Journal of Molecular Modeling

, Volume 19, Issue 7, pp 2849–2853 | Cite as

On the exponential model for energy with respect to number of electrons

  • Patricio FuentealbaEmail author
  • Carlos Cárdenas
Original Paper


Using an exponential model for the variation in energy with respect to the number of electrons it is shown that, within the model, the hardness, softness, electrophilicity and other global parameters connected to higher order derivatives follow an equalization principle after a molecule is formed from two separated species. Two generalizations of the model are also discussed, one of which presents discontinuity of the chemical potential at integer values of N.


Energy of atoms Equalization rules Derivative discontinuity 



This work was supported by the Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) through grant 11090013, and also by the Financiamiento Basal para Centros Científicos y Tecnológicos de Excelencia. The authors also acknowledge Project ICM-P10-003-F, CILIS, granted by Fondo de Innovación para la Competitividad, del Ministerio de Economía, Fomento y Turismo, Chile.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Departamento de Física, Facultad de CienciasUniversidad de Chile, and Centro para el Desarrollo de las Nanociencias y Nanotecnología, CEDENNASantiagoChile

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