Point-Group Theory Tables

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