Using a first-principles generalized one-dimensional Ising model we have st
udied the band structure and stability of two types of zinc-blende-based po
lytype series: type-a GaInP2, and type-b CuInSe2. The interaction parameter
s for the formation energy are found to be short range, while the convergen
ce is slower for the band-gap and conduction-band energies of the type-a Ga
InP2 polytypes. We predict that the CuAu-like phase can coexist in nominall
y chalcopyrite CuInSe2 and CuInS2, while such coexistence is less likely in
CuGaSe2. We also predict that type-II band alignment can exist between dif
ferent ordered type-a GaInP2 polytypes, despite that the band alignment bet
ween ordered and disordered GaInP2 are predicted to be type I. [S0163-1829(
99)51804-3].