In this study, we applied the concept of the “contribution
factor of the first kind (CFFK)” to the original electron-transfer
(ET) rate theory proposed by Marcus. Mathematical derivations provided
simple and convenient formulas for estimating the relative contributions
of ten physical and chemical parameters involved in the Marcus ET
rate formula: (1) the maximum strength of the electronic coupling
energy between two molecules, (2) the exponential decay rate of the
electronic coupling energy versus the distance between both molecules,
(3) the distance between both molecules, (4) the equilibrium distance
between both molecules, (5) the Gibbs free energy, (6) reorganization
free energy in the prefactor of the Marcus ET rate equation, (7) reorganization
free energy in the denominator of the exponential term, (8) reorganization
free energy in the argument of the exponential term, (9) Boltzmann
constant times absolute temperature in the prefactor of the rate equation,
and (10) Boltzmann constant times absolute temperature in the denominator
of the exponential term. We applied our theories to (i) ET reactions
at bacterial photosynthesis reaction centers, PSI and PSII, and soluble
ferredoxins (Fd); (ii) intraprotein ET reactions for designed azurin
mutants; and (iii) ET reactions in flavodoxin (Fld). The formulas
and calculations suggest that the theory behind the CFFK is useful
for quantitatively identifying major and minor physical and chemical
factors and corresponding trade-offs, all of which affect the magnitude
of the Marcus ET rate.