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Obtain a formula for the ratio of the number of harmonic oscillators expected to populate the n=1,J=2 state relative to the n=0,J=3 state.

  figure4
Figure 1: n=0,J=3 State versus n=1,J=2 State

Use `exp()' for the exponential function, k for the Boltzmann constant, T for the temperature. Use B for the rotational constant, and w for the groundstate vibrational frequency(sqrt(k/mu)). Assume that both B and hbar*w share common units.
Evib = (n+1/2) * hbar * w
Erot = B*J*(J+1)
Ratio =

Query, is the above formula correct?


/ time_stamp:16:11 ,Monday, November 23, 20109
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