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Molecules and Crystals

Problem 6.170

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\Delta \omega=5.47 \cdot 10^{12} \mathrm{~s}^{-1}

Reveal Answer
M=md2E/2=3.5ℏ, where m is the mass of the mole- M=\sqrt{m d^{2} E / 2}=3.5 \hbar, \text { where } m \text { is the mass of the mole- }
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