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Kramers' Dispersion Relation

Describes the energy levels of rotational transitions in molecules, crucial for interpreting IR spectra and accounting for vibrational-rotational coupling.

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The statement of the theorem

For a rigid rotor molecule, the rotational energy levels

E(J)

are quantized by the rotational quantum number

J

. The energy levels are given by:\n

E(J) = B J(J+1)

\nwhere

B

is the rotational constant (in units of energy) and

J \in \{0, 1, 2, \dots\}

. The dispersion relation describes the spacing between these levels.

Source: Wikipedia