We have developed an iterative one dimensional model to study the narrow
band-gap and the associated non-parabolic dispersion relations for bismuth
antimony nanowires. An analytical approximation has also been developed. Based
on the general model, we have developed, we have calculated and analyzed the
electronic phase diagrams and the band-gap/band-overlap map for bismuth
antimony nanowires, as a function of stoichiometry, growth orientation, and
wire width