Question

Question#2

Solve the Kronig-Penny model with E<V₀ and plot the total energy of electron as a function of its crystal momentum k. The periodic potential in the Kronig-Penny model is shown in the following figure.

Question#2 Solve the Kronig-Penny model with E<Vo and plot the total energy of electron as a function of its crystal momentum k. The periodic potential in the Kronig-Penny model is shown in the following figure Hint 1: the solution of the wavefunction in a periodic potential is a block wave Hint 2: match boundary conditions to determine the coefficients Hint 3: in a set of simultaneous, linear, homogeneous equations, there is a nontrivial solution if, and only if, the determinant of the coefficients is zero Hint 4: plotting E-k relation using Matlab, Excel, or any software program Hint 5: you will need to assume a, b, and Vo when plotting E-k relation, use number that you deem reasonable Vr) (a + b)-b 0

Answer 1

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