The energy of the harmonic oscillator is E=(n+!)hy where n is the quantum number equal to 0, 1, 2, . Note: Try to solve this problem in a generic way. What that means is, don't just solve it for a special case the gap between n =1 and n = 2. You want to solve it in such a way that you get a formula in terms of n (if appropriate) so that you could calculate any energy gap. magine two energy levels that are adjacent to each other. What is the gap in energy between the two levels? (That is, what is AE?) hv O nhu O hv O (n+ 1)hv

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Chapter1: Chemical Foundations
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The energy of the harmonic oscillator is E= (n+ hv
where n is the quantum number equal to 0, 1, 2, ...
%3D
Imagine two energy levels that are adjacent to each other. What is the gap in energy between the two levels? (That is, what is AE?)
Note: Try to solve this problem in a generic way. What that means is, don't just solve it for a special case the gap between n = 1 and n =
2. You want to solve it in such a way that you get a formula in terms of n (if appropriate) so that you could calculate any energy gap.
n+
O nhv
hv
O (n+ 1)hv
Transcribed Image Text:The energy of the harmonic oscillator is E= (n+ hv where n is the quantum number equal to 0, 1, 2, ... %3D Imagine two energy levels that are adjacent to each other. What is the gap in energy between the two levels? (That is, what is AE?) Note: Try to solve this problem in a generic way. What that means is, don't just solve it for a special case the gap between n = 1 and n = 2. You want to solve it in such a way that you get a formula in terms of n (if appropriate) so that you could calculate any energy gap. n+ O nhv hv O (n+ 1)hv
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