Rotational and Vibrational Temperatures of HD and D2 Molecules

Question:
Given that the values of rotational temperature Θrot and vibrational temperature Θvib for H2 are 85.3K and 6215K, respectively, calculate these quantities for HD and D2.

Solution:
By considering vibrational mode of a molecule as a quantized simple harmonic oscilator, the angular frequency of the oscilator, is given by:

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