Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition

Hirshfeld atom refinement (HAR) is generally the chosen method for obtaining accurate hydrogen atom parameters from X-ray diffraction data. Still, determination can prove challenging, especially in the case of atomic displacement parameters (ADPs). We demonstrate that such a situation can occur when...

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Main Authors: Michał Chodkiewicz, Krzysztof Woźniak
Format: Article
Language:English
Published: International Union of Crystallography 2025-01-01
Series:IUCrJ
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Online Access:https://journals.iucr.org/paper?S2052252524011242
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author Michał Chodkiewicz
Krzysztof Woźniak
author_facet Michał Chodkiewicz
Krzysztof Woźniak
author_sort Michał Chodkiewicz
collection DOAJ
description Hirshfeld atom refinement (HAR) is generally the chosen method for obtaining accurate hydrogen atom parameters from X-ray diffraction data. Still, determination can prove challenging, especially in the case of atomic displacement parameters (ADPs). We demonstrate that such a situation can occur when the ADP values of the bonding partner of the hydrogen atom are not determined accurately. Atomic electron densities partially overlap and inaccuracies in the bonding neighbour ADPs can be partially compensated for with modifications to the hydrogen ADPs. We introduce a modified version of the original Hirshfeld partition: the exponential Hirshfeld partition, parameterized with an adjustable parameter (n) to allow control of the overlap level of the atomic electron densities which, for n = 1, is equivalent to the Hirshfeld partition. The accuracy of the HAR-like procedure using the new partition (expHAR) was tested on a set of organic structures using B3LYP and MP2 electron densities. Applying expHAR improved the hydrogen atom parameters in the majority of the structures (compared with HAR), especially in cases with the highest deviations from the reference neutron values. X—H bond lengths and hydrogen ADPs improved for 9/10 of the structures for B3LYP-based refinement and 8/9 for MP2-based refinement when the ADPs were compared with a newly introduced scale-independent similarity measure.
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spelling doaj-art-78cc69b4ba784c8298d82156c90de6552025-01-08T10:32:13ZengInternational Union of CrystallographyIUCrJ2052-25252025-01-01121748710.1107/S2052252524011242fc5080Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partitionMichał Chodkiewicz0Krzysztof Woźniak1Biological and Chemical Research Centre, Department of Chemistry, University of Warsaw, Żwirki i Wigury 101, Warszawa 02-089, PolandBiological and Chemical Research Centre, Department of Chemistry, University of Warsaw, Żwirki i Wigury 101, Warszawa 02-089, PolandHirshfeld atom refinement (HAR) is generally the chosen method for obtaining accurate hydrogen atom parameters from X-ray diffraction data. Still, determination can prove challenging, especially in the case of atomic displacement parameters (ADPs). We demonstrate that such a situation can occur when the ADP values of the bonding partner of the hydrogen atom are not determined accurately. Atomic electron densities partially overlap and inaccuracies in the bonding neighbour ADPs can be partially compensated for with modifications to the hydrogen ADPs. We introduce a modified version of the original Hirshfeld partition: the exponential Hirshfeld partition, parameterized with an adjustable parameter (n) to allow control of the overlap level of the atomic electron densities which, for n = 1, is equivalent to the Hirshfeld partition. The accuracy of the HAR-like procedure using the new partition (expHAR) was tested on a set of organic structures using B3LYP and MP2 electron densities. Applying expHAR improved the hydrogen atom parameters in the majority of the structures (compared with HAR), especially in cases with the highest deviations from the reference neutron values. X—H bond lengths and hydrogen ADPs improved for 9/10 of the structures for B3LYP-based refinement and 8/9 for MP2-based refinement when the ADPs were compared with a newly introduced scale-independent similarity measure.https://journals.iucr.org/paper?S2052252524011242hirshfeld atom refinementalternative electron density partitionexponential hirshfeld atom refinementhydrogen atom parametersquantum crystallography
spellingShingle Michał Chodkiewicz
Krzysztof Woźniak
Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
IUCrJ
hirshfeld atom refinement
alternative electron density partition
exponential hirshfeld atom refinement
hydrogen atom parameters
quantum crystallography
title Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
title_full Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
title_fullStr Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
title_full_unstemmed Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
title_short Towards improved accuracy of Hirshfeld atom refinement with an alternative electron density partition
title_sort towards improved accuracy of hirshfeld atom refinement with an alternative electron density partition
topic hirshfeld atom refinement
alternative electron density partition
exponential hirshfeld atom refinement
hydrogen atom parameters
quantum crystallography
url https://journals.iucr.org/paper?S2052252524011242
work_keys_str_mv AT michałchodkiewicz towardsimprovedaccuracyofhirshfeldatomrefinementwithanalternativeelectrondensitypartition
AT krzysztofwozniak towardsimprovedaccuracyofhirshfeldatomrefinementwithanalternativeelectrondensitypartition