2021
DOI: 10.1021/acs.jpca.1c07364
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Analytic Alchemical Derivatives for the Analysis of Differential Acidity Assisted by the h Function

Abstract: Analytical calculation of alchemical derivatives based on auxiliary density perturbation theory is described, coded, and validated. For the case where the nucleus is a hydrogen atom and the nuclear charge is changed from 1 to 0, it turns out that a good estimate of the proton binding energies can be obtained very efficiently. First-order results correspond exactly to the molecular electrostatic potential evaluated at the hydrogen nucleus location (removing self-repulsion), in agreement with previously reported… Show more

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Cited by 7 publications
(4 citation statements)
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“…Finally, it is worth mentioning that ADFT enables the accurate calculation of energy derivatives of arbitrary order. However, the current ADFT implementation in NWChem only supports the calculation of analytic nuclear gradients.…”
Section: Improvement To Existing Methods In Nwchemmentioning
confidence: 99%
“…Finally, it is worth mentioning that ADFT enables the accurate calculation of energy derivatives of arbitrary order. However, the current ADFT implementation in NWChem only supports the calculation of analytic nuclear gradients.…”
Section: Improvement To Existing Methods In Nwchemmentioning
confidence: 99%
“…To improve the accuracy of APDFT, assuming convergence, the perturbation expansion order must be increased. Analytic derivatives of energy and electron density , allow numerically stable yet computationally efficient evaluations of higher-order APDFT. Finite differences are also useful for systematically increasing the expansion order. ,, A hybrid approach of high- and low-level reference theories for the derivatives of the electron density is effective in reducing the computational cost of higher-order APDFT calculations .…”
Section: Computational Detailsmentioning
confidence: 99%
“…[80][81][82] In this section, we demonstrate how APDFT can be used to predict protonation and deprotonation energies accurately. APDFT3 error for vertical deprotonation energies can be as small as 1.4 kcal/mol 25,26,40,83 , we would like to go beyond the fixed geometry approximation including the geometrical relaxation energy. More specifically, we exemplify our approach for the alchemical navigation of the iso-electronic 10 electron series of second row hydrides CH 4 →NH 3 →H 2 O→ HF,(see figure 5 for illustration).…”
Section: Alchemical Protonation and Deprotonationmentioning
confidence: 99%