11. As a model for a diatomic molecule, consider two identical point masses m co
ID: 2239676 • Letter: 1
Question
11. As a model for a diatomic molecule, consider two identical point masses m connected by a rigid massless rod of length R0. Suppose that this molecule rotates about an axis perpendicular to the rod through its midpoint. Use the Bohr quantization rule for angular momentum to obtain the allowed rotational energies in this approximation. Compare your result with the correct quantum mechanical treatment of this model. 12. For the model of a diatomic molecule described in Problem 11, derive an expression for the minimum energy required to excite the molecule into rotation about the internuclear line, that is, about the axis joining the two masses. Assume that the masses are uniform spheres of radius r . Apply your result to the hydrogen molecule, H2, by taking m equal to the proton mass and r equal to the nuclear size, about 10 fm.Explanation / Answer
The angular momentum L of this system is:
L = mv R?/2+mvR?+ 2
= mv R?
According Bohr
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