Expressions for the magnetic anisotropy energy of strained fcc, bcc, a
nd simple cubic superlattices are obtained for the (100), (011), and (
111) orientations. The theory is based on summing pair interactions us
ing the potential (M.R)2, where M is the magnetization and R is the ve
ctor connecting the two atoms. The theory is shown to predict the orie
ntation independence of the interface anisotropy in a system of Co/Pd
superlattices, in agreement with experiment and detailed electronic st
ructure calculation.