Quantum similarity study of atoms: a bridge between hardness and similarity indices |
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Authors: | Borgoo A Torrent-Sucarrat M De Proft F Geerlings P |
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Institution: | Department of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB, Free University of Brussels), Pleinlaan 2, 1050 Brussels, Belgium. |
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Abstract: | A hardness based similarity index for studying the quantum similarity for atoms is analyzed. The investigation of hardness and Fukui functions of atoms leads to the construction of a quantum similarity measure, which can be interpreted as a quantified comparison of chemical reactivity of atoms. Evaluation of the new measure reveals periodic tendencies throughout Mendeleev's table. Moreover on the diagonal the global hardness was recovered. Considering a corresponding quantum similarity index reveals that renormalization of the measure can mask periodic patterns. The hardness was calculated for atoms with nuclear charge 3
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