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The polarisability of atoms and molecules: a comparison between a conceptual density functional theory approach and time-dependent density functional theory
Authors:Zino Boisdenghien  Stijn Fias  Fabiana Da Pieve  Frank De Proft  Paul Geerlings
Affiliation:1. General Chemistry (ALGC), Vrije Universiteit Brussel (Free University Brussels – VUB) Brussel, Belgiumzboisden@vub.ac.be;3. General Chemistry (ALGC), Vrije Universiteit Brussel (Free University Brussels – VUB) Brussel, Belgium;4. European Theoretical Spectroscopy Facility (ETSF), Ecole Polytechnique, Palaiseau, France;5. Laboratoire des Solides Irradiés, Ecole Polytechnique, Palaiseau, France
Abstract:We investigate the local polarisability or polarisability density using both a conceptual density functional theory approach based on the linear response function and time-dependent density functional theory. Using a zero frequency in the latter, we can immediately compare both approaches. Using an analytical expression for the linear response kernel, we are able to systematically analyse α(r) throughout the periodic table. An extension to molecules is also made with a study of the CO molecule retrieving the connection between local softness and local polarisability.
Keywords:conceptual density functional theory  time-dependent DFT  linear response  local polarisability  atoms
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