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How do density functionals affect the Hirshfeld atom refinement?

Bruno Landeros-Rivera1, David Ramírez-Palma2, Fernando Cortés-Guzmán3

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The amount of Hartree-Fock (HF) exchange in density functionals significantly impacts hydrogen atom refinement in Hirshfeld atom refinement (HAR), but not non-hydrogen bonds. Optimal HF exchange for HAR differs from standard quantum chemistry calculations.

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Area of Science:

  • Computational chemistry
  • Quantum crystallography
  • Materials science

Background:

  • Hybrid density functionals are widely used in computational chemistry.
  • Hirshfeld atom refinement (HAR) is a method for determining molecular structures.
  • The influence of Hartree-Fock (HF) exchange on HAR is not well understood.

Purpose of the Study:

  • To investigate the effect of varying Hartree-Fock (HF) exchange in hybrid density functionals on the Hirshfeld atom refinement (HAR) of urea and oxalic acid dihydrate.
  • To explore the impact of different basis sets, computational methods (MP2, HF), and cluster sizes on HAR results.
  • To compare HAR outcomes with neutron diffraction data.

Main Methods:

  • Application of hybrid density functionals with varying HF exchange percentages.
  • Hirshfeld atom refinement (HAR) on urea and oxalic acid dihydrate.
  • Utilizing different basis sets, MP2 and HF methods, and cluster sizes for bulk effect modeling.

Main Results:

  • The amount of HF exchange primarily affects the refinement parameters of hydrogen atoms.
  • Unlike geometry optimizations, optimal HF exchange mixtures for HAR do not necessarily yield the best agreement with neutron diffraction.
  • Non-hydrogen bond lengths are insensitive to method or basis set, while X-H bond lengths increase with HF exchange.
  • Thermal ellipsoids tend to shrink with increasing HF exchange, particularly for hydrogen atoms in strong hydrogen bonds.

Conclusions:

  • The optimal computational parameters for quantum crystallography via HAR may differ from those used in standard quantum chemistry calculations.
  • Development of density functionals and basis sets for quantum crystallography might require a distinct approach.
  • Findings suggest a divergence in computational strategies for accurate structural refinement versus electronic property prediction.