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

It has been shown that both the electron-transfer rate constant of an electrochemical reaction and the conductance quantum are correlated with the concept of quantum capacitance. This simple association between the two separate concepts has an entirely quantum rate basis that encompasses the electron-transfer rate theory as originally proposed by Rudolph A. Marcus whether statistical mechanics is appropriately taken into account. I have prepared a concise review of the quantum mechanical rate theory principles focused on its quantum electrodynamics character to demonstrate that it can reconcile the conflicting views established on attempting to use the super-exchange (supported on electron transfer) or 'metallic-like' (supported on conductance quantum) mechanisms separately to explain the highly efficient long-range electron transport observed in the respiratory processes of living cells. The unresolved issues related to long-range electron transport are clarified in light of the quantum rate theory with a discussion focused on Geobacter sulfurreducens films as a reference standard of the respiration chain. Theoretical analyses supported by experimental data suggest that the efficiency of respiration within a long-range electron transport path is intrinsically a quantum mechanical event that follows relativistic quantum electrodynamics principles as addressed by quantum rate theory.

Reagentless Quantum-Rate-Based Electrochemical Signal of Graphene for Detecting SARS-CoV-2 Infection Using Nasal Swab Specimens

The quantum-rate model predicts a rate k as a frequency for transporting electrons within molecular structures, which is governed by the ratio between the quantum of conductance G and capacitance C_q, such that k = G/C_q. This frequency, as measured in a single-layer graphene appropriately modified with suitable biological receptors, can be applied as a transducer signal that ranges sensitivities within the attomole for biosensing applications. Here, we applied this label-free and reagentless biosensing transducer signal methodology for the qualitative diagnosis of COVID-19 infections, where this assay methodology was shown to be similar to the gold-standard real-time polymerase chain reaction. The quantum-rate strategy for the diagnosis of COVID-19 was performed by combining the response of the interface for detecting the S and N proteins of SARS-CoV-2 virus as accessed from nasopharyngeal/oropharyngeal patient samples with 80% of sensitivity and 77% of specificity. As a label-free and reagentless biosensing platform, the methodology is decidedly useful for point-of-care and internet-of-things biological assaying technologies, not only because of its real-time ability to measure infections but also because of the capability for miniaturization inherent in reagentless electrochemical methods. This approach effectively permits the rapid development of biological assays for surveillance and control of endemics and pandemics.

Electron transfer and conductance quantum

The electron transfer rate constant of an electrochemical reaction and the conductance quantum are fundamental concepts that drive processes ranging from nanoscale electronic circuits to photosynthesis. In this paper, it is demonstrated that they are correlated with the concept of electrochemical capacitance. The relationship between electron transfer rate, quantum transport and electrochemical capacitance encompasses the theory of electron transfer rate proposed by Rudolph A. Marcus, and potentially unites electronics and electrochemistry.

Charge transport and energy storage at the molecular scale: from nanoelectronics to electrochemical sensing

This tutorial review considers how the fundamental quantized properties associated with charge transport and storage, particularly in molecular films, are linked in a manner that spans nanoscale electronics, electrochemistry, redox switching, and derived nanoscale sensing.