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Moreno Carrascosa A, Coe JP, Simmermacher M, Paterson MJ, Kirrander A. Towards high-resolution X-ray scattering as a probe of electron correlation. Phys Chem Chem Phys 2022; 24:24542-24552. [DOI: 10.1039/d2cp02933b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
We demonstrate that X-ray scattering can be used as a probe of electron–electron correlation.
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Affiliation(s)
- Andrés Moreno Carrascosa
- EaStCHEM, School of Chemistry, University of Edinburgh, Edinburgh EH9 3FJ, UK
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QZ, UK
| | - Jeremy P. Coe
- Institute of Chemical Sciences, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
| | - Mats Simmermacher
- EaStCHEM, School of Chemistry, University of Edinburgh, Edinburgh EH9 3FJ, UK
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QZ, UK
| | - Martin J. Paterson
- Institute of Chemical Sciences, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
| | - Adam Kirrander
- EaStCHEM, School of Chemistry, University of Edinburgh, Edinburgh EH9 3FJ, UK
- Department of Chemistry, Physical and Theoretical Chemistry Laboratory, University of Oxford, South Parks Road, Oxford OX1 3QZ, UK
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2
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Zotev N, Moreno Carrascosa A, Simmermacher M, Kirrander A. Excited Electronic States in Total Isotropic Scattering from Molecules. J Chem Theory Comput 2020; 16:2594-2605. [DOI: 10.1021/acs.jctc.9b00670] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nikola Zotev
- EaStCHEM School of Chemistry and Centre for Science at Extreme Conditions, University of Edinburgh, David Brewster Road, Edinburgh EH9 3FJ, U.K
| | - Andrés Moreno Carrascosa
- EaStCHEM School of Chemistry and Centre for Science at Extreme Conditions, University of Edinburgh, David Brewster Road, Edinburgh EH9 3FJ, U.K
| | - Mats Simmermacher
- EaStCHEM School of Chemistry and Centre for Science at Extreme Conditions, University of Edinburgh, David Brewster Road, Edinburgh EH9 3FJ, U.K
| | - Adam Kirrander
- EaStCHEM School of Chemistry and Centre for Science at Extreme Conditions, University of Edinburgh, David Brewster Road, Edinburgh EH9 3FJ, U.K
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Moreno Carrascosa A, Yong H, Crittenden DL, Weber PM, Kirrander A. Ab Initio Calculation of Total X-ray Scattering from Molecules. J Chem Theory Comput 2019; 15:2836-2846. [PMID: 30875212 DOI: 10.1021/acs.jctc.9b00056] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
We present a method to calculate total X-ray scattering cross sections directly from ab initio electronic wave functions in atoms and molecules. The approach can be used in conjunction with multiconfigurational wave functions and exploits analytical integrals of Gaussian-type functions over the scattering operator, which leads to accurate and efficient calculations. The results are validated by comparison to experimental results and previous theory for the molecules H2 and CO2. Importantly, we find that the inelastic component of the total scattering varies strongly with molecular geometry. The method is appropriate for use in conjunction with quantum molecular dynamics simulations for the analysis of new ultrafast X-ray scattering experiments and to interpret accurate gas-phase scattering experiments.
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Affiliation(s)
- Andrés Moreno Carrascosa
- EaStCHEM, School of Chemistry , University of Edinburgh , David Brewster Road , EH9 3FJ Edinburgh , United Kingdom
| | - Haiwang Yong
- Department of Chemistry , Brown University , Providence , Rhode Island 02912 , United States
| | - Deborah L Crittenden
- Department of Chemistry , University of Canterbury , Private Bag 4800 , Christchurch 8041 , New Zealand
| | - Peter M Weber
- Department of Chemistry , Brown University , Providence , Rhode Island 02912 , United States
| | - Adam Kirrander
- EaStCHEM, School of Chemistry , University of Edinburgh , David Brewster Road , EH9 3FJ Edinburgh , United Kingdom
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Moreno Carrascosa A, Northey T, Kirrander A. Imaging rotations and vibrations in polyatomic molecules with X-ray scattering. Phys Chem Chem Phys 2017; 19:7853-7863. [DOI: 10.1039/c6cp06793j] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
An approach for calculating elastic X-ray scattering from polyatomic molecules in specific electronic, vibrational, and rotational states is presented, and is used to consider the characterization of specific states in polyatomic molecules using elastic X-ray scattering.
