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The intensity weighted mean over the nuclear quadrupole hyperfine structure multiplet of a molecular rotational transition yields, to first order, the “undisturbed” rotational transition frequency. This fact may serve to effectively separate the two interrelated problems of calculating the rotational constants of the molecule from the “undisturbed” frequencies and the nuclear quadrupole coupling parameters from the multiplet splitting patterns.

A Note on the Evaluation of Nuclear Quadrupole HFS Multiplet Patterns of Molecular Rotational Transitions