Now consider a Rigid Rotor-Harmonic oscillator model for the HD molecule at temp

Question

Now consider a Rigid Rotor-Harmonic oscillator model for the HD molecule at temperature T=3 K. a) Where is each nuclei located relative to the center of mass in nm? b) What is the fraction of molecules in the first 5 rotational states in the vibrational ground state? c) Assuming that transition probabilities are independent of the rotational quantum number J, i.e., it only depends on the fraction/number of molecules in each J level, plot the rotational-vibrational spectrum as a function of wavelength for the n=0 to the n=1 vibrational transition, showing the rotational P and R branches for J=0 to 4 in the vibrational ground state? d) What is the average rotational energy assuming that only J=0 to 4 levels are populated in the vibrational ground state n=0? Thanks for answers...this question is made by our instructor so you may not find it from any publications.

Explanation / Answer

follow this Similar to most quantum mechanical systems our model can be completely described by its wave function. Therefore, when we attempt to solve for the energy we are lead to the Schr

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