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The unusual infrared emission patterns of CH$^+$, recently detected in theplanetary nebula NGC 7027, are examined theoretically with high-accuracyrovibrational wavefunctions and $ab$ $initio$ dipole moment curves. Thecalculated transition dipole moments quantitatively reproduce the observed$J$-dependent intensity variation, which is ascribed to underlying centrifugaldistortion-induced interference effects. We discuss the implications of thisanomalous behavior for astrochemical modeling of CH$^+$ production andexcitation, and provide a simple expression to estimate the magnitude of thiseffect for other light diatomic molecules with small dipole derivatives.

Anomalous intensities in the infrared emission of CH$^+$ explained by quantum nuclear motion and electric dipole calculations