On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system

In this study, the flexibility of the multipole Hansen–Coppens (HC) model refinement is investigated on calculated structure factors from a DFT reference for the tetrakis(μ-acetato)diaquadicopper model system (CCDC reference 1811668). The effect of the resolution [sin(θ)/λ], the Cu scattering factor...

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Main Authors: Andrej Hlinčík, Tadeáš Fülöp, Peter Herich, Jozef Kožíšek, Karol Lušpai, Lukáš Bučinský
Format: Article
Language:English
Published: International Union of Crystallography 2025-07-01
Series:IUCrJ
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Online Access:https://journals.iucr.org/paper?S2052252525003355
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author Andrej Hlinčík
Tadeáš Fülöp
Peter Herich
Jozef Kožíšek
Karol Lušpai
Lukáš Bučinský
author_facet Andrej Hlinčík
Tadeáš Fülöp
Peter Herich
Jozef Kožíšek
Karol Lušpai
Lukáš Bučinský
author_sort Andrej Hlinčík
collection DOAJ
description In this study, the flexibility of the multipole Hansen–Coppens (HC) model refinement is investigated on calculated structure factors from a DFT reference for the tetrakis(μ-acetato)diaquadicopper model system (CCDC reference 1811668). The effect of the resolution [sin(θ)/λ], the Cu scattering factor, the inclusion of anisotropic displacement parameters and the positions of the atoms in the refinement are considered in terms of statistical error analysis, residual and deformation density maps, Atoms In Molecules parameters, d-orbital populations, and others. The choice of the neutral Cu scattering factor in the HC refinement is found to give the most satisfactory results for most of the monitored parameters, despite the formal Cu2+ nature of copper in the studied complex. In order to put the difference between the HC model and the reference DFT (BLYP functional) results on the right scale, several computational chemistry methods (B3LYP, Hartree–Fock, Møller–Plesset perturbation theory and Coupled Clusters Singles and Doubles) were compared with the chosen DFT reference. Differences in the magnitudes of the structure factors and AIM parameters are presented, including considerations of relativistic effects and periodic boundary conditions, i.e. a comparison of a molecular crystal calculation versus an isolated molecule in the crystal.
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spelling doaj-art-27febdb8a2e04554afd4f6e1877f93c82025-08-20T02:43:09ZengInternational Union of CrystallographyIUCrJ2052-25252025-07-0112444446110.1107/S2052252525003355pen5009On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model systemAndrej Hlinčík0Tadeáš Fülöp1Peter Herich2Jozef Kožíšek3Karol Lušpai4Lukáš Bučinský5Institute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicInstitute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicInstitute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicInstitute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicInstitute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicInstitute of Physical Chemistry and Chemical Physics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, SK-812 37, Bratislava, Slovak RepublicIn this study, the flexibility of the multipole Hansen–Coppens (HC) model refinement is investigated on calculated structure factors from a DFT reference for the tetrakis(μ-acetato)diaquadicopper model system (CCDC reference 1811668). The effect of the resolution [sin(θ)/λ], the Cu scattering factor, the inclusion of anisotropic displacement parameters and the positions of the atoms in the refinement are considered in terms of statistical error analysis, residual and deformation density maps, Atoms In Molecules parameters, d-orbital populations, and others. The choice of the neutral Cu scattering factor in the HC refinement is found to give the most satisfactory results for most of the monitored parameters, despite the formal Cu2+ nature of copper in the studied complex. In order to put the difference between the HC model and the reference DFT (BLYP functional) results on the right scale, several computational chemistry methods (B3LYP, Hartree–Fock, Møller–Plesset perturbation theory and Coupled Clusters Singles and Doubles) were compared with the chosen DFT reference. Differences in the magnitudes of the structure factors and AIM parameters are presented, including considerations of relativistic effects and periodic boundary conditions, i.e. a comparison of a molecular crystal calculation versus an isolated molecule in the crystal.https://journals.iucr.org/paper?S2052252525003355hansen–coppens modelmultipole modelbenchmarkingdensity functional theorydftab initio studiesexperimental errorscomputational modelingmolecular crystalsmaterials modelingmolecular simulations
spellingShingle Andrej Hlinčík
Tadeáš Fülöp
Peter Herich
Jozef Kožíšek
Karol Lušpai
Lukáš Bučinský
On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
IUCrJ
hansen–coppens model
multipole model
benchmarking
density functional theory
dft
ab initio studies
experimental errors
computational modeling
molecular crystals
materials modeling
molecular simulations
title On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
title_full On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
title_fullStr On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
title_full_unstemmed On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
title_short On the flexibility of the multipole model refinement. A DFT benchmark study of the tetrakis(μ-acetato)diaquadicopper model system
title_sort on the flexibility of the multipole model refinement a dft benchmark study of the tetrakis μ acetato diaquadicopper model system
topic hansen–coppens model
multipole model
benchmarking
density functional theory
dft
ab initio studies
experimental errors
computational modeling
molecular crystals
materials modeling
molecular simulations
url https://journals.iucr.org/paper?S2052252525003355
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