . . X-Ray Powder Diffraction Pattern of of Tetragonal SmOBr . . . . . . . . . X-Ray Powder Diffraction Pattern of Vernier SmsBrll . . . . . . . . . . . X-Ray Powder Diffraction Pattern of Vernier Sm6Br13 . . . . . . . . . . . X-Ray Powder Diffraction Pattern of Monoclinic YBr3 . . . . . . . . . . . X-Ray Powder Diffraction Pattern of Vernier SmSYBrl3. . . . . . . . . . . X—Ray Powder Diffraction Pattern of cubic HfBr4 O O O O O O O O O O O O 0 Least Squares Refinement of SmSYBrl3 Lattice Parameters. . . . . . . . . . viii Page 53 54 55 56 57 58 59 61 62 64 66 67 69 70 CHAPTER I INTRODUCTION INTRODUCTION During the past decade the preparation and character- ization of lower valence and mixed valence compounds have received considerable attention. Much of the research effort has been concentrated in the area of the rare earth halides. Stable reduced valence metal halides have been studied extensively and are reviewed by Corbett.l’2 Many systems studied recently can be defined by a homologous series MnX2n+l where M is a rare earth metal and X is a halide. Compounds in the series exhibit a complex vernier- type structure. Several of the mixed valence rare earth halides have been characterized and their structures determined by single crystal x-ray structure analysis.3 Others have been prepared as polycrystalline phases and the resultant struc- tures determined from powder diffraction patterns. One such system is the SmBrx system which has been studied in detail by Haschke.4 He could not isolate Single crystals of the compounds. The inability to prepare single crystals of Yb6C1l3 was reported by Lfike and Eick.5 Single crystals of the desired structure were obtained only after Er3+ was par- 3+ in the preparation. Erbium was tially substituted for Yb chosen for the system because its ionic radius was similar to that of ytterbium. 3 The objective of this work was to study further the SmBrx system, and more specifically the compound Sm Br . 6 13 As in the YbClX system, it was thought possible to prepare and isolate single crystals of this structure if another ion Of similar ionic radius was substituted for samarium in the lattice. Substitution of a transition metal into the lattice of a rare earth halide could result in the deter- mination of the site symmetry of the trivalent and divalent metal ions since the electron density of a first or second row transition metal is significantly less than that of a rare earth metal. The metals used in this investigation were yttrium and hafnium. Attempts were made to prepare the compounds SmSYBrl3 and SmstBrl3. X-Ray powder diffraction analysis was used to determine if these compounds exhibited the same structure as Sm63r13. CHAPTER II BACKGROUND AND THEORETICAL CONSIDERATIONS PREPARATION OF RARE EARTH HALIDES Rare Earth Trihalides Aqueous solutions of rare earth trihalides can be readily prepared. However, only highly hydrated products separate from these solutions (uSually six moles of bound water). Most of the water can be removed through dehydra- tion at low temperatures but the last mole is difficult to remove without decomposing the halide to the oxide halide. In the past few years many methods have been developed to produce relatively pure anhydrous rare earth trihalides. Most of the preparative procedures involve the trichlorides. Matignon6 first described the preparation of rare earth trichlorides by dehydration of the hydrated trichloride with HCl. The method is described in detail by Taylor.7 There has also been extensive work done on the conversion of rare earth oxides to trihalides. The general method for chlorin- ation of oxides with SZCl2 and C12 was first reported near the turn of the century.8 A modification of the same procedure involves the use of thionyl chloride. Carbon 11 tetrachloride and phosqene12 have also been used to convert rare earth oxides to trichlorides. Other rare earth trichloride preparative procedures are outlined by Taylor.7 The chlorination of rare earth oxides with ammonium chloride is reported by Domning and Schechter.13 High purity trichlorides also have been prepared from the reaction of a . . . l4 rare earth oxide and various amine hydrochlorides. 6 Fewer methods have been perfected for preparing anhy- drous rare earth tribromides than exist for preparation of the trichlorides. Borisov et al.15 prepared several rare earth tribromides by reaction of the oxide with carbon and bromine. While most of the procedures outlined above for the preparation of the trichlorides can be adapted for the preparation of the tribromides, the most successful and widely used one is that described by Taylor and Carter.16 The procedure involves careful dehydration of the hydrated tribromide in the presence of an excess of ammonium bromide. Because of its acidic nature, the excess ammonium bromide is believed to prevent hydrolysis of the rare earth tribromide. Haschke and Eickl7 extensively studied the eur0pium bromide system using a modification of the Taylor-Carter process. Rare earth tribromides can also be prepared from the reac- tion of a rare earth metal and an excess amount of mercuric bromide at elevated temperatures.18 Rare Earth Dihalides. Most of the work involving rare earth dihalides has been done in the past twenty years. As in the case of the trihalides, the dichlorides have received the most atten- 19 tion. Polyachenok and Novikov studied the thermodynamics of the reaction fl 3MC12(S)'—*-2MC13(S) + M(S) (1) frheir calculations showed that many rare earth dichlorides existronly in a metastable state. 