I do not understand the relation which you try to put up with the hydrogen atom. In the hyrdogen atom the energy is due to the Coulomb attraction.
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As far as I understand your question, you are interested in the rotational energy instead. Sign up to join this community. The best answers are voted up and rise to the top.
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Angular Momentum Theory for Diatomic Molecules : Brian R. Judd :
Waffle's Crazy Peanut 8, 6 6 gold badges 31 31 silver badges 68 68 bronze badges. Marty Green Marty Green 2, 1 1 gold badge 13 13 silver badges 23 23 bronze badges. It might make it clearer if you are making assumptions in the equation that HCl violates. If that changes by a factor of 2 then the energy is a factor 4 smaller. Fabian Fabian 1, 8 8 silver badges 12 12 bronze badges.
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- Symmetry of diatomic molecules.
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