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vibrational quantum number

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vibrational quantum number [vī′brā·shən·əl ′kwän·təm ‚nəm·bər]
(physical chemistry)
A quantum numbervcharacterizing the vibrational motion of nuclei in a molecule; in the approximation that the molecule behaves as a quantum-mechanical harmonic oscillator, the vibrational energy ish(v+ ½)ƒ, wherehis Planck's constant and ƒ is the vibration frequency.
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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).
A spectroscopic determination of scattering lengths for sodium atom ... by Phillips, William D. / Journal of Research of the National Institute of Standards and Technology
The [beta] values are expected to be independent of the vibrational quantum numbers of the ionic state.
Vibrational branching rations and asymmetry parameters in the ... by Dehmer, J.L. / Journal of Research of the National Institute of Standards and Technology
 
 
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