For the rigid rotor system, the energy levels get closer together as the length of the rotor decreases. True False
For the rigid rotor system, the energy levels get closer together as the length of the rotor decreases. True False
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Transcribed Image Text:For the rigid rotor system, the energy levels get closer together as the length of the rotor decreases.
True
False
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Step 1
False.
For the rigid rotor system, the energy levels are given by:
E = (h^2 / 8π^2I) * J(J+1)
where h is Planck's constant, I is the moment of inertia of the rotor, J is the total angular momentum quantum number, and π is pi.
The energy levels are evenly spaced, with a spacing of (h^2 / 8π^2I). The spacing does not depend on the length of the rotor, but rather on the moment of inertia I, which depends on the distribution of mass of the rotor.
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