7 Many ways have been used to reduce rare earth trihal- ides to the dihalides. One method involves reduction of the trihalide by hydrogen.20 Another technique, reported by DeKock and Radtke,21 uses zinc as a reducing agent in a zinc chloride melt. Whenever the dihalide is only slightly stable toward disprOportionation the metal of the cation involved is the most obvious and suitable reducing agent. The procedure for the reaction 2MX3(1) + M(s,1)—-3MXZ(1) (2) where X = Cl, Br, I has been outlined by Corbett.2 Single Crystal Preparation The preparation and growth of single crystals of rare earth halides have been described by Cox and Fong22 and 23 Mroczkowski. These techniques involve very slow cooling of a liquid melt. Mixed Valence Rare Earth Halides The preparation and characterization of rare earth dihalides and mixed valence halide compositions have been widely reported recently. Mixed valence rare earth halides have been prepared either by reaction of the metal with the trihalide or reaction of the trihalide with the dihalide. The compounds were isolated from a melt which was contained in reaction vessels of tantalum, gold, carbon or quartz. Corbett and co-workers have done extensive work on the systems MX<1 5, which exhibit a high degree of metal- 24 25 metal bonding. The compounds Gd C13, Sc2C13 and SczBr, 2 Sc7C11026 and ScCl27 have been isolated. The monochlorides of gadolinium and terbium have also been prepared.28 The crystal structures of the rare earth monochlorides are sheet-like and are similar to the phases reported for ZrBr29 and HfC1.30 Some mixed valence halides exhibit vernier-type struc- 31 tures. Such structures were reviewed by Hyde et a1. and were identified as the crystal structure for the compounds 32 33 34 Y706F9, Nb22r6017 and zr108N98Fl38' An examination of the reported intermediate valence phases shows that some compositions are consistent with an Mnx2n+2 series. Reported compounds in this series include 4 35 36 37 SmllBr24, Lasllz, PrSBr12 and Yb6C1l4. Mixed valence rare earth halides also exist as com- pounds which can be assigned to the homologous series M X The compounds in this series which have been n 2n+1' isolated and characterized are listed in Table I. Mixed- metal rare earth halides that also belong to this series 3 5 have been reported. They are Sr4DyClll and YbSErCI13 where n = 5 and 6 respectively. STRUCTURAL INFORMATION Samarium Tribromide A. Anhydrous Samarium Tribromide Anhydrous samarium tribromide exists in the PuBrB-type TABLE I: Metal Halide Compositions Defined by the Series Mnx2n+l Theoretical in X:M Reported Compositions Ref. 3 2.333 NdC12.33’ PrC12.3l, SmFZ.35 39, 40, 41 4 2.250 NdC12.25, NdC12.27, YbClz.26 38, 39, 40 5 2.200 SmBr2.20, NdC12.20, SmC12.20, 4, 39, 43 DyC12.20, HoC12.20 43, 44 6 2.167 SmBr2.l72 4 9 2.111 DYC12.11’ TmC12.ll 45, 46 10 2.100 TmC12.lo 46 11 2.091 TmC12.090 46 12 2.080 TmC12.080 46 13 2.077 TmC120074 46 15 2.067 TmC12.067 46 25 2.040 TmC12.04O 46 10 structure and is isostructural with NdBr TbBr3.47 The compound exhibits orthorhombic symmetry and 3, EuBr3 and is consistent with space group Ccmm. B. Samarium Tribromide Hexahydrate Samarium tribromide hexahydrate is isostructural with the NdCl3-6H20-type structure48 and the other rare earth 49 tribromide hexahydrates. The compound exhibits monoclinic symmetry and is consistent with space group P2/n. Samarium Dibromide A. Anhydrous Samarium Dibromide Anhydrous samarium dibromide is isostructural with eurOpium dibromide which exhibits X-ray patterns that are assignable to a tetragonal SrBrz-type structure.4 Systematic extinctions are consistent with space group P4/n. B. Samarium Dibromide Monohydrate Samarium dibromide monohydrate, which exhibits a 17 has not been structure similar to that of EuBrZ-HZO, prepared in pure form. X-Ray data for the compound assigns it to space group ana with an orthorhombic BaClZ-HZO-type structure . 4 11 Mixed Valence Samarium Bromides The three compositions isolated in the SmBrx system all exhibit a vernier-type structure with monoclinic symmetry. Conditions for extinction show that SmsBrll and SmllBr24 are assignable to space group 92. To facilitate Br Sm Br comparison of the structure with that of Sm ll' 6 13 5 has been indexed in Space group I2/a. Structural information for the various samarium bromide phases is detailed in Table II. The vernier structures of the samarium bromide phases as deduced by Béirnighausen3 are shown in Figure 1. Vernier structures are layered structures with two metal atom layers (the open and filled circles) and two anion layers (the solid and broken line networks). Yttrium Tribromide Yttrium tribromide is isostructural with AlCl3 and YCl3. X-Ray data shows the compound to be of monoclinic symmetry and is indexable in the space group C2/m. Hafnium Tetrabromide Hafnium tetrabromide exhibits cubic symmetry. Systematic extinctions are consistent with space group Pa3. 