We carried out first-principles calculation of (AlAs)(n)/(AlP)(n) superlatt
ices (SLs) (n = 1-5) using the full-potential linearized augmented plane-wa
ve (FLAPW) method. The SLs are assumed to grow epitaxially on the (001) GaA
s and GaP substrates. indirect-to-direct transition was observed for n grea
ter than or equal to 2 on the (001) GaAs substrate while all SLs grown on t
he (001) GaP substrate were indirect gap semiconductors. Optical properties
were evaluated by the square of vertical transition matrix elements. The m
atrix elements of (AlAs)(n)/(AlP)(n) SLs grown on (001) GaAs exhibited osci
llating behavior. The matrix elements for odd n are two orders larger than
those for even.