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) |
There are two
types of internal excitations possible for most
molecules. “Rotational” excitations have energies like
Eℓ = [ℏ2/(2I)][ℓ(ℓ + 1)], where
ℓ = 0, 1, etc. “Vibrational” excitations go like En
= ℏω(n + 1/2), where n = 0, 1, etc.
The spacing between rotational levels is typically
about 10−3 eV, while the spacing between
vibrational levels is more like 0.1 eV. The transition
selection rules are Δℓ = ±1, and Δn = ± 1.
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