In the Marcus inverted region, this quantity’s logarithm surprisingly increases with the square of standard free energy change. For 10 points each:
[10e] Name this quantity given as the transmission coefficient times k B T over h, times the negative exponential of “free energy of activation over k B T,” per the Eyring equation.
ANSWER: rate constant
[10h] In Marcus theory, this expression approximates the free energy of activation for outer-sphere electron transfer. This expression can be derived by setting standard free energy change to zero in the Marcus equation.
ANSWER: solvent reorganization energy over four [or one-fourth the solvent reorganization energy or equivalents; accept lambda sub S over four or equivalents; reject partial answers]
[10m] From this result, an expression can be derived that sets the rate constant for electron transfer equal to two pi over h-bar, times an electronic term, times the Franck-Condon-weighted density of states. This result states that transition rate is proportional to the square of a matrix element.
ANSWER: Fermi’s golden rule [or the golden rule of time-dependent perturbation theory]
<Arya Karthik, Chemistry>