How do you calculate bond length?
I am studying and doing a practice exam question. It asks to calculate the bond length of Br(2) molecule given the masses of (79)Br and (81)Br. It also gives the wavelength in joules for the rotational transition.
Is there some formula to solve for the bond length given these variables?
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Answer by Brandir
Well, from the rotational transition, you can calculate the rotational constant. From that rotational constant, you can calculate the moment of inertia, and from that you can calculate the bond length; the first two parts are just plugging values into formulae, the last part might be a little trickier, as you have to find expressions for the distances between the nuclei and the common center of mass that only depend on one variable (as you have a linear molecule, you are able to express those two distances as fractions of the internuclear separation (i.e. bond length) - these fractions do not vary with the bond length, so that makes things easier....)
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