vibrational quantum number

vibrational quantum number

[vī′brā·shən·əl ′kwän·təm ‚nəm·bər]
(physical chemistry)
A quantum number v characterizing the vibrational motion of nuclei in a molecule; in the approximation that the molecule behaves as a quantum-mechanical harmonic oscillator, the vibrational energy is h (v + ½)ƒ, where h is Planck's constant and ƒ is the vibration frequency.
References in periodicals archive ?
This sub-band has vibrational quantum number v = 1 and subsequently, v values can be assigned to the all lower energy sub-bands (Fig.
Here, we assign the vibrational quantum number n to a diatom if its energy is closest to the one of the n-th state of the corresponding quantum oscillator [28].
Eventually note that the vibrational quantum number n appears to be here the number of quantum states allowed to the oscillator.
In addition, it is labeled with the vibrational quantum number v and rotational quantum number J', where J' = F' - I and I is the total nuclear spin angular momentum quantum number (13).
The [beta] values are expected to be independent of the vibrational quantum numbers of the ionic state.

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