Microwave Spectroscopy - Obtaining Info When Isotope Absorptions Are Known

[horseb0x]

Heres the question

I know that I'm supposed to derive these values from the fact that I know the absorptions of 2 different isotopes of the diatomic molecule but I don't know how to go about doing it. I can obtain the masses of hydrogen, deuterium and iodine from the periodic table but I don't know how I can use this data to get the internuclear distances.

[Qfwfq]

Cute QM problem involving semiclassical arguments! :)

 

I don't know how I can use this data to get the internuclear distances.

I'm not sure if you mean this is all that you've left to figure out or if you can't get the previous two values. In the former case, knowing each moment of inertia, you can use these along with the masses to get the distance by employing totally classical mechanics; consider each atom a point mass located at its centre because the rest of the world (well, the EM field) cares very little about the mass distribution of the orbitals.

 

Does that help?

 

P. S. I suspect there is a typo in the third value for the deuterium case, must be 78.084 I think.

Edited January 22, 2011 by Qfwfq
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