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Quantum Hamiltonian (Symmetric Top) - MaRDI portal

Quantum Hamiltonian (Symmetric Top) (Q6674552)

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quantum-mechanical represention of a molecule as a symmetric top
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Quantum Hamiltonian (Symmetric Top)
quantum-mechanical represention of a molecule as a symmetric top

    Statements

    H^=AJA^2+BJB^2+CJC^2
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    A symmetric top is a molecule in which two moments of inertia are the same. By definition a symmetric top must have a 3-fold or higher order rotation axis. In practice, spectroscopists divide molecules into two classes of symmetric tops: Oblate symmetric tops (saucer or disc shaped), e.g., C6H6, and Prolate symmetric tops (rugby football, or cigar shaped), e.g. CH3Cl.
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