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Efficient algorithms for Hirshfeld-I charges.

Kati Finzel1, Ángel Martín Pendás2, Evelio Francisco2

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The Journal of Chemical Physics
|September 3, 2015
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Summary
This summary is machine-generated.

A novel self-consistent viewpoint simplifies iterative Hirshfeld charge calculations. This approach enables faster algorithms and introduces new, versatile atomic reference densities for improved accuracy in computational chemistry.

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Area of Science:

  • * Quantum Chemistry
  • * Computational Chemistry
  • * Electronic Structure Theory

Background:

  • * Iterative Hirshfeld charge analysis is a common method for partitioning molecular electron density.
  • * Existing methods can be computationally intensive.
  • * Developing efficient and accurate charge partitioning schemes is crucial for understanding chemical bonding.

Purpose of the Study:

  • * To present a new, self-consistent viewpoint on iterative Hirshfeld charges.
  • * To develop faster algorithms for Hirshfeld-I charge calculations.
  • * To introduce novel, N-representable atomic reference densities.

Main Methods:

  • * Reinterpreting atomic populations as self-reproducing quantities.
  • * Deriving a self-consistent requirement for Hirshfeld-I populations.
  • * Developing new algorithms based on the self-consistent requirement.
  • * Constructing new atomic reference densities with desired properties.

Main Results:

  • * A new self-consistent interpretation of Hirshfeld-I charges.
  • * Significantly faster algorithms for Hirshfeld-I charge calculation.
  • * Novel atomic reference densities that are N-representable and exhibit shell structure.
  • * The proposed reference densities are applicable to any charged species.

Conclusions:

  • * The self-consistent viewpoint provides a more fundamental understanding of Hirshfeld-I charges.
  • * The developed algorithms offer substantial computational speed-ups.
  • * The new reference densities enhance the applicability and accuracy of the Hirshfeld-I method.