Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups

Abstract

To take account of the electron spin in band theory, a method is outlined which allows us to construct character tables for the double space groups of the simple, face-centered, and body-centered cubic, diamond, and hexagonal close packed lattices. The effects of time reversal are also considered. Particular attention is given to the splitting of otherwise degenerate bands by the spin-orbit coupling.