12 gees mane A>VmH.Hm ams.h mn.sv Hmo.a m\mH oflcfldoocos umflcum> mHHmSmSm m L>Vom.aa ama.h «v.44 avm.a m\~H oacfiaoocoe umflcum> maumeem m Imeaa.oa omH.a ~6.Hm mmm.a :\~a oflcndoocos uwflcum> amumaaam m havem.oa HNH.~ H~.hm ~mo.a Exam oHcAHoocoe Hoficum> 2Swan. 4 mam.v -¢.HH Shaka mesa oflnsoeuozuuo Omm.maomm o~:.~umem a ooH.~ mmm.HH :\vm decommuumu munum mumem a .mcnm.mm mma.m ~ma.m mo.oH :\~a oficflaoocos O~m6.maoez Omme.mum2m Se ama.a oon.ma mao.a sSoo canoszuoeuno mumsm mnmem .mmm on>.m Am£ muasmmu dads mH.OHos.Ho In- so.oflhm.mm ov.am In- sm.mm mumSm ~H.OHsa.mm mo.oamn.v om.onam.om a~.mm mn.e oo.ov maumSmsm . - . . - . . . mu S OH o+mo mm .t: we o+~m we mm mm In- we we um Sm «H.0HON.Hm ls: mo.ofima.ma mm.Hm In: ne.aa mumEm Haw SW Ems umw we Smw mmmea Ranches emumdsonO mommnm mpflsoum Esflumsmm Hmum>mm mo muasmmm HMOfluhaucd "HHH mqmda 31 samarium bromide phases are listed in Appendices A, B and C. Samarium yttrium bromide was indexed in Space group C2/c for all X-ray powder diffraction intensity and lattice parameter calculations. The properties of space group C2/c are listed in Table IV. A representation of the symmetry of this space group is illustrated in Figure 3. The X-ray powder diffraction patterns of all prepared compounds are outlined in Appendices D-M. CALCULATION OF LATTICE PARAMETERS The lattice parameters of the compound, SmSYBr13, were refined by a least squares regression analysis. The crystal was of a monoclinic symmetry with a c-centered lattice. The refinement was based on the indexed reflections of the X-ray powder diffraction patterns. For the final calcula- tion 58 reflections were used. The refined constants ob- tained were then used to calculate sinze values. The result of the least squares refinement of the SmSYBrl3 lattice parameters is detailed in Appendix N. The data obtained for SmSYBrl3 are listed in Table V. As previOusly mentioned, the lattice parameters of Sm6Brl3 calculated by Béirnighausen3 are likewise based on powder diffraction photographs. A comparison of the lattice param— eters of Sm6Brl3 is shown in Table VI. All parameters are based on the assignment of the compounds to space group C2/c. 32 TABLE IV: Properties of Space Group C2/c55 Point Coordinates of Positions Symmetry Equivalent Positions (010107 é‘r‘li'rq) + 8f 1 x,y,z; 355.5; X.y.-12- 2; l — 3 4e 2 OIYI-4-l Oly1-4- _. l l l. 2 l 0 4d 1 4I4I2I 4’4, ,— 3 1 1 4c 1 %,%-,0; TI"? 1 1 4b 1— 01%10; Gift? _ 1 4a 1 0:010! 0:017 V4 V4 V. ‘A 74 V2+O ‘/2+Q 33 OVz- -O 0* ‘/=+® '0 0V" V=+O 0+ 014- -O 0" '/2+® P , 1% I P i I i | i : o : o : I I : l : <5 } Q : Q l | ' s <:> z A 5 2t . I l s Figure3 Representation of Space Group C2/c55 CV:- 072- V. V. V4 34 TABLE V: Data on SmSYBrl3 Space Group C2/c Unique axis 2 O a (A)* 44.31i0.05 O Q (A) 7.139t0.008 0 g (A) 6.651t0.008 Q (°) 98.45:0.007 °3 Z (A ) 2394 .2. 4 Formula Weight 1897.5 D (g/cm3) 5 21+0 03 calc ° ‘ ' t (°C) 23:3 0 A (A) 1.54050 General positions (x,y,z) (i) (x,% - 1.2) Glide at z '1 ('2‘ + xI-XIZ + Z) Glide at y = 0.25 = 0.25 *Least squares fit. 35 TABLE VI: Comparison of Lattice Parameters* of SmGBrl3 and SmSYBr 43 Parameter .SmGBrIB SmsYBrl3 a (A) 43.97i0.08 44.31:o.os p (A) 7.139:o.ooz 7.139:0.008 g (A) 7.649t0.002 7.651:0.008 5 (°) 98.58:0.07 98.45:o.o7 -3 . 2 5.21:0.03 Dcalc(g/cm ) 5 34 2 (A3) 2401 2394 *Space group C2/C SINGLE CRYSTAL PREPARATION A mixture of SmBr3, Sm and YBr3 was melted in a sealed, evacuated, quartz vessel and slowly cooled. The resultant product was crushed and examined visually under a micro- scope. The product included gray polycrystalline material and rectangular-prismatic crystals. 35 CHAPTER V DISCUSSION 37 DISCUSSION Unusual intermediate valence rare earth halides are well known. One such system that has been recently char- acterized is the SmBrx system.4 Reported compositions include SmSBrll, SmllBr24 and Sm63r13. Two of the compounds are defined by a well-studied homologous series, Mnx2n+l’ of rare earth halides. All of these compounds can also be described as members of the series Mnx2n+2 where n = 10, 11 and 12, respectively.56 A major problem in studying mixed valence rare earth halides has been the inability to produce single crystals. Consequently, the lattice parameters of these compounds have been solved from the X-ray powder dif- fraction photographs of polycrystalline samples. Single' crystals of DySClll were produced but they could not be Obtained in the YbClX or SmBrx systems. Single crystals of an intermediate valence ytterbium chloride were obtained as a mixed-metal phase. The resultant compound, YbsErCll3, was characterized by single crystal techniques and shown to be isostructural with the desired ytterbium phase. It is possible that substitution of another metal into the SmBrx lattice could also result in single crystal formation. The close similarity between the ytterbium chloride, dysprosium chloride and samarium bromide systems can be understood by a simple radius-ratio argument. A comparison of the ionic radii of Cl/Yb and Br/Sm indicates a ratio of 57 1.84 and 1.80, reSpectively, when the trivalent ions, with coordination number eight, are used for the rare earths. 