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Samal B, Voora VK. Modeling Nonresonant X-ray Emission of Second- and Third-Period Elements without Core-Hole Reference States and Empirical Parameters. J Chem Theory Comput 2022; 18:7272-7285. [PMID: 36350224 DOI: 10.1021/acs.jctc.2c00647] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Nonresonant X-ray emission (XE) energies and oscillator strengths are obtained using the effective potential of the generalized Kohn-Sham semi-canonical projected random phase approximation (GKS-spRPA) method. XE energies are estimated as a difference between the valence and core ionization eigenvalues, while the oscillator strengths are obtained within a frozen orbital approximation. This straightforward approach provides accurate XE energies without any need for core-hole reference states, empirical shifting parameters, or tuning of density functionals. To account for relativistic corrections to the core orbitals, we have formulated a scalar relativistic (sr) GKS-spRPA approach based on the spin-free X2C one-electron Hamiltonian. The sr-GKS-spRPA method provides highly reliable XE energies using uncontracted basis-sets on atoms where the core-hole is created prior to emission. For the largest basis-sets used in our study, using completely uncontracted polarized core-valence Dunning basis-sets, the mean absolute errors (MAEs) are within 0.7 eV compared to experimental reference values for a test-set consisting of 27 valence-to-core XE energies of molecules with second- and third-period elements. Considering a balance of accuracy and computational effort, we recommend the use of s-uncontracted def2-TZVP for second-period and all-uncontracted def2-TZVP for third-period elements. For this recommended basis-set, the MAE is 0.2 eV. The analytically continued sr-GKS-spRPA approach, with an O(N4) computational cost, enables efficient computation of XE spectra of molecules such as S8 and C60 with several core-hole states.
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Affiliation(s)
- Bibek Samal
- Department of Chemical Sciences, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai400005, India
| | - Vamsee K Voora
- Department of Chemical Sciences, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai400005, India
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2
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Park W, Alías-Rodríguez M, Cho D, Lee S, Huix-Rotllant M, Choi CH. Mixed-Reference Spin-Flip Time-Dependent Density Functional Theory for Accurate X-ray Absorption Spectroscopy. J Chem Theory Comput 2022; 18:6240-6250. [PMID: 36166346 DOI: 10.1021/acs.jctc.2c00746] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
It is demonstrated that the challenging core-hole particle (CHP) orbital relaxation for core electron spectra can be readily achieved by the mixed-reference spin-flip (MRSF)-time-dependent density functional theory (TDDFT). With the additional scalar relativistic effects on K-edge excitation energies of 24 second- and 17 third-row molecules, the particular ΔCHP-MRSF(R) exhibited near perfect predictions with RMSE ∼0.5 eV, featuring a median value of 0.3 and an interquartile range of 0.4. Overall, the CHP effect is 2-4 times stronger than relativistic ones, contributing more than 20 eV in the cases of sulfur and chlorine third-row atoms. Such high precision allows to explain the splitting and spectral shapes of O, N, and C atom K-edges in the ground state of thymine with atom as well as orbital specific accuracy. The same protocol with a double hole particle relaxation also produced remarkably accurate K-edge spectra of core to valence hole excitation energies from the first (nO8π*) and second (ππ*) excited states of thymine, confirming the assignment of 1s → n excitation for the experimentally observed 526.4 eV peak. Regarding both accuracy and practicality, therefore, MRSF-TDDFT provides a promising protocol for core electron spectra of both ground and excited electronic states alike.
