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Analytic second derivatives for general coupled-cluster and configuration-interaction models.

Mihály Kállay1, Jürgen Gauss

  • 1Institut für Physikalische Chemie, Universität Mainz, D-55099 Mainz, Germany. kallay@uni-mainz.de

The Journal of Chemical Physics
|July 23, 2004
PubMed
Summary

Analytic second derivatives for coupled-cluster (CC) and configuration-interaction (CI) methods were developed. These advanced computational chemistry techniques improve the accuracy of predicting molecular properties like harmonic frequencies and NMR chemical shifts.

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Area of Science:

  • Computational Chemistry
  • Quantum Chemistry
  • Theoretical Chemistry

Background:

  • Coupled-cluster (CC) and configuration-interaction (CI) methods are essential for accurate electronic structure calculations.
  • Calculating analytic second derivatives of energy is computationally demanding but crucial for molecular properties.

Purpose of the Study:

  • To implement analytic second derivatives for general CC and CI methods.
  • To enable high-accuracy calculations of molecular properties, including harmonic frequencies and NMR chemical shifts.

Main Methods:

  • Development of string-based many-body algorithms for analytic second derivatives.
  • Application to wave functions truncated at arbitrary excitation levels.
  • Calculations performed up to the full configuration-interaction (FCI) level.

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Main Results:

  • Successful implementation of analytic second derivatives for CC and CI methods.
  • Accurate computation of harmonic frequencies and nuclear magnetic resonance (NMR) chemical shifts for selected systems.
  • Demonstration of the importance of higher excitations for high-accuracy results.

Conclusions:

  • The developed string-based many-body algorithms provide an efficient route to analytic second derivatives.
  • Higher excitation levels in CC and CI calculations are critical for achieving high accuracy in predicting molecular properties.