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Automatic procedure for generating symmetry adapted wavefunctions.

Marcus Johansson1, Valera Veryazov1

  • 1Division of Theoretical Chemistry, Lund University, Naturvetarvägen 14, P.O.B. 124, 221 00 Lund, Sweden.

Journal of Cheminformatics
|February 21, 2017
PubMed
Summary
This summary is machine-generated.

This study presents algorithms for automatic point group detection and molecular symmetry adaptation in quantum chemistry. The open-source software aids in computational chemistry by simplifying symmetry analysis of molecules and wavefunctions.

Keywords:
Molecular symmetryPoint groupSymmetry adaptedWavefunction

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Area of Science:

  • Computational Quantum Chemistry
  • Molecular Symmetry
  • Software Development

Background:

  • Symmetry analysis is crucial in computational quantum chemistry for understanding molecular properties.
  • Existing methods for symmetry detection and adaptation can be complex and time-consuming.

Purpose of the Study:

  • To develop and implement algorithms for automatic detection of point groups.
  • To enable symmetrisation of molecular geometry and wavefunctions.
  • To provide an open-source software library for these functionalities.

Main Methods:

  • A clustering algorithm for symmetry-invariant properties combined with logical deduction for symmetry element identification.
  • Construction of symmetry-adapted linear combinations (SALCs) using projection operators and subgroup analysis.
  • Auto-generation of character tables for point groups.
  • Symmetrisation via projection into totally symmetric space and partner function determination for wavefunctions.

Main Results:

  • An efficient algorithm for automatic point group detection.
  • A method for constructing SALCs of atomic orbitals.
  • Automated generation of point group character tables.
  • Software implementation released as an open-source library under the MIT license.

Conclusions:

  • The developed algorithms and software effectively automate symmetry detection and adaptation in quantum chemistry.
  • The open-source library integrates seamlessly with existing computational and molecular modeling software.
  • This work simplifies complex symmetry analyses, enhancing computational efficiency and accuracy.