Physics H190, Spring 2002

Homework #3; due: April 24

1. A naive estimate of the ratio of the rotational constant B_e to the vibrational constant w_e for a diatomic molecule is B_e/w_e~(m/m)^1/2, where m is the mass of the electron, and m is the reduced mass of the two atoms. Examine the tables of molecular constants (2-3 molecules would be enough!), and compare the experimental data with the result of the naive estimate. Explain the difference.

2. Express the vibrational constants of a diatomic molecule w_e and w_ex_e in terms of the parameters of the Morse potential, D_e and b, and the reduced mass m.

3. Problem in preparation.