Equispaced level in the quantum well calculated for seven semiconductor ternary alloys conduction band

A model of equispaced-level conduction band in semiconductor quantum well (QW) nanostructures is derived. The procedure starts with the effective-mass Schrodinger equation, with the local conduction-band edge as the potential experienced by an electron in the QW. Then the effective-mass Schrodinger equation with linear harmonic potential is made to coincide with it . In this study, an attempt has been made to model some semiconductor ternary alloys (A$_{\mathrm{x}}$B$_{\mathrm{1-x}}$C) using this procedure, thereby adding to the varieties of QW nanostructures designs in existence. Two models are derived, one with a confining potential that may be realized by appropriate grading of the semiconductor alloy and the other with a non-confining potential where the electron effective-mass tends to zero as z tends to infinity [m($z\to \pm \infty )\to 0)$. This latter type of model is not realizable.