Show that the frequency of oscillation, v, of a molecule is related to the form of the inter - atomic potential V(r) about the equilibrium separation, r =ro by the expression,
v = (1/2pi).sqrt([d2V/dr2r=ro/(m)])
where m is the reduced mass
The Attempt at a Solution
I really don't know where to start it was set as a 'challenge question' in a book i have borrowed.
I was thinking the second derivative had something to do with the spring constant. Or it maybe involved the Morse or Leonard Jones Potential. The thing is I don't know how to relate any of these things.
Is the term in square roots the frequency? I.e based on the formula w= 2piv