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Solution: Consider the spacing of vibrational energy levels of Pb and ...

Question

Consider the spacing of vibrational energy levels of Pb and Al based on the quantum harmonic oscillator model for the interatomic bound. Pb has a stiffness of ks ∼ 5N/m and an atomic mass of 207 mN (where mN is the mass of a nucleon). For Al, the stiffness is ks ∼ 17N/m, and the atomic mass is 27 mN. Determine the ratio of the energy level spacings, ΔEAl / ΔEPb. Choose one:

1. 0.5

2. 1

3. 6

4. 1.33

5. 2

6. 5.11

7. 3.33

8. 4