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Electronic structure and equilibrium properties of GaxAl1-xN alloys.

First-principles calculations by means of the linear-muffin-tin-orbital method were carried out of the electronic band structures, equilibrium lattice constants, energies of formation, and bulk moduli of Ga x Al 1-x N alloys in zinc-blende-derived structures with a specific cation ordering. The miscibility and band-gap bowing of disordered alloys were studied using a cluster expansion method. Complete mutual solubility is predicted to occur at typical growth temperatures. The band gap is found to exhibit a weak bowing and to change from being indirect (Γ→X) for x=0 to direct at Γ at a concentration of x≃0.4