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Derive an order of magnitude estimate for a harmonic oscillator

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The oscillation frequencies of a diatomic molecule are typically 10^12hz-10^14Hz. Derive in order of magnitude estimate for the harmonic oscillator constant K for such molecules.

I need to know how to do this for a test tomorrow. So detailed solutions please.

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The solution derive an order of magnitude estimate for a harmonic oscillator.

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The frequency of a harmonic oscillator is

f = 2π*sqrt(K/M) (1)

where M is the effective mass.
From equation (1) we get

K = M*(f/ ...

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