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Franck Condon Factors

Electron-transfer processes must satisfy the Frank-Condon restrictions, i.e. the act of electron transfer is much shorter than atomic motion. The consequences are that no angular momentum can be transfered to or from the transition state during electron transfer, there is also restrictions in changes in spin.

electron-transfer timescale ~ 10-15 sec nuclear motion ~10-13sec

For example:

Has an outer sphere electron transfer rate of 1.1 M-1 sec-1, simply requires the transfer of electron from eg orbital of one Co to the other

The reaction

Is very slow k = 10-9 M-1 sec-1 requires a change of spin multiplicity as well.

In addition the oxidant and reductant must structurally reorganise themselves before electron transfer so that the energies of their transition states are equal. For example:

If electron transfer took place at their equilibrium positions, then we would have compressed Fe(II) ion and a stretched Fe(III) ion. These are in vibrationally excited states and would release energy, contravening thermodynamics !!!

Thus the reagents must match their energies before electron transfer can occur.

Theory: Eact ~ 25 kJ Mol-1 Expt: Eact ~ 44.1 kJ Mol-1