Spectral Theory of Chemical Bonding

Abstract

New theoretical methods are reported for obtaining the binding energies of molecules and other chemical aggregates employing the spectral eigenstates and related properties of their atomic constituents. Wave function antisymmetry in the aggregate atomic spectral-product basis is enforced by unitary transformation performed subsequent to formation of the Hamiltonian matrix, greatly simplifying its construction. Spectral representatives of the individual atomic number-density operators, which can be determined once and for all and tabulated for future use, provide the computational invariants of the development. Calculations of the lowest-lying attractive and repulsive states of the two-electron pair bond (H2) as functions of atomic separation illustrate the nature of the formalism and its convergence to values in accord with results obtained employing conventional methods.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2004
Accession Number
ADA434098

Entities

People

  • J. A. Boatz
  • J. A. Sheehy
  • P. W. Langhoff
  • R. J. Hinde

Organizations

  • Indiana University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Angular Momentum
  • Atomic Properties
  • Atomic Structure
  • Atoms
  • Charge Density
  • Chemical Reactions
  • Computational Science
  • Construction
  • Convergence
  • Eigenvalues
  • Electrons
  • Equations
  • Momentum
  • Physical Properties
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics