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Negative and Infinite Fukui Functions: The Role of Diagonal Dominance in the Hardness Matrix
Authors:Patrick Bultinck  Ramon Carbó-Dorca
Institution:(1) Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S-3), B-9000 Gent, Belgium;(2) Institute of Computational Chemistry, University of Girona, Campus Montilivi, 17071 Girona Catalonia, Spain
Abstract:The possible genesis of negative atom condensed Fukui functions is discussed based on hardness kernel matrix relationships. The recent hypothesis that diagonal dominance of the hardness matrix is a requirement for positive Fukui functions is proven, and general considerations also predict the possibility of regions with numerically unstable Fukui functions, including discontinuities.
Keywords:electronegativity equalization method  Fukui function  hardness  conceptual DFT
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