Point-group theory tables

著者

書誌事項

Point-group theory tables

Simon L. Altmann and Peter Herzig

Clarendon Press , Oxford University Press, 1994

大学図書館所蔵 件 / 全12件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

These tables are a major improvement on those previously available. First, they are far more extensive, including 75 point groups and their double groups. (All the cyclic, dihedral, and related groups up to and including proper rotation axes of order 10, plus all the cubic and icosahedral groups.) Secondly, they are far more precise and complete. All symmetry operations are uniquely parametrized and particular attention has been paid to keeping as far as possible phase factors constant on subduction along group chains. For each group the following tables are also given: character tables, tables of cartesian tensors and s, p, d, and f functions, symmetrized bases, direct product of representations, subduction tables, including subduction from O(3), and Clebsch-Gordan coefficients. A theoretical introduction contains an extensive list of all results of importance in the subject, a very clear statement of all the conventions required, and detailed instructions, with examples, of how to use the tables. A large number of fully solved problems is provided and stereographic projections and three-dimensional illustrations and examples are given for each group. This book is intended for graduate students and research workers in theoretical chemistry, physical and inorganic chemistry, molecular spectroscopy, organic chemistry, and solid state physics.

目次

Preface. 0: How to use this book. 1: Introduction. 2: Basic group theory: definitions and formulae. 3: Parametrization of symmetry operations. 4: Symmetry operations: notation and properties. 5: Notation for point groups, single and double. 6: Derivation of the proper and improper point groups. 7: Direct product, semidirect product and coset expansion forms of the point groups. 8: The crystallographic point groups. 9: Group chains. 10: Double groups. Spinor and projective representations. 11: The matrices of SU(2) and SU'(2). 12: The continuous groups. Rotations, their matrices, and the irreducible representations of O(3). 13: Bases: spherical harmonics, spinors, cartesian tensors, and the functions s, p, d, f. 14: Notation for the irreducible representations. 15: Stereographic projections and three-dimensional drawings of point groups. 16: How to use the tables. 17: Problems. References. The Tables

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