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Affiliation(s)
- Woojin Park
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
| | - Marc Alías-Rodríguez
- Aix-Marseille Univ, CNRS, Institut de Chimie Radicalaire, Marseille 13284, France
| | - Daeheum Cho
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
| | - Seunghoon Lee
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
| | - Miquel Huix-Rotllant
- Aix-Marseille Univ, CNRS, Institut de Chimie Radicalaire, Marseille 13284, France
| | - Cheol Ho Choi
- Department of Chemistry, Kyungpook National University, Daegu 41566, South Korea
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3
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Cunha LA, Hait D, Kang R, Mao Y, Head-Gordon M. Relativistic Orbital-Optimized Density Functional Theory for Accurate Core-Level Spectroscopy. J Phys Chem Lett 2022; 13:3438-3449. [PMID: 35412838 DOI: 10.1021/acs.jpclett.2c00578] [Citation(s) in RCA: 20] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
Core-level spectra of 1s electrons of elements heavier than Ne show significant relativistic effects. We combine advances in orbital-optimized density functional theory (OO-DFT) with the spin-free exact two-component (X2C) model for scalar relativistic effects to study K-edge spectra of third period elements. OO-DFT/X2C is found to be quite accurate at predicting energies, yielding a ∼0.5 eV root-mean-square error versus experiment with the modern SCAN (and related) functionals. This marks a significant improvement over the >50 eV deviations that are typical for the popular time-dependent DFT (TDDFT) approach. Consequently, experimental spectra are quite well reproduced by OO-DFT/X2C, sans empirical shifts for alignment. OO-DFT/X2C combines high accuracy with ground state DFT cost and is thus a promising route for computing core-level spectra of third period elements. We also explored K and L edges of 3d transition metals to identify limitations of the OO-DFT/X2C approach in modeling the spectra of heavier atoms.
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Affiliation(s)
- Leonardo A Cunha
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Diptarka Hait
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Richard Kang
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Yuezhi Mao
- Department of Chemistry, Stanford University, Stanford, California 94305, United States
| | - Martin Head-Gordon
- Kenneth S. Pitzer Center for Theoretical Chemistry, Department of Chemistry, University of California, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
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Besley NA. Modeling of the spectroscopy of core electrons with density functional theory. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2021. [DOI: 10.1002/wcms.1527] [Citation(s) in RCA: 23] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
- Nicholas A. Besley
- School of Chemistry, University of Nottingham University Park Nottingham UK
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5
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Holden WM, Jahrman EP, Govind N, Seidler GT. Probing Sulfur Chemical and Electronic Structure with Experimental Observation and Quantitative Theoretical Prediction of Kα and Valence-to-Core Kβ X-ray Emission Spectroscopy. J Phys Chem A 2020; 124:5415-5434. [PMID: 32486638 DOI: 10.1021/acs.jpca.0c04195] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
Abstract
An extensive experimental and theoretical study of the Kα and Kβ high-resolution X-ray emission spectroscopy (XES) of sulfur-bearing systems is presented. This study encompasses a wide range of organic and inorganic compounds, including numerous experimental spectra from both prior published work and new measurements. Employing a linear-response time-dependent density functional theory (LR-TDDFT) approach, strong quantitative agreement is found in the calculation of energy shifts of the core-to-core Kα as well as the full range of spectral features in the valence-to-core Kβ spectrum. The ability to accurately calculate the sulfur Kα energy shift supports the use of sulfur Kα XES as a bulk-sensitive tool for assessing sulfur speciation. The fine structure of the sulfur Kβ spectrum, in conjunction with the theoretical results, is shown to be sensitive to the local electronic structure including effects of symmetry, ligand type and number, and, in the case of organosulfur compounds, to the nature of the bonded organic moiety. This agreement between theory and experiment, augmented by the potential for high-access XES measurements with the latest generation of laboratory-based spectrometers, demonstrates the possibility of broad analytical use of XES for sulfur and nearby third-row elements. The effective solution of the forward problem, i.e., successful prediction of detailed spectra from known molecular structure, also suggests future use of supervised machine learning approaches to experimental inference, as has seen recent interest for interpretation of X-ray absorption near-edge structure (XANES).