38 39 The use of divalent rare earth radii should result in comparably identical ratios. The Cl/Dy ratio of 1.75 is similar to the Br/Sm value. Similarities among ratios can be expected elsewhere in the rare earth series, particularly among the bromide and iodide systems. Mixed-metal rare earth halides have only been reported in isolated cases. As previously mentioned, such systems have resulted in excellent single crystal formation. Looking at the SmBrX system several metals could be substi- tuted into the crystal lattice. One such metal is yttrium. Trivalent yttrium, with an coordination number of eight has 0 an crystal radius of 1.02 A.57 The resultant Br/Y ratio is 1.90. The samarium-yttrium-bromide system is unique in that no transition metal has yet been substituted into the struc- ture of a mixed valence rare earth halide. The compound 3 Sr DyClll has been reported but the substituted metal, 4 strontium, is not a d-block metal and the rare earth, dysprosium, is not in a reduced valence state. The most interesting feature of yttrium, and some other transition metals, however, is their significantly lower electron density than the lanthanide metals. Incorporation of yttri- um into the samarium bromide lattice should allow detection by X—ray analysis, of an ordered structure, if one exists. . . + 3+ . . Presently, distinction between the M2 and M Sites in the lattice cannot be made. Another possible metal substitute is hafnium. Hafnium usually exists in the tetravalent state with an effective 40 radius of 0.83 A. Trivalent hafnium has been reported, as HfI3.58 The radius of trivalent hafnium is expected to be larger than 0.83 A and may yield a Br/Hf ratio similar to that seen for samarium and yttrium. The use of a bromide system may also help to stabilize hafnium in the trivalent state. and Sm HfBr l3 5 13’ exhibit structures similar to those reported for Dy5C1 The proposed compounds, SmSYBr should ll' Sm6Brl3 and YbSErCll3. These compounds apparently belong to a class of vernier-type structures. This structure type has . . 32 33 also been isolated in the compounds Y706F9, NbZZrGOl7 and zr108N98F138’34 and is discussed in detail by Hyde et al 31 The vernier structures are of monoclinic symmetry. The structures are fluorite-type lattices. Compared to the fluorite structure, however, vernier unit cells contain additional anions, and the space required to accommodate these extra anions is obtained by transforming one half of the cubic anion packing into a hexagonal Closest packing. Superimposition of these two anion layers leads to a ver- nier-type structure. For discussion purposes it is easier. to visualize the structure in space group I2/a. A projec- tion of the M6Xl3 structure on (001) in such an orientation is shown in Figure 4. In this projection the metal atom ar- rangement in a fluorite lattice can be seen. The anion ar- rangement consists of two layers of atoms at z = 1/4 and z - 3/4. The lower layer is rectangular between y 0 and ER. 955 33m. :8. co axes. ao 528.95 V 633.4 R \ . \ I r A / \ \ (.3... l 41 \ I «I— —-O- \ \ -9.-. o. / '\ '-""-\ vv---'\"'--'-\ 1...... _. / § «\.u> 42 y = 1/2, and the upper is a triangular net; the arrangement is reversed between y = 1/2 and y = 1. This arrangement allows for the space needed to accommodate the two extra anion rows. The Open and filled circles indicate the posi- tion of the metal atoms at z = 0 and z = 1/2, respectively. The anion coordination around the metal atoms is illus- trated in Figure 5. One half of the unit cell is shown. The coordination around Ml can be regarded as a capped octahedron. The M2 Site coordination may be regarded as a trigonal base-tetragonal base. A bicapped trigonal-pris- matic coordination is observed surrounding M3. The struc- tures of SmSYBrl3 and SmSHfBrl3 are expected to be similar to that of the detailed M6xl3 structure. Single crystal analyses of the two compounds may result in identification of the positions occupied by divalent and trivalent metal atoms. The compound SmSYBrl3 can be prepared from a homogenous melt of samarium metal, samarium tribromide and yttrium tribromide. The reaction can be carried out in quartz reaction vessels but a high degree of product contamination by oxide bromide occurs. Quartz is also a samarium metal scavenger. A more suitable and practical reactor material is vitreous carbon. Haschke4 used carbon to prepare the mixed valence samarium bromide phases. A modification Of his procedure proved effective in the preparation of SmSYBr13. 700-800°C under high vacuum (<10-4 torr). This preparation The SmBrx preparation involved a reaction at 43 8.3....