Classical Scaling of the Quantum Capacitances for Molecular Wires

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 molecules electron affinity directly to its ionization potential and its spatial dimensions.

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Document Details

Document Type
Technical Report
Publication Date
Apr 02, 2007
Accession Number
AD1107006

Entities

People

  • Carl A. Picconatto
  • Jacob S. Burnim
  • James C. Ellenbogen

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Agreements
  • Atomic Orbitals
  • Atoms
  • Capacitance
  • Capacitors
  • Chemistry
  • Computer Programs
  • Conductive Polymers
  • Density Functional Theory
  • Dielectric Permittivity
  • Electrons
  • Electrostatics
  • Ellipsoids
  • Equations
  • Geometry
  • Inequalities
  • Ionization Potentials
  • Molecular Wires
  • Molecules
  • Quantum Chemistry
  • Scaling Laws
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics.
  • Quantum Chemistry

Technology Areas

  • Microelectronics
  • Quantum Computing