Theoretica chimica acta

, Volume 83, Issue 5–6, pp 319–330 | Cite as

A test of the Hirshfeld definition of atomic charges and moments

  • Ernest R. Davidson
  • Subhas Chakravorty


The Hirshfeld population analysis scheme which carves the molecular density into atomic density contributions is tested. This method does not require a reference to basis sets or their respective locations, but is based on a different physical and mathematical footing. The advantage of this method is that, when the molecular deformation density converges to the true solution, the computed net charges will necessarily converge. This method also allows a straightforward definition for “local” moments. About 36 molecules have been used to compute the conventional Mulliken and Löwdin population analyses with STO3G, 6311G** and Dunning-Hay split valence basis sets. These results have been compared to the estimates provided by the Hirshfeld model. The charges found in the Hirshfeld method are smaller than those from the other methods.

Key words

Hirshfeld population analysis Molecular density “Local” moments Charges 


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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Ernest R. Davidson
    • 1
  • Subhas Chakravorty
    • 1
  1. 1.Department of ChemistryIndiana UniversityBloomingtonUSA

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