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Affiliation(s)
- William M Holden
- Department of Physics, University of Washington, Seattle, Washington 98195, United States
| | - Evan P Jahrman
- Department of Physics, University of Washington, Seattle, Washington 98195, United States
| | - Niranjan Govind
- Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, P.O. Box 999, Richland, Washington 99352, United States
| | - Gerald T Seidler
- Department of Physics, University of Washington, Seattle, Washington 98195, United States
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6
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Fouda AAE, Besley NA. Improving the predictive quality of time‐dependent density functional theory calculations of the X‐ray emission spectroscopy of organic molecules. J Comput Chem 2020; 41:1081-1090. [DOI: 10.1002/jcc.26153] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2019] [Revised: 01/08/2020] [Accepted: 01/08/2020] [Indexed: 12/20/2022]
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7
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Fransson T, Dreuw A. Simulating X-ray Emission Spectroscopy with Algebraic Diagrammatic Construction Schemes for the Polarization Propagator. J Chem Theory Comput 2018; 15:546-556. [DOI: 10.1021/acs.jctc.8b01046] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Thomas Fransson
- Interdisciplinary Center for Scientific Computing, Ruprecht−Karls University, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
- Department of Physics, AlbaNova University Center, Stockholm University, Stockholm SE-106 91, Sweden
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Ruprecht−Karls University, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
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Niskanen J, Kooser K, Koskelo J, Käämbre T, Kunnus K, Pietzsch A, Quevedo W, Hakala M, Föhlisch A, Huotari S, Kukk E. Density functional simulation of resonant inelastic X-ray scattering experiments in liquids: acetonitrile. Phys Chem Chem Phys 2018; 18:26026-26032. [PMID: 27711595 DOI: 10.1039/c6cp03220f] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this paper we report an experimental and computational study of liquid acetonitrile (H3C-C[triple bond, length as m-dash]N) by resonant inelastic X-ray scattering (RIXS) at the N K-edge. The experimental spectra exhibit clear signatures of the electronic structure of the valence states at the N site and incident-beam-polarization dependence is observed as well. Moreover, we find fine structure in the quasielastic line that is assigned to finite scattering duration and nuclear relaxation. We present a simple and light-to-evaluate model for the RIXS maps and analyze the experimental data using this model combined with ab initio molecular dynamics simulations. In addition to polarization-dependence and scattering-duration effects, we pinpoint the effects of different types of chemical bonding to the RIXS spectrum and conclude that the H2C-C[double bond, length as m-dash]NH isomer, suggested in the literature, does not exist in detectable quantities. We study solution effects on the scattering spectra with simulations in liquid and in vacuum. The presented model for RIXS proved to be light enough to allow phase-space-sampling and still accurate enough for identification of transition lines in physical chemistry research by RIXS.
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Affiliation(s)
- Johannes Niskanen
- Institute for Methods and Instrumentation for Synchrotron Radiation Research, Helmholtz-Zentrum Berlin for Materials and Energy, Albert-Einstein-Str 15, D-12489, Berlin, Germany. and Department of Physics, University of Helsinki, Gustav Hällströmin katu 2a, FI-00014, Helsinki, Finland
| | - Kuno Kooser
- Department of Physics and Astronomy, University of Turku, Vesilinnantie 5, FI-20014 Turku, Finland and Institute of Physics, University of Tartu, W. Ostwaldi 1, EE-50411 Tartu, Estonia
| | - Jaakko Koskelo
- Department of Physics, University of Helsinki, Gustav Hällströmin katu 2a, FI-00014, Helsinki, Finland
| | - Tanel Käämbre
- Institute of Physics, University of Tartu, W. Ostwaldi 1, EE-50411 Tartu, Estonia
| | - Kristjan Kunnus
- Institute for Methods and Instrumentation for Synchrotron Radiation Research, Helmholtz-Zentrum Berlin for Materials and Energy, Albert-Einstein-Str 15, D-12489, Berlin, Germany. and Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24/25, D-14476 Potsdam, Germany
| | - Annette Pietzsch
- Institute for Methods and Instrumentation for Synchrotron Radiation Research, Helmholtz-Zentrum Berlin for Materials and Energy, Albert-Einstein-Str 15, D-12489, Berlin, Germany.
| | - Wilson Quevedo
- Institute for Methods and Instrumentation for Synchrotron Radiation Research, Helmholtz-Zentrum Berlin for Materials and Energy, Albert-Einstein-Str 15, D-12489, Berlin, Germany.
