  Quantum rate theory encompasses the electron-transfer rate constant concept
of electrochemical reactions as a particular setting, besides demonstrating
that the electrodynamics of these reactions obey relativistic quantum
mechanical rules. The theory predicts a frequency $\nu = E/h$ for
electron-transfer reactions, in which $E = e^2/C_q$ is the energy associated
with the density-of-states $C_q/e^2$ and $C_q$ is the quantum capacitance of
the electrochemical junctions. This work demonstrates that the $\nu = E/h$
frequency of the intermolecular charge transfer of push-pull heterocyclic
compounds, assembled over conducting electrodes, follows the above-stated
quantum rate electrodynamic principles. Astonishingly, the differences between
the molecular junction electronics formed by push-pull molecules and the
electrodynamics of electrochemical reactions observed in redox-active modified
electrodes are solely owing to an adiabatic setting (strictly following
Landauer's ballistic presumption) of the quantum conductance in the push-pull
molecular junctions. An appropriate electrolyte field-effect screening
environment accounts for the resonant quantum conductance dynamics of the
molecule-bridge-electrode structure, in which the intermolecular charge
transfer dynamics within the frontier molecular orbital of push-pull
heterocyclic molecules follow relativistic quantum mechanics in agreement with
the quantum rate theory.
