Point Group Theory Tables

A reference work containing 75 point groups and their double groups. All symmetry operations are parametrized and their multiplication tables are given. Full matrix representations are provided and detailed instructions are given, along with examples, of how to use the tables.

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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.