| | - Mikko Hakala
- Department of Physics, University of Helsinki, Gustav Hällströmin katu 2a, FI-00014, Helsinki, Finland
| | - Alexander Föhlisch
- Institute for Methods and Instrumentation for Synchrotron Radiation Research, Helmholtz-Zentrum Berlin for Materials and Energy, Albert-Einstein-Str 15, D-12489, Berlin, Germany. and Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24/25, D-14476 Potsdam, Germany
| | - Simo Huotari
- Department of Physics, University of Helsinki, Gustav Hällströmin katu 2a, FI-00014, Helsinki, Finland
| | - Edwin Kukk
- Department of Physics and Astronomy, University of Turku, Vesilinnantie 5, FI-20014 Turku, Finland
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Hanson-Heine MWD, George MW, Besley NA. Kohn-Sham density functional theory calculations of non-resonant and resonant x-ray emission spectroscopy. J Chem Phys 2017. [DOI: 10.1063/1.4977178] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Affiliation(s)
| | - Michael W. George
- School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom
- Department of Chemical and Environmental Engineering, University of Nottingham Ningbo China, 199 Taiking East Rd., Ningbo 315100, Zhejiang, China
| | - Nicholas A. Besley
- School of Chemistry, University of Nottingham, Nottingham NG7 2RD, United Kingdom
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10
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Wadey JD, Besley NA. Quantum Chemical Calculations of X-ray Emission Spectroscopy. J Chem Theory Comput 2015; 10:4557-64. [PMID: 26588149 DOI: 10.1021/ct500566k] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Abstract
The calculation of X-ray emission spectroscopy with equation of motion coupled cluster theory (EOM-CCSD), time-dependent density functional theory (TDDFT), and resolution of the identity single excitation configuration interaction with second-order perturbation theory (RI-CIS(D)) is studied. These methods can be applied to calculate X-ray emission transitions by using a reference determinant with a core-hole, and they provide a convenient approach to compute the X-ray emission spectroscopy of large systems since all of the required states can be obtained within a single calculation, removing the need to perform a separate calculation for each state. For all of the methods, basis sets with the inclusion of additional basis functions to describe core orbitals are necessary, particularly when studying transitions involving the 1s orbitals of heavier nuclei. EOM-CCSD predicts accurate transition energies when compared with experiment; however, its application to larger systems is restricted by its computational cost and difficulty in converging the CCSD equations for a core-hole reference determinant, which become increasing problematic as the size of the system studied increases. While RI-CIS(D) gives accurate transition energies for small molecules containing first row nuclei, its application to larger systems is limited by the CIS states providing a poor zeroth-order reference for perturbation theory which leads to very large errors in the computed transition energies for some states. TDDFT with standard exchange-correlation functionals predicts transition energies that are much larger than experiment. Optimization of a hybrid and short-range corrected functional to predict the X-ray emission transitions results in much closer agreement with EOM-CCSD. The most accurate exchange-correlation functional identified is a modified B3LYP hybrid functional with 66% Hartree-Fock exchange, denoted B(66)LYP, which predicts X-ray emission spectra for a range of molecules including fluorobenzene, nitrobenzene, acetone, dimethyl sulfoxide, and CF3Cl in good agreement with experiment.
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Affiliation(s)
- Jack D Wadey
- School of Chemistry, University of Nottingham , University Park, Nottingham, NG7 2RD, U.K
| | - Nicholas A Besley
- School of Chemistry, University of Nottingham , University Park, Nottingham, NG7 2RD, U.K
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11
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Bohinc R, Žitnik M, Bučar K, Kavčič M, Journel L, Guillemin R, Marchenko T, Simon M, Cao W. Dissociation of chloromethanes upon resonant σ* excitation studied by x-ray scattering. J Chem Phys 2013; 139:134302. [DOI: 10.1063/1.4822326] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
Affiliation(s)
- R Bohinc
- Jožef Stefan Institute, Jamova cesta 39, SI-1000 Ljubljana, Slovenia
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12
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Carniato S, Selles P, Journel L, Guillemin R, Stolte WC, El Khoury L, Marin T, Gel'mukhanov F, Lindle DW, Simon M. Thomson-resonant interference effects in elastic x-ray scattering near the Cl K edge of HCl. J Chem Phys 2012; 137:094311. [DOI: 10.1063/1.4749574] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023] Open
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13
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El Khoury L, Journel L, Guillemin R, Carniato S, Stolte WC, Marin T, Lindle DW, Simon M. Resonant inelastic x-ray scattering of methyl chloride at the chlorine K edge. J Chem Phys 2012; 136:024319. [DOI: 10.1063/1.3675685] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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14
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Horikawa Y, Tokushima T, Hiraya A, Shin S. Pronounced polarization anisotropy in resonant X-ray emission from acetic acid molecules in solution. Phys Chem Chem Phys 2010; 12:9165-8. [DOI: 10.1039/c003644g] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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15
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Guillemin R, Carniato S, Stolte WC, Journel L, Taïeb R, Lindle DW, Simon M. Linear dichroism in resonant inelastic x-ray scattering to molecular spin-orbit states. PHYSICAL REVIEW LETTERS 2008; 101:133003. [PMID: 18851444 DOI: 10.1103/physrevlett.101.133003] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/28/2008] [Indexed: 05/26/2023]
Abstract
Polarization-dependent resonant inelastic x-ray scattering (RIXS) is shown to be a new probe of molecular-field effects on the electronic structure of isolated molecules. A combined experimental and theoretical analysis explains the linear dichroism observed in Cl 2p RIXS following Cl 1s excitation in HCl and CF3Cl as due to molecular-field effects, including singlet-triplet exchange, indicating polarized-RIXS provides a direct probe of spin-orbit-state populations applicable to any molecule.
