2019
DOI: 10.1021/acs.jpcb.9b07799
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Atoms in Molecules from Alchemical Perturbation Density Functional Theory

Abstract: Based on thermodynamic integration we introduce atoms in molecules (AIM) using the orbital-free framework of alchemical perturbation density functional theory (APDFT). Within APDFT, atomic energies and electron densities in molecules are arbitrary because any arbitrary reference system and integration path can be selected as long as it meets the boundary conditions. We choose the uniform electron gas as the most generic reference, and linearly scale up all nuclear charges, situated at any query molecule's atom… Show more

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Cited by 29 publications
(30 citation statements)
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References 105 publications
(195 reference statements)
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“…λ = 0) only. In recent work, we have shown [14] that this infinite sum converges rather quickly, meaning that the first few terms recover the vast majority of the energy change between reference and target molecule and even allow decomposition into atomic energy as well as electron density contributions [44]. In practice, this means that its sufficient to evaluate the electron density and its first few derivatives for the base molecule only, so there is no combinatorial scaling with the total number of protonation sites in this method.…”
Section: Introductionmentioning
confidence: 99%
“…λ = 0) only. In recent work, we have shown [14] that this infinite sum converges rather quickly, meaning that the first few terms recover the vast majority of the energy change between reference and target molecule and even allow decomposition into atomic energy as well as electron density contributions [44]. In practice, this means that its sufficient to evaluate the electron density and its first few derivatives for the base molecule only, so there is no combinatorial scaling with the total number of protonation sites in this method.…”
Section: Introductionmentioning
confidence: 99%
“…131 In the linear scaling program LSQC, 132,133 PYSCF is used to generate reference wavefunctions and integrals for the cluster-in-molecule local correlation method. The APDFT (alchemical perturbation density functional theory) program 134,135 interfaces to PYSCF for QM calculations. In the PYSCF-NAO project, 136…”
Section: B External Projects That Build On Pyscfmentioning
confidence: 99%
“…For the easiest applications of APDFT, one can simply truncate the expansion in Equation ) to first order and assign Δ λ = 1, but higher‐order corrections for nonperiodic computational schemes have been developed by von Lilienfeld and co‐workers. [ 21 ] The first‐order approximation for APDFT is shown in Equation ). λnormalΔE0=InormalΔμnIλNIInormalΔFIλRI+normalΔμeλNe …”
Section: Alchemical Perturbation Density Functional Theorymentioning
confidence: 99%