Question

Physical Chemistry: Ch. 10 Introduction to Quantum Mechanics

What is the ratio of energy levels (E_A/E_B ) for a state having quantum numbers {n_x , n_y , n_z } in boxes with different dimensions — Box A being 1 nm × 1 nm × 1 nm and Box B being 2 nm × 2 nm × 2 nm? (b) Are the degeneracies of each set of quantum numbers the same for Box A and Box B? Explain your answer.

Answer:

(a) 4 10.82 〈x〉 = (a/2), 〈 y〉 = (b/2), 〈z〉 = (c/2)