Materials science

Capacitance

Physics

Electrode

Voltage

Mathematical optimization

Quantum mechanics

Nanotechnology

Mathematics

Nanoscopic scale

Electrical engineering

Hamiltonian (control theory)

Quantum capacitance

Capacitor

Capacitive sensing

Supercapacitor

Engineering

Mesoscopic physics

Quantum

Journal of Power Sources

We review the origins of capacitive phenomena at the nanoscale to demonstrate that electrochemistry cannot be understood without a critical re-reading of nanoscale electronics, and vice-versa. The fundamentals are stated at a mesoscopic physical level at which both classical and quantum mechanical terms are important to the explanation of different capacitive contributions. At this mesoscopic physical scale, a quantum mechanical Hamiltonian can be analytically solved for a metal-electrolyte interface modified with an ensemble of molecular-scale building blocks. This mesoscopic electrochemical state arises in most situations involving nanostructured electrochemical junctions, while the outcome of resolving the Hamiltonian associated with this mesoscopic problem is electrochemical capacitance. Therefore, in the present study, we departed from the conventional meaning of electrochemical capacitance to demonstrate that non-faradaic and faradaic charging events are identical phenomena. Using specific examples in w...

Nanoscale origins of super-capacitance phenomena