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.
Classical Scaling of the Quantum Capacitances for Molecular Wires
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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.