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Mathematical aspects of the LCAO MO first order density function (1): atomic partition, metric structure and practical applications
Authors:Ramon Carbó-Dorca
Affiliation:(1) Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281, B-9000 Gent, Belgium;(2) Institut de Química Computacional, Universitat de Girona, Girona, 17071, Catalonia, Spain
Abstract:Partition of the first order density function within LCAO MO theory permits the definition of Mulliken and Minkowski metric spaces. The metric matrices obtained become useful to connect density atomic partition with quantum similarity measures, Mulliken populations, EHT, expectation values of Hermitian operators and the comparison of two density distributions.
Keywords:First order density function  Mulliken populations  atomic basis set  Minkowski density function partition  quantum similarity measures  comparison of two density functions on the same molecule
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