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Molecular point groups and symmetry in external magnetic fields.

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This study introduces a group theory method to identify molecular point groups in magnetic fields. It presents character tables for new groups and proves all resulting groups are Abelian, aiding quantum chemistry calculations.

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Area of Science:

  • Quantum Chemistry
  • Molecular Symmetry
  • Group Theory

Background:

  • Quantum-chemical calculations in external magnetic fields are increasingly common.
  • Describing molecular symmetry under these conditions is crucial for theoretical studies.

Purpose of the Study:

  • To develop a general scheme for identifying molecular point groups in static external magnetic fields.
  • To present character tables for point groups not present without a field and their double groups.

Main Methods:

  • Application of group theory principles.
  • Construction of a general scheme for symmetry identification.
  • Derivation of character tables for specific point groups.

Main Results:

  • A method for determining molecular point groups in magnetic fields is established.
  • Character tables for C∞, C∞h, and their double groups are provided.
  • All possible point groups under these conditions are proven to be Abelian.

Conclusions:

  • The developed scheme simplifies symmetry analysis for molecules in magnetic fields.
  • The findings are essential for accurate quantum-chemical calculations.
  • The Abelian nature of these groups offers further theoretical insights.