ESSAYS IN STRUCTURAL CHEMISTRY DR L. A. WOODWARD Essays in Structural Chemistry Edited by A. J. DOWNs-Inorganic Chemistry Laboratory, University of Oxford D. A. LONG-SchoolofChemistry, University of Bradford L. A. K. STAVELEY-Inorganic Chemistry Laboratory, University of Oxford PLENUM PRESS NEW YORK © A.J. Downs, D. A. Long, L. A. K. Staveley, 1971 First published 1971 Softcover reprint of the hardcover I st edition 1971 All rights reserved. No part of this publication may be reproduced or transmitted, in anyform or by any means, without permission. u.s. edition published by Plenum Press, a division of Plenum Publishing Corporation, 227 West 17th Street, New York, N.Y. 10011. ISBN-13: 978-1-4684-1904-7 e-ISBN-13: 978-1-4684-1902-3 001: 10.1007/978-1-4684-1902-3 Library of Congress Catalog Card Number 76-144136 These essays are presented to L. A. WOODWARD on the occasion of his retirement by some of his colleagues and former students Contents EDITORIAL FOREWORD '(iii PREFACE xv CHAPTER 1 Molecular Coree fields and valency 1 J. W. LINNETI', Department of Physical Chemistry, University of Cambridge A. Introduction B. Determination of force constants C. The valence force field D. Examples of the use of force constants CHAPTER 2 The hyper RaJnan e&"ect 18 D. A. LONG, School of Chemistry, University of Bradford A. Introduction B. The origin of the hyper Raman effect C. Classical treatment D. Density matrix treatment E. Selection rules, symmetry and activity F. Experimental Appendix CHAPTER 3 Vibrational assigmnents in smalllDolecules 56 W. H. FLETCHER, Department of Chemistry, University of Tennessee A. Introduction B. General principles C. Linear molecules vii Vlll CONTENTS D. Prolate symmetric tops E. Oblate symmetric tops F. Spherical tops G. Asymmetric tops H. Force fields and vibrational assignments I. Conclusions CHAPTER 4 Interferometry: Experimental techniques and appllcations to inorganic structures 91 G. W. CHANTRY, National Physical Laboratory, Teddington A. Introduction B. Interferometric methods in the far-infrared region C. Some practical examples CHAPTER 5 Single-crystal and high-temperature gas-phase Raman spectroscopy III I. R. BEATTIE, Department of Chemistry, University of Southampton A. Introduction B. High-temperature gas-phase Raman spectroscopy C. Single-crystal Raman spectroscopy CHAPTER 6 High-resolution Raman spectroscopy of gases 135 H. G. M. EDWARDS, School of Chemistry, University of Bradford A. Introduction B. Historical development C. Experimental arrangement and advent of laser sources D. The determination of structural parameters E. Theory and examples of rotational Raman spectra F. Future perspectives CHAPTER 7 Intermolecu1ar force effects in the Raman spectra of gases 163 C. G. GRAY, Department of Physics, University of Guelph, Ontario, AND H. L. WELSH, McLennan Physical Laboratories, University of Toronto A. Introduction B. The effect of pressure on line and band shapes C. Frequency shifts due to isotropic intermolecular forces CONTENTS IX CHAPTER 8 Raman spectra of alkali halides 189 R. S. KRIsHNAN, Department of Physics, Indian Institute ofS cience, Bangalore A. Introduction B. Historical background C. Experimental technique D. Theoretical considerations E. Raman spectra-Theoretical considerations F. Experimental results G. Mixed crystals and crystals doped with impurities or defects H. Future trends CHAPTER 9 Atomic interactions in molecular, covalent, ionic and metallic crystals 227 SAN-ICIDRO MIZUSHIMA AND lSAO ICHISHIMA, Tokyo Research Institute, Yawata Iron and Steel Co., Kawasaki-City A. Introduction B. Molecular crystals -C. Covalent and ionic crystals D. Types of atomic aggregate and the Periodic Table E. Basic nature of metallic crystals F. Atomic aggregates with closed d-shells G. Crystal structure and cohesive energy oft ransition metals H. Contribution of d-electrons to the atomic aggregation of transition elements I. Crystal structure and cohesive energy of lanthanides J. The nature of 3d- electrons and the transformation of Fe K. Conclusion CHAPTER 10 Structural aspects of the Mossbauer eft'ect 244 J. F. DUNCAN, Chemistry Department, Victoria University of Wellington A. Introduction B. Method C. Applications in chemistry D. Conclusions CHAPTER 11 Non-stoichiometry in 8uorite structures 264 L. E. J. ROBERTS, Atomic Energy Research Establishment, Harwell A. Introduction B. Anion-excess phases C. Anion deficient phases x CONTENTS CHAPTER 12 Some aspects of solvation 296 H. J. V. TYRRELL, Department of Chemistry, Chelsea College ofS cience and Technology A. Introduction B. Thermodynamic aspects of solvation C. Transport coefficients and solvation D. Nuclear magnetic resonance spectroscopy and solvation E. Conclusions CHAPTER 13 Vibrational spectroscopic studies of complexes in SOIUtiOD 327 D. N. WATERS, Department ofC hemistry, Brunei University A. Introduction B. Quantitative equilibrium studies C. Structural aspects; solvent effects and solution inter- actions D. Structural aspects; individual complexes CHAPTER 14 Vibrational studies of the Jahn-Teller effect 355 J. A. CREIGHTON, University Chemical Laboratory, University of Kent, Canterbury A. Introduction B. Vibrational properties of electronically degenerate molecules C. Experimental results: strong Jahn-Teller effects D. Experimental results: weakJahn-Teller effects E. Conclusion CHAPTER 15 Spectroscopic properties of the diatomic oDeles of the transition elements 383 R. F. BARROW, Physical Chemistry Laboratory, University ofOiford A. Introduction B. Methods of study C. Properties of the ground states D. Electronic transitions E. Hyperfine structure F. Conclusions CONTENTS D CHAPTER 16 Vibrational studies or metal-metal bondiag 404 M. J. WARE, Department of Chemistry, University of Manchester A. Introduction B. Characteristics of metal-metal vibrations c. Interpreted spectra D. Force constants and other bond parameters CHAPTER 17 Infrared and Raman spectra or organometallic and related compounds 433 J. R. HALL, Department of Chemistry, University of Queensland A. Introduction B. Linear dimethylmetal compounds C. Methyl-platinum(IV) compounds D. Trisilyl compounds of Group V elements E. Trigermyl compounds of Group V elements CHAPTER 18 Structural aspects or sulphur-fluorine chemistry 457 H. L. ROBERTS, Mond Division, Imperial Chemical Industries, Runcom A. Introduction B. Hexavalent sulphur fluorides C. Tetravalent sulphur fluorides D. Divalent sulphur fluorides