1. Can X-ray constrained Hartree–Fock wavefunctions retrieve electron correlation?
- Author
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Leonardo H. R. Dos Santos, Piero Macchi, Benjamin Meyer, Alessandro Genoni, Structure et Réactivité des Systèmes Moléculaires Complexes (SRSMC), Institut de Chimie du CNRS (INC)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Department of Chemistry and Biochemistry [Bern], and University of Bern
- Subjects
Hartree product ,China Keywords: electron correlation ,electron correlation ,010403 inorganic & nuclear chemistry ,01 natural sciences ,Biochemistry ,Multi-configurational self-consistent field ,Quantum mechanics ,0103 physical sciences ,540 Chemistry ,[CHIM.CRIS]Chemical Sciences/Cristallography ,General Materials Science ,electron density ,lcsh:Science ,density functional theory ,constrained Hartree–Fock wavefunctions ,Physics ,010304 chemical physics ,Electronic correlation ,Edited by C-Y Su ,constrained Hartree-Fock wavefunctions ,Chemistry (all) ,Unrestricted Hartree–Fock ,General Chemistry ,Condensed Matter Physics ,Research Papers ,X-ray constrained wavefunctions ,0104 chemical sciences ,X-ray diffraction ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,Coupled cluster ,Materials Science (all) ,Restricted open-shell Hartree–Fock ,Slater determinant ,570 Life sciences ,biology ,lcsh:Q ,Post-Hartree–Fock ,Sun Yat-Sen University - Abstract
In this study, the X-ray constrained wavefunction approach is carefully investigated in order to assess its ability to capture the effect of electron correlation on electron density. Electron distributions obtained from highly correlated molecular wavefunctions are the benchmarks and their Fourier transforms are used to simulate X-ray intensities for the constrained wavefunction calculations., The X-ray constrained wavefunction (XC-WF) method proposed by Jayatilaka [Jayatilaka & Grimwood (2001) ▸, Acta Cryst. A57, 76–86] has attracted much attention because it represents a possible third way of theoretically studying the electronic structure of atoms and molecules, combining features of the more popular wavefunction- and DFT-based approaches. In its original formulation, the XC-WF technique extracts statistically plausible wavefunctions from experimental X-ray diffraction data of molecular crystals. A weight is used to constrain the pure Hartree–Fock solution to the observed X-ray structure factors. Despite the wavefunction being a single Slater determinant, it is generally assumed that its flexibility could guarantee the capture, better than any other experimental model, of electron correlation effects, absent in the Hartree–Fock Hamiltonian but present in the structure factors measured experimentally. However, although the approach has been known for long time, careful testing of this fundamental hypothesis is still missing. Since a formal demonstration is impossible, the validation can only be done heuristically and, to accomplish this task, X-ray constrained Hartree–Fock calculations have been performed using structure factor amplitudes computed at a very high correlation level (coupled cluster) for selected molecules in isolation, in order to avoid the perturbations due to intermolecular interactions. The results show that a single-determinant XC-WF is able to capture the electron correlation effects only partially. The largest amount of electron correlation is extracted when: (i) a large external weight is used (much larger than what has normally been used in XC-WF calculations using experimental data); and (ii) the high-order reflections, which carry less information on the electron correlation, are down-weighted (or even excluded), otherwise they would bias the fitting towards the unconstrained Hartree–Fock wavefunction.
- Published
- 2017
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