The geometry of coincidence-site lattices

The density of coincidence sites in cubic crystal lattice planes in coincidence-site-related crystals with a multiplicity less than or equal to 31 has been investigated. A comprehensive table of lattice planes with a high density of coincidence sites for each of the twenty-two coincidence-site relationships is presented. In addition a complete list of the alternative ways of describing the twenty-two coincidence-site relationships as defined by Friedel in 1926 is presented.