— n. x as. 65 E cozacfitooo EOE .865. m expat x1 l 1 A U f . -——-—---y‘ ———---- i i I w: l I l l 44 resulted in large losses of the tribromide through subli- mation. Tribromide loss was minimized by heating the samarium-yttrium-bromide system under a one atmosphere pressure of dried argon. The procedure used in the preparation of SmSYBrl3 was not effective in the preparation of SmSHfBrl3. Hafnium tetrabromide sublimes at 420°C (one atmosphere pressure). Open containers of vitreous carbon proved unsuitable for preparation of this phase. The samarium hafnium bromide, likewise, could not be prepared in sealed quartz reactors. The unsuccessful attempts to produce SmstBrl3 may be at- tributed to the inability to reduce hafnium to the trivalent state. The use of hafnium metal to form HfBr3, with the subsequent reaction with samarium, may lead to formation of Sm HfBr Samarium in the lattice exists in the divalent 5 13' state and could be produced separately (according to equa- tion (4)) or £3 bitu. l 3 1 2 5 10 14 -H4 f + 4HfBr4 + jSm + —§SmBr3 -—---Sm5HfBrl3 ( l The compound SmsYBrl3 can be indexed in either the C2/c or I2/a space group. Lattice parameters calculated by least squares linear regression indicate SmSYBrl3 is iso— structural with Sm63r13. Examination of the parameters shows the respective unit cells to be almost identical in 3+ ° size. Since the radius Of Y3+ is smaller than Sm (1.02 A 45 0 compared to 1.09 A) lattice parameters for SmSYBr13 would be expected to be slightly smaller than those of Sm Br This 6 13' size difference could also account for a Slight decrease in the 8 angle. A secondary objective of this work was to determine the ability of isolating single crystals of transition-metal- substituted samarium bromides. The ability to obtain Single crystals supports the assumption that transition metals can be substituted into a stable, vernier lattice. The limit of non-lanthanide metal substitution is left to speculation. The information Obtained in the growth of SmSYBrl3 single crystals could be extended and adapted to other intermediate valence rare earth halide phases. CHAPTER VI CONCLUSION 46 CONCLUS ION The purpose of this work was to investigate a mixed valence rare earth halide. The system chosen was the vernier-structured compound, Sm Br 6 13’ Since single crystals 'of this compound had not been isolated, one of our goals was to produce a substituted samarium bromide that could be prepared in the form of single crystals. WOrk in the ytterbium chloride system5 yielded single crystals after some substitution was made of another metal, with an ionic radius similar to ytterbium, into the crystal lattice. On the basis of the ionic radius of Sm3+, r = 1.09 A, two metals were chosen as possible candidates; Y3+ where r = 1.02 A and hafnium. Hafnium normally exists in the tetravalent state, r = 0.83 A, but the existence of triva- 58 Trivalent hafnium should 0 have an r > 0.83 A and may approximate the radius of Sm3+. lent hafnium has been reported. It was felt that the bromide ion in the system and the 3+. Transition metals, lattice energy might stabilize Hf rather than rare earth metals, were chosen. The substitu- tion of transition metals into the lattice of a rare earth halide may allow detection of an ordered structure if one exists. Also, the incorporation Of transition metals into the vernier structure of rare earth halides has not been re-- ported. The unique compound, SmSYBrl3 was prepared by reacting samarium metal with a mixture of samarium and yttrium tribromides at a temperature greater than the melting point 47 48 of the tribromides. The gray—black powder was analyzed by X-ray powder diffractometry. Least squares refinement of the powder pattern yielded unit cell lattice parameters comparable to those reported for Sm6Br13. The vernier structure of SmSYBrl3 was also confirmed. The attempts to produce Single crystals of a transi- tion-metal-substituted samarium bromide were successful. Growth of single crystals by the Slow cooling of a homoge- neous melt in quartz reactors was confirmed by microscopic observation. The crystals were of a rectangular-prismatic shape. Atomic parameter refinement of single crystals of Sm YBr 5 13 All attempts to prepare Sm Should be an objective for future research. HfBr from samarium metal, 5 l3 samarium tribromide and hafnium tetrabromide were unsuc- cessful. The inability to isolate this compound may be a result Of the failure to reduce hafnium to the trivalent state. It might be possible to prepare the SmSHfBr13 phase if hafnium metal is used to initiate reduction of tetravalent hafnium. The ability to prepare and characterize the phase Sm YBr has led to an increase in the understanding of the 5 13 structural aspects of mixed valence rare earth halides. The success of substituting another metal into the system to stabilize the lattice as well as the use of trivalent transition metals should lead to fruitful new areas of research. REFERENCES 10. ll. 12. 13. 14. 15. 16. 17. REFERENCES J. D. Corbett, Preparative Inorganic Reactions, Vol. 3, (W. L. Jolly, ed.), InterscIence Publishers, New York, 1966). J. D. Corbett, Rev. Chimie Min., 12, 239 (1973). H. Barnighausen, Proc. Rare Earth Res. Conf., 12th, 1, 404 (1976). III " ‘ J. M. Haschke, Inorg. Chem., £3, 298 (1976). H. Lfike and H. A. Eick, Proc. Rare Earth Res. Conf., 12th, 1, 424 (1976). C. Matignon, Comp . Rend., 134, 427 (1902). M. D. Taylor, Chem. Rev., 62, 503 (1962). F. Bourion, Compt. Rend., 148, 170 (1909). z. Darzens and F. Bourion, Compt. Rend., 53, 270 (1911). A. V. Davydov, S. S. Travnikov and B. F. Myasoedov, Zh. Anal. Khim., £3, (10), 1936 (1971). P. Camboulive, Compt. Rend., 150, 175 (1910). E. Chauvenet, Compt. Rend., 152, 87 (1911). W. E. Domning and D. L. Schechter, U.S. Patent 3,153,570 (1964). W. H. Baldwin, U. S. Patent 3,821,356 (1974). G. K. Borisov, S. G. Krasnova and R. I. Khranova, Zh. Neorg. Khim., ;g (11), 2899 (1971). M. P. Taylor and C. P. Carter, J; Inorg; Nucl. Chem., 34, 387 (1962). J. M. Haschke and H. A. Eick, J;_Inorg. Nucl. Chem., 2;, 2153 (1970). 