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Show that the frequency intervals between the neighbouring spectral lines of a true rotational spectrum of a diatomic molecule are equal. Find the moment of inertia and the distance between the nuclei of a CH molecule if the intervals between the neighbouring lines of the true rotational spectrum of these molecules are equal to Δω = 5.47.1012 s-1 .

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and the selection rule ΔJ = 1 or J → J - 1 for a pure rotational spectrum we get

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