An alternative way of calculating the Fukui function and the partial derivative of second order of the electronic density with respect to the number of electrons N is presented, the new formulas agree with the usual ones but only in cases without degeneracy. The new operative formulas are more general than the previous ones and are the right ones for those problematic cases where one or both of the frontier molecular orbitals are degenerate. Finally, we present a new way of applying the finite difference approximation that leads to more realistic results than the usual formulas. Graphical abstract A new way of calculating the Fukui function is presented that results in a new operative formula of the function. It has also been obtained the partial derivative of second order of the electronic density with respect to the number of electrons N, and it agree with the usual formula of the dual descriptor function but only in cases without degeneration.
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http://dx.doi.org/10.1007/s00894-019-4000-0 | DOI Listing |
Eur J Neurol
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Department of Obstetrics and Gynecology School of Medicine, Hyogo Medical University Nishinomiya Hyogo Japan.
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BMC Nephrol
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Department of Nephrology and Rheumatology, Graduate School of Medical Sciences, Kanazawa University, Ishikawa, 920-8641, Japan.
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Commun Chem
January 2025
Graduate School of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo, Hokkaido, 060-8628, Japan.
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Department of Pediatrics, Graduate School of Medical Science, Kyoto Prefectural University of Medicine, Kyoto, Japan.
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