We report on our results obtained on the physical properties of BxInyGa[Formula: see text]N quaternary alloys in the zinc-blende phase that are thoroughly considered by the linearized augmented plane wave method, with a full potential within density functional theory, for different concentrations [Formula: see text] and [Formula: see text] as employed in the Wien2k code. We calculated the structural properties, including lattice constant [Formula: see text] and the bulk modulus [Formula: see text]. We computed as well the band structures, the dielectric constant and the refractive index of our quaternary alloys compounds. Finally, nonlinear dependence on the compositions [Formula: see text] and [Formula: see text] are investigated in-depth and still expecting for experimental confirmations. To the best of our knowledge, this is the first theoretical investigation of BxInyGa[Formula: see text]N alloy conducted to date.

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