Statistical thermo (diatomic molecule w/harmonic oscillator)

[jaejoon89]

How do you use the C_ij matrix to find the harmonic frequency (or frequencies) of a diatomic molecule, the OH (hydroxyl) radical?

(I have no idea how to set it up for this.)

This is from Feynmann's book on Statistical Mechanics:

http://books.google.com/books?id=Ou...vibrations of coupled oscillators has&f=false

 

[TeethWhitener]

A diatomic molecule has only one vibrational mode. The $C_{ij}$ matrix becomes a single number, $k$, the spring constant for the molecule. The harmonic frequency is given by $\omega = \sqrt{\frac{k}{m}}$.