Group Theory and Its Applications to Molecules and Defects in Solids

摘要

The application of the theory of crystal point groups to the properties of molecules and defects in solids is described. The first part of the text discusses the formal group theory required as a basis for applications in this field. It covers the basics of elementary group theory, the theory of representations, the properties of the thirty-two point groups and the incorporation of electron spin in the group formalism. The second part discusses application of the theory to the physical properties of crystals, crystal field theory, molecular orbitals, ligand field theory, vibrations and perturbation experiments (e.g. uniaxial stress and Zeeman effects). The use of irreducible tensor operators and time-reversal symmetry are also discussed.