Symmetry and Structure of Cubic Semiconductor Surfaces

A systematic stereographic approach to the description of surface symmetry and structure, applied previously to face-centered cubic, body-centered cubic, and hexagonal close-packed metals, is here extended to the surfaces of diamond-structure and zinc-blende-structure semiconductors. A variety of symmetry-structure combinations are categorized and the chiral properties of certain cases emphasized. A general condition for nonpolarity in the surfaces of zincblende materials is also noted.