This study aims to address the deficiencies of the Marcus model of electron transfer

(ET) and then provide modifications to the model. A confirmation of the inverted energy

gap law, which is the cleanest verification so far, is presented for donor-acceptor complexes.

In addition to the macroscopic properties of the solvent, the physical properties of the solvent

are incorporated in the model via the microscopic solvation model. For the molecules

studied in this dissertation, the rate constant first increases with cooling, in contrast to the

prediction of the Arrhenius law, and then decreases at lower temperatures. Additionally,

the polarizability of solute, which was not considered in the original Marcus theory, is included

by the Q-model of ET. Through accounting for the polarizability of the reactants, the

Q-model offers an important design principle for achieving high performance solar energy

conversion materials. By means of the analytical Q-model of ET, it is shown that including

molecular polarizability of C60 affects the reorganization energy and the activation barrier

of ET reaction.

The theory and Electrochemistry of Ferredoxin and Cytochrome c are also investigated.

By providing a new formulation for reaction reorganization energy, a long-standing disconnect

between the results of atomistic simulations and cyclic voltametery experiments is

resolved. The significant role of polarizability of enzymes in reducing the activation energy

of ET is discussed. The binding/unbinding of waters to the active site of Ferredoxin leads

to non-Gaussian statistics of energy gap and result in a smaller activation energy of ET.

Furthermore, the dielectric constant of water at the interface of neutral and charged

C60 is studied. The dielectric constant is found to be in the range of 10 to 22 which is

remarkably smaller compared to bulk water( 80). Moreover, the interfacial structural

crossover and hydration thermodynamic of charged C60 in water is studied. Increasing the

charge of the C60 molecule result in a dramatic structural transition in the hydration shell,

which lead to increase in the population of dangling O-H bonds at the interface.