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Affiliation(s)
- R Guillemin
- UPMC Univ Paris 06, UMR 7614, Laboratoire de Chimie Physique Matière et Rayonnement, F-75005 Paris, France
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Hudson AC, Stolte WC, Lindle DW, Guillemin R. Design and performance of a curved-crystal x-ray emission spectrometer. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2007; 78:053101. [PMID: 17552806 DOI: 10.1063/1.2735933] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/15/2023]
Abstract
A curved-crystal x-ray emission spectrometer has been designed and built to measure 2-5 keV x-ray fluorescence resulting from a core-level excitation of gas phase species. The spectrometer can rotate 180 degrees, allowing detection of emitted x rays with variable polarization angles, and is capable of collecting spectra over a wide energy range (20 eV wide with 0.5 eV resolution at the Cl K edge) simultaneously. In addition, the entire experimental chamber can be rotated about the incident-radiation axis by nearly 360 degrees while maintaining vacuum, permitting measurements of angular distributions of emitted x rays.
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Affiliation(s)
- A C Hudson
- University of Nevada, Las Vegas, NV 89154, USA
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17
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Glans P, Gunnelin K, Skytt P, Guo J, Wassdahl N, Nordgren J, Ågren H, Gel'mukhanov FK, Warwick T, Rotenberg E. Resonant x-ray emission spectroscopy of molecular oxygen. PHYSICAL REVIEW LETTERS 1996; 76:2448-2451. [PMID: 10060702 DOI: 10.1103/physrevlett.76.2448] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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18
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Luo Y, gren H, Gel'mukhanov F. Polarization anisotropy in resonant x-ray emission from molecules. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:1340-1348. [PMID: 9913023 DOI: 10.1103/physreva.53.1340] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
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19
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Bozek JD, Saito N, Suzuki IH. Asymmetry parameters for CO2 around the C K and O K ionization edges from the anisotropy of the ion distributions. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4563-4574. [PMID: 9912145 DOI: 10.1103/physreva.51.4563] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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20
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Ederer DL, Callcott TA, Perera RCC. Soft X-ray fluorescence: A multifaceted window to view the electronic structure of matter. ACTA ACUST UNITED AC 1994. [DOI: 10.1080/08940889408261284] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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21
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Bozek JD, Saito N, Suzuki IH. Asymmetry in the ionic fragmentation of N2O photoexcited around the N and O K edges. J Chem Phys 1993. [DOI: 10.1063/1.464969] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Kosugi N, Adachi J, Shigemasa E, Yagishita A. High‐resolution and symmetry‐resolved N and O K‐edge absorption spectra of NO. J Chem Phys 1992. [DOI: 10.1063/1.463359] [Citation(s) in RCA: 81] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Kosugi N, Shigemasa E, Yagishita A. High-resolution and symmetry-resolved oxygen K-edge spectra of O2. Chem Phys Lett 1992. [DOI: 10.1016/0009-2614(92)85177-c] [Citation(s) in RCA: 111] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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24
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Southworth SH, Lindle DW, Mayer R, Cowan PL. Anisotropy of polarized x-ray emission from molecules. PHYSICAL REVIEW LETTERS 1991; 67:1098-1101. [PMID: 10045075 DOI: 10.1103/physrevlett.67.1098] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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25
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Perera RC, Cowan PL, Lindle DW, LaVilla RE, Jach T, Deslattes RD. Molecular-orbital studies via satellite-free x-ray fluorescence: Cl K absorption and K-valence-level emission spectra of chlorofluoromethanes. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:3609-3618. [PMID: 9905448 DOI: 10.1103/physreva.43.3609] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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