(b) the vibrational quantum number
can only change by one; for Stokes
In accordance with current standard notation in spectral analysis, here we use exclusively symbols J for rotational quantum number and v for vibrational quantum number, regardless of the symbols employed in the original sources.
621) actually applied [(J + 1/2).sup.2] rather than J (J + 1), consistent with previous experimental work in which he had proved the necessity of half-integer vibrational quantum numbers (Mulliken, 1924).
where v is the ground state vibrational quantum number
, [E.sub.0] is the excited-state zero-phonon energy, [omega] is the ground-state harmonic vibration frequency (in [cm.sup.-1]units) and [chi] is the anharmonicity constant.
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 .
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.