Energy eigenvalues and density of states of carriers in a finite barrier triangular quantum wire embedded inside a
rectangular quantum wire are numerically investigated using finite difference technique (FD-Q). Time-independent
Schrödinger’s equation is solved with appropriate boundary conditions for computation of lowest three eigenstates. The
wire is made of lower bandgap GaAs material surrounded by wider bandgap Al<sub>x</sub>Ga<sub>1-x</sub>As, and the analysis is carried out
by taking into consideration of the conduction band discontinuity and effective mass mismatch at the boundaries. The
eigenvalues and the density of states are plotted as function of wire dimension and mole fraction (x). The results are also
compared with those obtained using rectangular quantum wire.