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## Homework Statement

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 =r

_{o}by the expression,

*v*= (1/2pi).sqrt([d

^{2}V/dr

^{2}

_{r=ro}/(m)])

where m is the reduced mass

## Homework Equations

None given

## 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= 2pi

*v*