Nondegenerate, energy level

E10.9 A gas contains molecules with two nondegenerate energy levels that are separated by 72.3 kJ-mol-1. Calculate the temperature when there are 10 times as many molecules in the lower state as in the upper. 

For a proton with = 12 only two orientations corresponding to m = /2 and m = -1/2 are possible this case will subsequently be considered as an example for NMR. Of course, other nuclei with wn > 1/2 possess more than only two nondegenerate energy levels. They are spaced equally, which implies that only one resonant transition is observed. 

A 2 term always corresponds to a single nondegenerate energy level. 

FIGURE 16.16 In the presence of magnetic fields, nuclear spin states split into nondegenerate energy levels. NMR spectroscopy probes the transitions between these nuclear energy states. 

The interaction of nondegenerate molecular or charge-transfer states is insufficient to describe the stability of photoassociation products of molecules with different electronic energy levels, ionization potentials, and electron affinities. On the other hand, treatments26-26 of the exciplex as a pure charge-transfer state afford a quantitative description of the shift in fluorescence peak with solvent polarity and with electron affinity of the (fluorescent) donor in the same quencher-solvent system (Eq. 13) moreover, estimated values for the dipole moment of the emitting species (Table VI) confirm its pronounced charge-transfer character. 

As a very simple example of this evaluation, consider a system of three molecules, each with three nondegenerate quantum energy levels (E0, E2) of equal spacing. Consider... 

Therefore, two of the four lowest it energy levels are doubly degenerate and the other two are nondegenerate moreover, since no irreducible representation occurs more than once in (9.87), we can obtain the correct linear combinations for the six lowest it MOs without solving a secular equation. 

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