49 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 50 F. L. Carter and J. F. Murray, Mat. Res. Bull., 1, 519 (1972). _ O. G. Polyachenok and G. I. Novikov, Zh. Neorg. Khim., g (7), 816 (1963). R. E. Johnson and J. R. Mackenzie, J. Inorg. Nucl. Chem., 2;, 43 (1970). -_ C. W. DeKock and D. D. Radtke, J; Inorg. Nucl. Chem., 3;, 3687 (1970). D. E. Cox and F. K. Fong, J;_Cryst. Growth, gg, 233 (1973). S. Mroczkowski, J;_Cryst. Growth, 2, 147 (1970). D. A. Lokken and J. D. Corbett, Inorg. Chem., 1;, 556 (1973). B. C. McCollum, M. J. Camp and J. D. Corbett, Inorg. Chem., 1;, 779 (1973). K. R. Poeppelmeier and J. D. Corbett, Inorg;_Chem., $3! 1107 (1977). K. R. Poeppelmeier and J. D. Corbett, Inorg. Chem., 294 (1977). Ila ‘ (D s A. Simon, H. Mattausch and N. Holzer, Angew. Chem., §_ 685 (1976). R. L. Daake and J. D. Corbett, Inorg. Chem., lg, 2029 (1977). A. W. Struss and J. D. Corbett, Inorg. Chem., 3, 1373 (1970). B. G. Hyde, A. N. Bagshaw, S. Anderson and M. O'Keefe, Ann. Rev. Mat. Sci., 3, 43 (1974). D. J. M. Bevan and A. W. Mann, Acta Cryst., ”31, 1406 (1975). J. Galy and R. S. Roth, J; Solid State Chem., ;, 277 (1973). W. Jung and R. Juza, §;_Anorg;_Allg. Chem., 3 9, 129 (1973). ‘=== J. D. Corbett, L. F. Druding, W. J. Burkhard and C. B. Lindahl, Discuss. Faraday Soc., g;, 79 (1961). 36. 37. 38- 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 51 R.9A§)Sallach and J. D. Corbett, Inorg. Chem., 2, 457 l 6 . _ H. Barnighausen, H. P. Beck and H. W. Grueninger, Proc. Rare Earth Res. Conf., 9th, 1, 74 (1971). L. F. Druding and J. D. Corbett, J. Am. Chem. Soc., 3;, 2462 (1961). G. I. Novikov and O. G. Polyachenok, Zh. Neorg. Khim., g, 1053 (1963). L. F. Druding, J. D. Corbett and N. B. Ramsey Inorg. Chem., ;, 869 (1963). ' J. J. Stezowski and H. A. Eick, Inorg. Chem., 2, 1102 ~ (1970). I N. A. Fishel and H. A. Eick, J; Inorg. Nucl. Chem., ii, 1201 (1971). O. G. Polyachenok and G. I. Novikov, Zh. Neorg. Khim., g, 2818 (1963). V. Loechner, H. Barnighausen and J. D. Corbett, Inorg. Chem., gg, 2134 (1977). J. D. Corbett and B. C. McCollum, Inorg: Chem., 2, 938 (1966). P. E. Caro and J. D. Corbett, J; Less-Common Met., 18, l (1969). R. W. G. Wyckoff, Crystal Structures, Vol. 2, 2nd ed., Interscience Publishers, New York (1963). M. Marenzio, H. A. Plettinger and W. H. Zachariasen, Acta Cryst., $3! 234 (1961). D. Brown, S. Fletcher and D. G. Holah, J;_Chem. Soc., A, 1889 (1968). A. V. Hariharan, Ph.D. Thesis, Michigan State University, East Lansing, MI. (1971). J. D. Corbett, Inorg. Nucl. Chem. Letters, 8, 337 (1972). A. C. Larson, R. B. Roof and D. T. Cromer, "AnisotrOp— ic Structure Factor Calculation and Powder Pattern Generation," LOS Alamos Laboratory Publication LA-3335 (1965). 53. 54. 55. 56. 57. 58. 52 0. Lindquist and F. Wengelin, Ark. Kemi., 28, 179 (1967). "I J. G. Smeggil and H. A. Eick, Inorg. Chem., 12, 1458, (1971). N. F. M Henry and K. Lonsdale, Ed., International Tables for X-ray Crystallography, Vol. 1, International Union of Crystallography, Kynoch Press, Birmingham, (1952). H. Barnighausen and J. M. Haschke, to be published in Inorg. Chem., (1978). R. D. Shannon, Acta Cryst., A, 751 (1976). A. W. Struss and J. D. Corbett, Inorg. Chem., g, 277 (1969). APPENDICES Appendix A: The Positional and Thermal Parameters of SmBr2* Atom x y z B(£2)** Sm(1) 0.1045 0.5856 0.2476 2.15 Sm(2) 0.2500 0.2500 0.8483 1.25 Br(1) 0.1531 0.4590 0.6258 3.33 Br(2) 0.3388 0.4572 0.0963 2.43 Br(3) 0.2500 0.7500 0.0000 2.90 Br(4) 0.2500 0.7500 0.5000 2.44 *Based upon SrBr2 **Estimated 53 Appendix B: The Positional and Thermal Parameters of Sm Br * 5 ll Atom x y z B(A2)** Sm(1) 0.3343 0.44475 0.0232 1.43 Sm(2) 0.7404 0.34558 0.0138 1.38 Sm(3) 0.3285 0.25000 0.0156 1.31 Sm(4) 0.8351 0.44492 0.4711 1.31 Sm(S) 0.2439 0.34504 0.4795 1.42 Sm(6) 0.8352 0.25000 0.4797 1.07 Br(1) 0.6100 0.49107 0.2317 2.05 Br(2) 0.6577 0.41724 0.8107 2.21 Br(3) 0.5353 0.39504 0.3037 2.05 Br(4) 0.3733 0.33080 0.8728 1.94 Br(5) 0.5453 0.29628 0.3144 1.52 Br(6) 0.6887 0.25000 0.8596 3.20 Br(7) 0.1035 0.49212 0.2732 2.52 Br(8) 0.1499 0.41714 0.6738 1.89 Br(9) 0.0247 0.39582 0.1938 1.69 Br(10) 0.1164 0.32758 0.6312 2.37 Br(ll) 0.0305 0.29662 0.1885 1.40 Br(12) 0.1979 0.25000 0.6093 2.46 *Based upon DySClll§ **Estimated 54 Appendix C: The Positional and Thermal Parameters of SmsBrl3 and SmSYBrl3* Atom** x y z 3(AZ)*** Sm(1) 0.4542 0.2747 0.8750 1.32 Sm(2) 0.3705 0.2718 0.4010 1.32 Sm(3) 0.2900 0.2684 0.7407 1.32 Br(1) 0.4925 0.4816 0.6367 2.11 Br(2) 0.4307 0.0696 0.5347 2.11 Br(3) 0.4122 0.4452 0.1516 2.11 Br(4) 0.3555 0.1059 0.7419 2.11 Br(5) 0.3299 0.4400 0.0693 2.11 Br(6) 0.2838 0.1193 0.3678 2.11 Br(7) 0.2500 0.4413 0.0001 2.11 *Based upon