Application of the Optimized Effective Potential Method to Quantum Chemistry

Abstract

The difficulties in conventional density functional theory (DFT) are discussed. An alternative exact procedure, the Optimized Effective Potential (OEP) method, is discussed and its analytic properties that are significant in DFT are presented. The difficulties in solving the integral equation for the OEP are eliminated by the introduction of the Krieger-Li-Iafrate (KLI) approximation which leads to important analytic properties that are identical to those of the OEP. Detailed self-consistent calculations on atoms and negative ions demonstrate that the KLI yields results that are nearly identical to those of the OEP and are a significant improvement over those given by the local spin density approximation and its gradient corrected versions. Calculations have been extended to molecules in the exchange-only approximation and are close to Hartree-Fock results. An accurate self-interaction-free correlation energy functional has been constructed from considerations of a homogeneous electron gas with an energy gap. Calculations on atoms, molecules and surfaces demonstrate that this functional is at least as accurate as any alternative generalized gradient approximation. The contributions from low lying virtual states is being studied.

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 2002
Accession Number
ADA411992

Entities

People

  • Joseph B. Krieger

Organizations

  • City University of New York

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Band Gaps
  • Band Structures
  • Chemistry
  • Density Functional Theory
  • Electron Density
  • Electron Gas
  • Electrons
  • Energy Bands
  • Energy Gaps
  • Equations
  • Integral Equations
  • Molecules
  • Perturbation Theory
  • Quantum Chemistry
  • Solid State Properties
  • Theorems

Fields of Study

  • Physics

Readers

  • Energy Conservation and Renewable Energy Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Microelectronics
  • Quantum Computing