A large supercell pseudopotential technique is used to predict optical and
electronic properties of (Ga1-yIny)(As1-xNx) alloys-with small x and y comp
ositions-that are either in their disordered form or exhibiting a particula
r atomic ordering, namely one-dimensional nitrogen chains. In addition to t
he previously reported quantum couplings between electronic states with dif
ferent reciprocal k points, another mechanism is found to participate in th
e strong decrease of the band gap of (Ga1-yIny)(As1-xNx) alloys with respec
t to GaAs. This mechanism only involves the reciprocal Gamma point, and is
a nitrogen-induced shift of the conduction band minimum of GaAs. The existe
nce of these two effects-quantum couplings and nitrogen-induced shift-can b
e easily understood within the framework of perturbation theory. Furthermor
e, atomic ordering in (Ga1-yIny)(As1-xNx) alloys is found to strongly alter
the band-gap and wave-function localization, by modifying the quantum coup
lings.