Classical Scaling of the
Quantum Capacitances for Molecular Wires
April 2007
James C. Ellenbogen, The MITRE Corporation
Carl A. Picconatto, The MITRE Corporation
Jacob S. Burnim, The MITRE Corporation
ABSTRACT
Detailed calculations demonstrate that the quantum capacitances of
non-spherical, rod-like molecular wires scale with their dimensions
according to a linear law much like that obeyed by classical, macroscopic
spherical capacitors. Further, this linear "isoperimetric" scaling law
leads to a particularly simple formula that relates a molecule's
electron affinity directly to its ionization potential and its spatial
dimensions.
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