Analytical derivatives of symmetry-adapted perturbation theory corrections for interaction-induced properties

13 February 2025, Version 1
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

A new approach that allows for the calculation of interaction-induced properties exclusively from the properties of monomers is presented. The method is derived in the spirit of the symmetry-adapted perturbation theory (SAPT). The interaction-induced property is presented in the first order of the molecular interaction operator, including the exchange effects. Test calculations of the interaction induced dipole moment were carried out for a number of small nonpolar and polar atomic and molecular dimers. The numerical results show that the analytical first-order corrections proposed in this paper reproduce the finite-field treatment of the first-order corrections of SAPT. Compared to supermolecular approaches, the performance of the finite-field SAPT (up to the second order) constitutes an insightful alternative for calculations of interaction-induced properties.

Keywords

van der Waals interactions
dipole moment
response theory
SAPT
non-covalent interactions

Supplementary materials

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Result interaction-induced dipole moments
Description
This file contains computational results for tested molecular systems, including interaction-induced dipole moments. The CSV columns are: - `System`: Molecular system studied. - `R`: Intermolecular separation (bohrs). - `Theta`: Angle parameter (degrees). - `Component`: Vector component of interaction-induced dipole moment. - `Nuclear`: Nuclear dipole moment of a dimer. - `propSAPT X1_pol,r`, `propSAPT X1_exch,r`, `propSAPT total`: Dipole moment from propSAPT. - `FF-SAPT X1_pol`, `FF-SAPT X1_exch`, `FF-SAPT X2_ind`, `FF-SAPT X2_exch-ind`, `FF-SAPT X2_disp`, `FF-SAPT X2_exch-disp`, `FF-SAPT total`: Dipole moment from FF-SAPT. - `propSAPT(DFT) X1_pol,r`, `propSAPT(DFT) X1_exch,r`, `propSAPT(DFT) total`: Dipole moment from propSAPT(DFT). - `FF-SAPT(DFT) X1_pol`, `FF-SAPT(DFT) X1_exch`, `FF-SAPT(DFT) X2_ind`, `FF-SAPT(DFT) X2_exch-ind`, `FF-SAPT(DFT) X2_disp`, `FF-SAPT(DFT) X2_exch-disp`, `FF-SAPT(DFT) total`: Dipole moment from FF-SAPT(DFT). - `HF`: Dipole moment from supermolecular HF. - `PBE0`: Dipole moment from supermolecular DFT (PBE0 functional). - `CCSD(T)`: Dipole moment from finite-field supermolecular CCSD(T).
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Molecular geometries
Description
The `.zip` archive contains directories for each of the molecular systems studied. The directory for a given system contains `.xyz` files with the molecular geometries studied, with the filename indicating the intermolecular separation (in bohr) and, in the case of He...H2 complex, also the angle parameter (in degrees).
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