Question

Consider a 2-D square lattice, periodicity (x,y)=(a,a), with energy contours shown. These were plotted using the 2-D Feynman model with E = E1 + Ax (1 – Cos[kx a])/2 + Ay (1 - Cos[ky a])/2, where Ax = h²/2m* (π/a)² and Ay = h²/2m* (π/a)², (π/a)² with a=1 nm and E1=0. The plot shows energy in eV.

Plot the E vs k curve along the G-> M direction.

Answer 1

To plot the E vs k curve along the G->M direction for a 2-D square lattice, calculate the energy values at different k points using the given equation and provided constants.

Step-by-step explanation:

The given question concerns the plot of the E vs k curve along the G->M direction for a 2-D square lattice. The energy contours are determined using the 2-D Feynman model with a specific equation. To plot the curve, we need to calculate the energy values at different k points. Starting from the G point, we can incrementally calculate the energy using the provided equation and the given values of A and E1.