Symmetry and Its Applications in Science |
Contents
Basic group theory 1112 2 3 56 | 1 |
Basis vectors basis functions and quantum mechanics | 40 |
Crystal symmetry | 72 |
Copyright | |
8 other sections not shown
Common terms and phrases
A₁ A₂ angular momentum antisymmetric arbitrary atoms axes B₁ B₂ basis functions basis vectors belong block form Bravais lattice Brillouin zone C₁ C₂ Cartesian chapter character table column consider contains coordinates crystal cubic cyclic group D¹(R defined degenerate denotes determine diagonal dimension direct product direct product group direct product representation e₁ e₂ eigenfunctions eigenvalues eigenvectors electron energy levels equation example group D3 group theory Hamiltonian Hence improper rotation invariant inversion irreducible representations j₁ labelled lattice vector linear combination m₁ matrix element molecule normal modes obtain one-dimensional orbital physical plane point group possess projection operators quantum numbers r₁ R₂ rank tensor reducible S₁ S₂ scalar product shown in Fig similarity transformation space group subgroup symmetrized basis symmetry operations tensor tion transition translation v₁ vibrational x₁ zero ε ε