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Auxiliary density perturbation theory.

Roberto Flores-Moreno1, Andreas M Köster

  • 1Departamento de Química, CINVESTAV, Avenida Instituto Politécnico Nacional, 2508 A.P., 14-740 México, D.F. 07000, Mexico. rflores@cinvestav.mx

The Journal of Chemical Physics
|April 10, 2008
PubMed
Summary
This summary is machine-generated.

A novel auxiliary density perturbation theory offers a noniterative method for calculating second energy derivatives. This approach accurately determines molecular polarizabilities, matching standard density functional theory results with computational advantages.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Calculating second energy derivatives is crucial for understanding molecular properties and reaction mechanisms.
  • Conventional methods like coupled perturbed Kohn-Sham equations can be computationally intensive.
  • Auxiliary density functional theory provides an alternative framework for electronic structure calculations.

Purpose of the Study:

  • To introduce and develop a new computational approach: auxiliary density perturbation theory (ADPT).
  • To enable noniterative calculation of second energy derivatives.
  • To assess the accuracy and efficiency of ADPT for molecular polarizability calculations.

Main Methods:

  • Formulation of auxiliary density perturbation theory based on auxiliary density functional theory.
  • Expression of potentials using auxiliary function densities.
  • Noniterative solution of an inhomogeneous equation system for the perturbed density matrix.

Main Results:

  • A prototype implementation for analytic calculation of molecular polarizabilities was developed.
  • ADPT results for molecular polarizabilities quantitatively match standard density functional theory results when augmented auxiliary function sets are employed.
  • The computational advantages of the new ADPT method are discussed.

Conclusions:

  • Auxiliary density perturbation theory presents an efficient and accurate alternative for calculating second energy derivatives.
  • The method shows promise for accurate and computationally advantageous determination of molecular properties like polarizabilities.
  • Further development and application of ADPT are warranted for broader use in computational chemistry.