In the low temperature approximation, the molecule starts out in the " v " = 0 vibrational level of the ground electronic state and upon absorbing a photon of the necessary energy, makes a transition to the excited electronic state.
42.
Clearly, the difference in energy between two successive rows ( columns ) must remain constant for any column ( row ) in the table because this represents the energy difference of two given vibrational levels within the same electronic state.
43.
The probability that the molecule can end up in any particular vibrational level is proportional to the square of the ( vertical ) overlap of the vibrational wavefunctions of the original and final state ( see Quantum mechanical formulation section below ).
44.
However, a quantum-mechanical treatment of the energy introduces discrete vibrational levels onto this curve, and the lowest possible energy state of a molecule corresponds to the lowest vibrational energy level, which is slightly higher in energy than the minimum of the potential energy curve.
45.
I couldn't find anyone who claimed to have seen a Lemurian _ or even admitted believing in them _ but Beverly, the crystal lady, allowed that they very well might exist on a vibrational level to which we're not yet ready to tune in.
46.
First, molecules at room temperature may be a variety of different rotational and vibrational energy levels, and may be excited to different rotational and vibrational levels; this means that the difference between the ground and first excited " electronic " energy levels is slightly shifted.
47.
In this use of the Franck Condon metaphor, the vibrational levels of the chromophores, as well as interactions of the chromophores with phonons in the liquid, continue to contribute to the structure of the absorption and emission spectra, but these effects are considered separately and independently.
48.
For the 345 nm emission, the transitions at a high vibrational level are more dispersed towards the red region for C?! A than for B?! A because the repulsive barrier of A is steeper and closer to the higher state of the emission than is A.
49.
The Van der Waals force between atoms is not strong enough in state X to explain the presence of a potential well that when low ( the depth is in the order of kilotorr ) can contain between 12 and 20 vibrational levels ( see Table 3 ).
50.
Electronic transitions are essentially instantaneous compared with the time scale of nuclear motions, therefore if the molecule is to move to a new vibrational level during the electronic transition, this new vibrational level must be instantaneously compatible with the momenta of the vibrational level of the molecule in the originating electronic state.
