Quantum Hamiltonian (Symmetric Top)

Available identifiers

WikidataQ904380 ScholiaQ904380MaRDI QIDQ6674552

quantum-mechanical represention of a molecule as a symmetric top

Description

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.

---

Defining Formula: $\hat{H}=A{\widehat{J_A}}^2+B{\widehat{J_B}}^2+C{\widehat{J_C}}^2$

$A$ symbol represents Rotational Constant

$B$ symbol represents Rotational Constant

$C$ symbol represents Rotational Constant

$J_A$ symbol represents Quantum Angular Momentum Operator

$J_B$ symbol represents Quantum Angular Momentum Operator

$J_C$ symbol represents Quantum Angular Momentum Operator

$\hat{H}$ symbol represents Quantum Hamiltonian Operator

---

---