Configuration mixing model nuclear

It is clear that it is impossible to obtain a reversal in sign of A for these cesium isotopes from a relation e = const.as the magnetic moments increase monotonically. A physical explanation for the reversal given when these data were obtained was a possible break in the variation of the nuclear size at the shell closure with magic number N = 82. This now appears to be supported by recent isotope shift measurements in cesium Fig. 4. The core polarization (configuration mixing) model did allow us this sign reversal. 

Finally, it is to be noted that configurational mixing-related anharmonicities of the PE surfaces have the effect of mixing the nuclear and electronic coordinates, even in the two state model (see equations 35-40). These anharmonicities must result in changes in the frequencies of some vibrational modes that are correlated with the reaction coordinate. The size of the anharmonic contribution increases with electron delocalization. 

Polarization fluctuations of a certain type were considered in the configuration model presented above. In principle, fluctuations of a more complicated form may be considered in the same way. A more general approach was suggested in Refs. 23 and 24, where Eq. (16) for the transition probability has been written in a mixed representation using the Feynman path integrals for the nuclear subsystem and the functional integrals over the electron wave functions of the initial and final states t) and t) for the electron ... 

Fig. 9.23. Square-well model for electronic mixing between two discrete states. The displacement toward resonance is derived from modulation of the energy levels by the coupling of the electronic levels to the nuclear motion of the surrounding medium. In configuration A, the electron is localized at the donor site B corresponds to the condition of quantum resonance between the two states C corresponds to the nuclear configuration in which the electron becomes localized on the acceptor site (Reprinted from R. J. D. Miller, G. McLendon, A. J. Nozik, W. Schmickler, and F. Willig, Surface Electron Transfer Processes, p. 4, copyright 1995 VCH-Wiley. Reprinted by permission of John Wiley Sons, Inc.)...

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