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Affiliation(s)
| | - Thomas Northey
- EaStCHEM
- School of Chemistry
- University of Edinburgh
- EH9 3FJ Edinburgh
- UK
| | - Adam Kirrander
- EaStCHEM
- School of Chemistry
- University of Edinburgh
- EH9 3FJ Edinburgh
- UK
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Northey T, Moreno Carrascosa A, Schäfer S, Kirrander A. Elastic X-ray scattering from state-selected molecules. J Chem Phys 2016; 145:154304. [PMID: 27782487 DOI: 10.1063/1.4962256] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The characterization of electronic, vibrational, and rotational states using elastic (coherent) X-ray scattering is considered. The scattering is calculated directly from complete active space self-consistent field level ab initio wavefunctions for H2 molecules in the ground-state X1Σg+ and first-excited EF1Σg+ electronic states. The calculated scattering is compared to recent experimental measurements [Y.-W. Liu et al., Phys. Rev. A 89, 014502 (2014)], and the influence of vibrational and rotational states on the observed signal is examined. The scaling of the scattering calculations with basis set is quantified, and it is found that energy convergence of the ab initio calculations is a good indicator of the quality of the scattering calculations.
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Affiliation(s)
- Thomas Northey
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, United Kingdom
| | - Andrés Moreno Carrascosa
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, United Kingdom
| | - Steffen Schäfer
- Aix-Marseille Université and Institut Matériaux Microélectronique Nanosciences de Provence (IM2NP), Marseille, France
| | - Adam Kirrander
- EaStCHEM, School of Chemistry, University of Edinburgh, David Brewster Road, EH9 3FJ Edinburgh, United Kingdom
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Brinkmann LUL, Hub JS. Anisotropic time-resolved solution X-ray scattering patterns from explicit-solvent molecular dynamics. J Chem Phys 2015; 143:104108. [DOI: 10.1063/1.4930013] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Levin U. L. Brinkmann
- Institute for Microbiology and Genetics, Georg-August-University Göttingen, Justus-von-Liebig-Weg 11, 37077 Göttingen, Germany
| | - Jochen S. Hub
- Institute for Microbiology and Genetics, Georg-August-University Göttingen, Justus-von-Liebig-Weg 11, 37077 Göttingen, Germany
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Northey T, Zotev N, Kirrander A. Ab Initio Calculation of Molecular Diffraction. J Chem Theory Comput 2014; 10:4911-20. [PMID: 26584376 DOI: 10.1021/ct500096r] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Abstract
We discuss the application of ab initio X-ray diffraction (AIXRD) to the interpretation of time-resolved and static X-ray diffraction. In our approach, elastic X-ray scattering is calculated directly from the ab initio multiconfigurational wave function via a Fourier transform of the electron density, using the first Born approximation for elastic scattering. Significant gains in efficiency can be obtained by performing the required Fourier transforms analytically, making it possible to combine the calculation of ab initio X-ray diffraction with expensive quantum dynamics simulations. We show that time-resolved X-ray diffraction can detect not only changes in molecular geometry but also changes in the electronic state of a molecule. Calculations for cis-, trans-, and cyclo-butadiene, as well as benzene and 1,3-cyclohexadiene are included.
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Affiliation(s)
- Thomas Northey
- School of Chemistry, University of Edinburgh , West Mains Road, Edinburgh EH9 3JJ, United Kingdom
| | - Nikola Zotev
- School of Chemistry, University of Edinburgh , West Mains Road, Edinburgh EH9 3JJ, United Kingdom
| | - Adam Kirrander
- School of Chemistry, University of Edinburgh , West Mains Road, Edinburgh EH9 3JJ, United Kingdom
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Affiliation(s)
- Majed Chergui
- Ecole Polytechnique Fédérale de Lausanne, Laboratoire de Spectroscopie Ultrarapide, ISIC, FSB, Station 6, CH-1015 Lausanne, Switzerland.
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Abe H, Ohtsuki Y. Development of nonresonant optimal control simulation to include polarization effects of laser pulses. Chem Phys 2012. [DOI: 10.1016/j.chemphys.2012.01.025] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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