YbsErCll3 . . l **Corrected POSitional Parameters are x - %; y - 7; z - I ***Estimated 55 Appendix D: X-Ray Powder Diffraction Pattern of Tetragonal SmBr 2 O d-value (A) Observed h h Calculated -Observed Intensity 1 1 8.1940 8.1011 w 0 0 3.5500 3.5627 m 0 1 3.3943 3.3936 0w 1 1 3.2574 3.2170 vw 1 2 2.9287 2.9339 w 0 3 2.6138 2.6111 w 2 4 2.5912 2.5843 w l 3 2.5497 2.5477 w 2 4 2.4341 2.4314 vw 1 4 2.2035 2.2149 m l 2 2.1528 2.1527 uw 2 5 2.0593 2.0584 w 4 5 1.6123 1.6138 m 56 Appendix E: X-Ray Powder Diffraction Pattern of Orthorhombic SmBrZ-HZO ,1 d-value (A) Observed h k 8 Calculated Observed Intensity 2 0 0 4.5890 4.5821 w l 2 1 3.2239- 3.2289 w 2 0 1 3.1436 3.1376 vw 3 0 0 3.0593 3.0771 w 2 l 1 3.0310 3.0452 w 3 1 0 2.9552 2.9533 w 0 3 1 2.8556 2.8785 vw 2 2 1 2.7542 2.7826 w 3 2 0 2.6970 2.6703 w 3 0 1 2.4957 2.5097 m 3 1 1 2.4382 2.4493 vw 0 0 2 2.1575 2.1573 vw 0 1 2 2.1200 2.1208 vw 57 Appendix F: of Orthorhombic SmBr3 X-Ray Powder Diffraction Pattern O d-value (A) Observed h h K Calculated Observed Intensity 0 1 1 7.4112 7.300 w 0 2 0 6.3530 6.3905 m 0 2 1 5.2136 5.2478 w 0 0 2 4.5620 4.5606 m 1 1 1 3.5485 3.5416 w 1 0 2 3.0253 3.0148 w 1 1 2 2.9431 2.9454 w 1 3 0 2.9241 2.9264 m 1 3 1 2.7846 2.7876 4 0 3 2.7432 2.7434 m 1 2 2 2.7314 2.7240 m 0 3 3 2.4704 2.4717 w 1 1 3 2.3870 2.3857 A 1 2 3 2.2498 2.2510 A 1 3 3 2.1079 2.1064 w 2 0 2.0210 2.0219 m 2 1 0 1.9959 2.0078 m 2 1 1 1.9498 1.9487 m 58 Appendix G: X-Ray Powder Diffraction Pattern of Monoclinic SmBr3°6H20 d-value (A) Observed h h 4 Calculated Observed Intensity 0 0 1 8.1422 8.0792 w 0 l 0 6.7620 6.8446 m I 0 1 6.6184 6.6110 4 1 0 1 6.1324 6.2048 6 l 0 5.6034 5.6750 m 0 0 1 5.2020 5.2576 m 2 0 0 5.0053 5.0398 m '1' 1 1 4.6930 4.7269 4 l 1 1 4.5426 4.5676 6 0 0 2 4.0711 4.1037 6 1 0 2 3.6918 3.7042 4 2 1 1 3.5372 3.5596 4 0 1 2 3.4878 3.5064 W 0 2 0 3.3810 3.3885 w 2 0 2 3.2592 3.2762 vw l 2 0 3.2032 3.2125 m 3 0 1 3.1574 3.1734 uw 0 2 1 3.1225 3.1314 m 3 0 1 3.0223 3.0302 m ‘1' 2 1 3.0013 3.0046 m l 2 1 2.9608 2.9723 m 2 1 2 2.9360 2.9477 m 59 Appendix G (Cont'd): 60 d-value (A) Observed h h £ Calculated Observed Intensity 3 1 1 2.8609‘ 2.8697 0w 2 2 0 2.8017 2.8006 4 3 1 1 2.7592 2.7696 w 3 2 1 2.6781 2.6851 m 2 2 1 2.6213 2.6262 m 0 2 2 2.6010 2.6098 m 1 0 3 2.5792 2.5884 m I 2 2 2.5421 2.5491 m 3 0 2 2.5054 2.5098 m 1 2 2 2.4934 2.4864 m 1 1 3 2.4099 2.4188 m 3 2 0 2.3750 2.3791 a 4 0 1 2.3514 2.3571 m 3 1 2.3076 2.3111 3 4 1 1 2.2911 2.2945 w 4 1 1 2.2210 2.2237 w 2 1 3 2.1995 2.2056 m 1 3 0 2.1989 2.1978 m I 3 1 2.1302 2.1342 m 0 2 3 2.1165 2.1185 m 3 2 2 2.0922 2.0961 m 4 o 2 2.0751 2.0768 w 2 3 0 2.0552 2.0562 0w Appendix H: X—Ray Powder Diffraction Pattern of Tetragonal SmOBr in, d-value (A) Observed Calculated Observed Intensity 0 0 7.9041 7.9475 m 0 0 3.9672 3.9556 vw 1 0 3.5312 3.5110 w 1 1 2.7944 2.7976 m l 1 2.2780 2.2488 vw 1 0 2.1934 2.2082 uw 2 0 1.9758 1.9720 w 2 0 1.9151 1.9028 w 2 0 1.7677 1.7543 w 2 1 1.7230 1.7098 w 2 1 1.6146 1.6131 m 0 0 1.3172 1.3079 vw 1 0 1.2490 1.2405 m 61 Appendix I: of Vernier Sm Br 5 11 X-Ray Powder Diffraction Pattern O d-value GA) Observed izh £ Calculated Observed4 Intensity 1 1 0 7.0536 7.028 a 1 1 I 5.2281 5.235 w 5 1 1 4.2879 4.285 m 7 1 I 4.2270 4.269 m 2 0 2 3.8346 3.837 w 12 0 0 3.6670 3.722 w 1 l 2 3.3740 3.371 w 3 1 2 3.3639 3.357 w 2 2‘I 3.2278 3.225 w 6 2 0 3.2121 3.214 w 7 1 2 3.1339 3.101 m 4 2 1. 3.0487 3.058 m 11 1 1 3.0237 3.028 m 13 1 I 2.9810 2.967 w 9 1 2 2.9522 2.957 w 6 2 1 2.8901 2.870 w 12 0 2 2.8597 2.861 w 10 o 2 2.6801 2.667 4 2 2‘2 2.6141 2.615 m 0 0 2.6004 2.600 w 12 2 0 2.5591 2.615 a 2 2 2 2.5520 2.536 w 62 Appendix I (Cont'd): 63 d-value (A) Observed h h l Calculated Observed Intensity 4 2 2 2.4742 2.469 m 12 0 2 2.4577 2.456 w 3 1 3 2.4070 2.408 m 1 1 3 2.3981 2.402 m 17 1 1 2.2275 2.242 m 5 3 1 2.1767 2.174 m 7 3 1 2.1687 2.168 m 16 0 2 2.0824 2.082 w 9 1 3 2.0318 2.020 w 'lilllll'lili)‘li.ll1” Appendix J: X-Ray Powder Diffraction Pattern of Vernier Sm Br 6 13 O d-value (A) Observed h'k £ Calculated Observed Intensity 3 1 0 6.4177 6.3715 w 1 1 I 5.2183 5.2138 w 3 1'2 5.0578 5.0005 vw 7 1 0 4.7149 4.6891 w 5 1 1 4.2848 4.3030 A 7 1 1 4.2165 4.2428 m 2 0 2 3.8233 3.7024 A 1 1 2 3.3662 3.3809 vw 8 0 2 3.3553 3.3509 w 2 2 1 3.2232 3.1979 m 3 1 2 3.1704 3.1740 vw 4 2 1 3.0459 3.0681 vw 6 2 1 3.0252 3.0290 m 11 1 1 3.0223 2.9999 w 13 1 1 2.9743 2.9626 w 9 1 2 2.9428 2.9418 w 12 0 2 2.8497 2.8530 w 7 1 2 2.8029 2.7990 m 10 0 2 2.6785 2.6601 w 14 0 2 2.6126 2.6093 0w 2 2 2 2.6091 2.5932 0w 12 2 0 2.5564. 