The lecture notes presented in this volume were developed over a period of time that originated with the investigation of a research problem, the distortion from NiAs-type to MnP-type, the group-theoretical implications of which were investigated in collaboration with Professors F. Jellinek and C. Haas of the Laboratory for Inorganic Chemistry at the University of Groningen during the 1973-1974 year. This distortion provides the major example that is worked through in the notes. The subject matter of the notes has been incorporated in part in the lectures of a course in Solid State Chemistry taught several times at Iowa State University, and formed the basis of a series of lectures presented at the Max-Planck Institute for Solid State Research in Stuttgart during 1981- 19821 and as part of a Solid State Chemistry course taught during the spring of 1982 at Arizona State University in Tempe. I wish here to express my gratitude to the Max-Planck Institute for Solid State Research and to Arizona State University for the opportunity and support they provided during the time I was developing and writing the lecture notes of this volume. I wish also to thank the many colleagues and students who have offered comments and suggestions that have improved the accuracy and readability of the notes, and who have provided stimulation through discussion of the ideas presented here. am especially indebted to Professors C. Haas and F.
The field of Physical Chemistry has developed through the application of theories and concepts developed by physicists to properties or processes of interest to chemists. Physicists, being principally concerned with the basic ideas, have generally restricted their attention to the simplest systems to which the concepts applied, and the task of applying the techniques and theories to the myriad substances and processes that comprise chemistry has been that of the physical chemists. The field of Solid State Chemistry has developed with a major impetus from the synthetic chemists who prepared unusual, novel materials with the principal guid ing ideas growing out of an understanding of crystal structure and crystal structure relationships. The novel materials that pour forth from this chemical cornucopia cry out for further characterization and interpretation. The major techniques for the characterization and interpretation of crystalline solids have been developed in the fields of Solid State Physics and Crystallography. Thus, the need arose for expanding the realm of Physical Chemistry from its traditional concern with molecules and their properties and reactions to include the physics and chemistry of crystalline solids. This book deals with the applications of crystallography, group theory and thermodynamics to problems dealing with non molecular crystalline solids.
This book is about the underlying principles of symmetry, thermodynamics and electronic structure that pertain to crystalline solids. After years of teaching graduate students in the areas covered, the author has a good idea of what major notions of group theory and thermodynamics are useful to students of solid state chemistry, and of what fundamental concepts are necessary for a clear understanding. Thus the book deals with lattice symmetry, space groups, reciprocal space, Landau theory, X-ray diffraction, heterogeneous equilibria and simple band theory, in a rigorous and thorough treatment.
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