Computation of density gradient quantum similarity integrals is analyzed, while comparing such integrals with overlap density quantum similarity measures. Gradient quantum similarity corresponds to another kind of numerical similarity assessment between a pair of molecular frames, which contrarily to the usual up to date quantum similarity definitions are not measures, that is: strictly positive definite integrals. As the density gradient quantum similarity integrals are defined as scalar products of three real functions, they appear to possess a richer structure than the corresponding positive definite density overlap quantum similarity measures, while preserving the overall similarity trends, when the molecular frames are relatively moved in three dimensional space. Numerical results within the atomic shell approximation (ASA) framework are presented as simple examples showing the new performances of the gradient density quantum similarity.
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10 December 2012
INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009: (ICCMSE 2009)
29 September–4 October 2009
Rhodes, Greece
Research Article|
December 10 2012
Density gradient quantum similarity
Ramon Carbó-Dorca;
Ramon Carbó-Dorca
Institut de Química Computacional Universitat de Girona Girona 17071 Catalonia,
Spain
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Luz Dary Mercado
Luz Dary Mercado
Institut de Química Computacional Universitat de Girona Girona 17071 Catalonia,
Spain
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AIP Conf. Proc. 1504, 716–720 (2012)
Citation
Ramon Carbó-Dorca, Luz Dary Mercado; Density gradient quantum similarity. AIP Conf. Proc. 10 December 2012; 1504 (1): 716–720. https://doi.org/10.1063/1.4771795
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