2.5502 w 64- Appendix J (Cont'd): 65 6 d-value (A) Observed h h L Calculated Observed Intensity 2 2 2 2.5489 2.5198 m 4 2 2 2.4712 2.4696 “m 9 l 3' 2.2654 2.2316 um 12 2 2 2.2271 2.2210 vw 7 3 I 2.1657 2.1669 0w 10 2 2 2.1424 2.1480 w 7 3 1 2.1052 2.0926 w 16 0 2 2.0816 2.0776 uw 15 1 3 1.9865 2.0080 w 2 0 3 1.9086 1.9137 um 10 4 I 1.6345 1.6379 we 19 3 1.5819 1.6039 vw Appendix K: X-Ray Powder Diffraction Pattern of Monoclinic YBr3 d-value (A) d-value (A) Observed Intensity Observed Intensity 8.3924 vw 2.7970' 6 7.5313 m 2.7495 vw 7.1219 vw 2.7066 w 6.7456 0w 2.6085 w (6.4499 m 2.5596 uw 6.0259 4 2.5301 uw 5.6154 m 2.4965 m 5.2240 uw 2.4770 m 5.0042 m 2.3521 w 4.6738 vw 2.2331 w 4.5990 m 2.2110 m 4.0415 w 2.1774 w 3.6598 w 2.1089 w 3.5958 w 2.0793 m 3.5064 m 2.0498 m 3.3295 m 2.0394 m 3.1945 m 1.9155 vw 3.1400 w 1-8595 w 3.1003 m 1.8250 0w 3.0403 w 1.7889 0w 3.0054 m 1.7480 vw 2.9750 m 1.6590 vw 66‘ Appendix L: of Vernier Sm YBr 5 13 X-Ray Powder Diffraction Pattern 0 d-value (A) Observed h h L Calculated Observed Intensity- 5 1 0 5.5356 5.5970 uw 1 1 I 5.2191 5.2038 0w 5 1 1 4.2826 4.2885 w 7 i‘I 4.2114 4.2478 w 1 1 2 3.3671 3.3755 w 8 0 2 3.3525 3.3581 w 2 2 I 3.2234 3.2217 w 3 1 2 3.1709 3.1843 w 7 1 2 3.1226 3.1164 w 4 2 1 3.0456 3.0350 m 11 1 1 3.0176 3.0291 m 18 i'I 2.9678 2.9702 w 6 2 1 2.8868 2.8698 0w 7 1 2 2.8020 2.8199 6 10 o 2 2.6763 2.6675 w 14 0 2' 2.6077 2.6308 w 2 2 2 2.6095 2.6044 um 12 2 0 2.5529 2.5686 w 4 2 2 2.4713 2.4650 m 12 0 2 2.4539 2.4687 m 8 2 2 2.4437 2.4378 w 3 1 3 2.4010 2.4008 w 67 68 Appendix L: (Cont'd): A d-value (A) Observed—_- h h L Calculated Observed Intensity 3 3 1 2.2854 2.2455 w 13 l 2 2.2334 2.2347 w 12 2‘2 2.2249 2.2319 w 20 0 0 2.1943 2.2021 w 7 3 I 2.1650 2.1659 uw 16 0 2 2.0786 2.0779 w 11 l 3 1.9281 1.9280 vw 15 3 0 1.8452 1.8470 um 24 0 0 1.8262 1.8278 um 13 1 4' 1.7128 1.7174 vw 3 3 3 1.6992 1.6985 vw 26 0 0 1.6857 1.6857 vw l7 3 1 1.6677 1.6722 vw 10 4 I 1.6340 1.6371 um 17 1 I 1.6030 1.6046 w 19 3 1 1.5835 1.5853 vw 15 3 3 1.5599 1.5607 um 10 2 4 1.4985 1.4977 vw 22 0 4 1.4852 1.4780 um 21 3 3 1.4038 1.4044 vw 22 2 I 1.3713 1.3750 vw Appendix M: X-Ray Powder Diffraction Pattern of Cubic HfBr 4 d-value (£) Observed h Z Calculated Observed Intensity 1 1 6.2937 6.3427 w 0 0 5.4662 5.4789 w 1 1 3.3022 3.2552 w 2 2 3.1500 3.0350 0w 2 1 2.9147 2.9231 w 0 0 2.7276 2.7380 vw 1 1 2.0991 2.1062 w 2 1 1.9933 1.9468 b 2 2 1.9004 1.8997 w 0 0 1.8185 1.8281 w 1 1 1.3431 1.3769 m 69 p 0 7 mmhom.N mmomo.N mNmHoc.OI thhmo.o mHhmmo.o M o VH hNoho.N mvhww.N hwmooo.o mmwNmo.c ommmmo.o N O OH mmHom.N NmmHm.N mmaooo.on hwmmho.o momvno.o N H h vmmmm.N mnmmm.N mvmcoo.c omHHho.o mMONho.o H N m mhbmm.N ONOBm.N mOHooc.OI mmmnwo.o omtho.o H.H MH vtho.m MHmNo.m mmqooo.01 NmHmmo.o mmmvoo.c H H HH mmmvo.m hmvm0.m mvvooo.o Nmmmmo.o QHvewo.o H N ¢ thNH.m mmmHH.m mvNooo.o hqwomo.o omOHmo.o W H h mmONH.m vamH.m hmwooo.OI hoommo.o QHmmmo.o N H m NMMNN.m ohHNN.m mmoooo.o HOHhmo.o othmo.o H N N mNmmm.m mHmmm.m mmoooo.ol mmmNmo.o OHmNmo.o M H m o¢Nmm.m MHmmm.m thooc.0I mthmo.o OHmNmo.o M_o m nahmm.m ommhm.m HmNooo.0I HmMNmo.o ohono.o W_H H HVHHN.¢ thvN.v Hhmcoo.OI Hmvmmo.o ommNmo.o H.H h omNmN.v HmmmN.v mmoooo.o1 mvamo.o mmNNmo.o H H m homHN.m omMON.m mNHooc.o HthNo.o momHNo.o H.H H vommm.m hammm.m NNvooo.OI HmmmHo.o mmmmHo.o o H m @O#mH:OHMU wm>nmmno OOGOHOMHHQ GOUMH§OHMU 00>Hmmno N a : Amy mmnHm>lc o :Hm N mumqumumm OOHUHMH MHHmMmEm mo usmsmsHmmm mmumzvm ummma "z chsmmm¢ 71 “<1 mmsam>un O mmnvm.H mmmvm.H mnoooo.o mvahH.o mHmMNH.o N H m mnmvm.H mmmvm.H hNNooo.OI mvthH.o onmnH.o H m MH Hvam.H mmovm.H ommooo.ol m¢thH.o aHmMFH.o b m mH NHmNm.H vomNm.H VHoooo.o mmmmmH.o oowmmH.o m H HH mmmho.N mmhbo.N hmooco.o MNMNMH.O 0anmH.o N o cH momoH.N ommmH.N mmoooo.OI mommNH.o ehvoNH.c H m h thmH.N hoNON.N mmHHoo.OI vomMNH.o mVMNNH.o H_H mH mvaH.N hONON.N HmHHoo.OI ovaNH.o m¢MNNH.o o o oN MbHNN.N HmHmN.N vaHoo.OI mmHoNH.o mmomHH.o H H NH vaNN.N HaHmN.N omhooc.ol mvmmHH.o mmomHH.o W N NH vaMN.N Mbva.N mMHoco.OI mmmmHH.o mahmHH.o N H MH mwva.N mmm¢N.N onmooo.o mmomHH.o mmuhHH.o N o «H vvmmN.N mmmeN.N HVMHoo.o memHH.o mmthH.o HVM m HOHov.N mmoov.N oHoooo.o vaNOH.o ommNOH.o M H m vhmvv.N mmhmv.N. vaooc.o hvmmmo.o mNmmmo.o m.N m cammv.N hmmm¢.N thHoo.o1 wwamo.o ommwmo.o N 0 NH vMHhv.N Hommv.N oomooo.c othmo.o othmo.o N N v mmNmm.N wwwmm.N MHHHoo.cI MMOHmo.o ONmmmo.c o N NH Nmmom.N hmvom.fl mwmooo.o mNHhmo.o ehvhmo.o m N N UmumHSOHMU fim>ummno OOGOHOMMHQ fimumHonmu cm>ummno N 3.: saw Ac.ucoov "z prcmmmd 72 mmmmv.H mcmhv.H MVHNoo.o hmvmmN.o ommHhN.o M N mN MNmmv.H mombv.H onNoo.o vmmmmN.o ommHhN.o N o NN Hhhmv.H Hhhm¢.H Hocooo.o mmvva.o omvvoN.o H v «H ommmv.H Hhhmv.H HmNooo.o mONwoN.o omvva.o v N CH HNmmm.H hmoom.H NMNooo.OI hHmmvN.o mpmmvN.o M m mH Nmmmm.H Cmmmm.H Hmmooo.OI ocmmMN.o meowMN.o H m mH Homom.H Nm¢om.H HmNooo.oI OHNOMN.o mHvOMN.o o w NH Homom.H Novom.H vmvooo.OI meOMN.o mH¢OMN.o N H 5H aNmmo.H MHhmo.H NvOHoo.OI HovNNN.o mmmHNN.o m N wH HNvmm.H MHhmm.H Hmhooo.0I omHNNN.o mmMHNN.o N N CH mmmmm.H MHhmw.H mmmooo.OI NNNNNN.o mmMHNN.o H v 0H Mhhoo.H HNth.H HvHHoo.oI HHMMHN.o chHNHN.o H m 5H thmw.H mnmmm.H mooooo.OI thmON.o mhhwoN.o o o mN mHmmm.H hvmmo.H voHooo.o mmvaN.o mmomON.o m m m Q¢MHh.H oquh.H thooo.o1 thNON.o omHHoN.c M_m h omNHh.H awhHh.H mmOHoowol MMNNON.o QMHHON.o .N H MH ONmNm.H mthm.H mHmooo.OI hmmhhH.o mumbhH.o o o vN @OUMHSOHMU vm>menO mocmummmwo kumHnono Um>ummno N a : Cam Adv mmsHm>IU O A.@.ucoov "z vacmmmd 73 HOme.H mmehm.H NoMHoo.ol NhHmHm.o OHmMHm.o M H 5H hNHbm.H mmvhm.H matho.0I MHmmHm.o OHNMHm.o N N NN mhvov.H mmwov.H thooo.o mmmocm.o oncom.o M H mH memov.H mmwow.H Novooo.o mvmoom.o OHmoom.o v m h mhmov.H mmwov.H mmNooo.OI mmoHom.o onoom.o M m HN ovumHsono Um>ummno mo:OHOHMHQ QOHMHDOHMU pw>ummno N a : Amy mmsHm>I© oN :Hm 1.6.ucoov “z ansmmm¢ 03174 4810 3 1293 m”|l A“ R” 8'!" H M H u H U" E“'1 vllll H M fl " "