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note
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It would be useful to specify other differences between ChoSilbey's ET rate formula and the perturbational limit, eq 19, of ours. Their "time-dependent reorganization energy" and our (2it((). both represent the key quantities, are apparently different from each other, as the former is always zero at / = 0 while the latter is generally not. The angle 0 defined here appears to be equivalent to their "dimensionality parameter" although the conceptual viewpoint is quite different. Indeed, we consider that the connection between Oit(') and 0 via c(ca) is comprehensive and useful.
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44
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33645844132
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note
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Other differences from the present work include (1) the damping factors to the bath dynamics were introduced phenomenologically and (2) the aspect of the angle between the photoexcitation and the ET coordinates was not considered in ref 18.
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33645891358
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note
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The 120 cm"1 frequency is sometimes attributed to the interdimer motion of the special pair P because it is absent in the bacteriochlorophyll monomer. However, the possibility of assigning it to some environmental protein fluctuations does not seem to be ruled out.
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This latter aspect has been extensively discussed in, e.g., Bixon, M.; Jortner, J. Chem. Phys. Lett. 1989, 759, 17, within the framework of the traditional theory for the steady-state rate constant. The point here would be that this picture remains valid with the present nonequilibrium generalization of the theory. Indeed, this nonequilibrium aspect was the major question raised by the experimental works in ref 4.
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For the bacterial RC, it might appear that the quantum beat of the fluorescence from the P state masks this aspect. As analyzed in ref 4, this fluorescence quantum beat reflects an oscillation of the P population in the coordinate space of the nuclear motions during the vibrational thermalization. Its fluorescence energy is determined by the coordinate value. Therefore, after integrating the fluorescence intensity over its energy, we could obtain the total population decay whose oscillation comes only from the nonequilibrium ET in the course of the nuclear vibrational thermalization. Alternatively, the product state of the ET could be detected at different energy regions of the probe light. Then, time-resolved detection of its rise by the ultrafast pump-probe technique would give the oscillation of the population not masked by the fluorescence quantum beat.
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