Quantum rate dynamics and charge screening at the nanoscale level

Abstract

It has been demonstrated that quantum-rate electrodynamics originate from charged quantum states within redox moieties coupled to electrodes. In this study, we demonstrate that this phenomenon is not restricted to...

Quantum rate as a spectroscopic methodology for measuring the electronic structure of quantum dots

“…Note that C q directly reports on the density of states DOS = C q / e 2 = (d n /d E ) of the molecular compounds assemblies over the electrode. Nonetheless, the presence of an electrolyte is vital because it allows the suppression of the Coulomb effect 24 and permits the direct measurement of C q of the QDs, as will be demonstrated below. This QRS methodology allows us to define the rate at which the states of the QDs communicate with the electrode owing to an electric-field perturbation of the QD states through the electrode.…”

“…Therefore, the approximation C e ∼ C q in eqn (4) implies an energy degeneracy, as discussed in Section 3.1. Therefore, analyzing eqn (4) under the situation of modeling an adiabatic single electron transport within the degeneracy of the states consideration, it can be experimentally evidenced that the electrolyte environment 24 plays a key role for the degeneracy condition, where it is noted a superposition of C e and C q capacitive states owing to an appropriate electric-field screening mechanism of the electrolyte. 11 These two superimposed capacitive states implying that the electron charge is shared between two capacitive states (classical and quantum) within the same electric potential, i.e.…”

On the fundamentals of quantum rate theory and the long-range electron transport in respiratory chains

“…In summary, analysing eqn (2), under the situation of modeling an adiabatic single electron transport in an electrolyte medium, supported in experimental evidence that accounts for the key role of the electrolyte environment, 55 where it is noted a superposition of C e and C q capacitive states owing to an appropriate electric-field screening mechanism of the electrolyte over D and A states, 11 it follows that eqn (2) turns into 54 …”

“…is unity because N is unity and the transmittance is ideal (adiabatic), hence allowing us to settle eqn (2) simply as k = G 0 /C m and the degeneracy state of eqn ( 4) is achieved simply by considering C e B C q in eqn (2), as discussed in more detail in the ESI. † In summary, analysing eqn (2), under the situation of modeling an adiabatic single electron transport in an electrolyte medium, supported in experimental evidence that accounts for the key role of the electrolyte environment, 55 where it is noted a superposition of C e and C q capacitive states owing to an appropriate electric-field screening mechanism of the electrolyte over D and A states, 11 it follows that eqn (2) turns into 54…”