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Benchmarking crystal structure refinement: A systematic study on Hirshfeld atom refinement.
Daniel Brüx1, Florian Meurer2, Florian Kleemiss1
1RWTH Aachen University, Institut für Anorganische Chemie, Landoltweg 1a, 52074 Aachen, Germany.
Structural Dynamics (Melville, N.Y.)
|September 12, 2025
Summary
This study clarifies wavefunction calculation parameters for Hirshfeld atom refinement (HAR). The pure Hartree-Fock method showed superior performance over density functional theory for polar organic molecules.
Area of Science:
- Crystallography
- Computational Chemistry
- Quantum Chemistry
Background:
- Hirshfeld atom refinement (HAR) is crucial for accurate crystal structure analysis.
- Conflicting recommendations exist regarding optimal wavefunction calculation parameters for HAR.
- Amino acid structures provide reliable benchmarks due to high experimental data quality.
Purpose of the Study:
- To systematically investigate the impact of wavefunction calculation parameters on HAR.
- To resolve discrepancies in the literature regarding recommended HAR procedures.
- To provide guidance on selecting appropriate computational methods for HAR.
Main Methods:
- Employed a comprehensive permutation of refinement parameters (2496 refinements per amino acid).
- Utilized high-quality amino acid crystal structures as test cases.
- Compared gas-phase calculations with solvent models and various quantum chemical methods.
Main Results:
- Solvent models consistently improved HAR results compared to gas-phase calculations.
- The pure Hartree-Fock method outperformed all tested density functional theory (DFT) methods.
- Performance differences were observed across various tested parameters and structures.
Conclusions:
- Careful selection of the level of theory is critical for successful HAR.
- The pure Hartree-Fock method is recommended over tested DFT methods for polar organic molecules in HAR.
- This study offers a clear overview of method and parameter performance in HAR.

