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Savchenko V, Eckert S, Fondell M, Mitzner R, Vaz da Cruz V, Föhlisch A. Electronic structure, bonding and stability of fumarate, maleate, and succinate dianions from X-ray spectroscopy. Phys Chem Chem Phys 2024; 26:2304-2311. [PMID: 38165713 DOI: 10.1039/d3cp04348g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2024]
Abstract
The electronic structure of the fumarate, maleate, and succinate dianions in the context of their stability is determined in a joint experimental and computational study with X-ray absorption spectroscopy and resonant inelastic X-ray scattering at the O K-edge. The study reveals differences in the electronic states and molecular orbitals of the three molecules. In particular, maleate has a non-degenerate oxygen core-orbital with an energy difference of approximately 0.15 eV, visible in a two peak structure in XAS. Polarization-dependent RIXS provides information on the orientation of the occupied valence molecular orbitals with respect to the carboxylate group plane and shows a gradually increasing energy gap between the HOMO and excited π* LUMO from fumarate to maleate to succinate. We also demonstrate the energy excitation dependence of the RIXS spectra of maleate, with the total inelastic RIXS profile shifting towards higher energy loss as the detuning is increased from negative to positive values. Our findings show that maleate is less stable than fumarate and succinate due to the presence of electronic density on its HOMO orbital on the CC bond between carboxylate groups, which can lead to weaker bonding of maleate with molecules or ions.
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Affiliation(s)
- Viktoriia Savchenko
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
| | - Sebastian Eckert
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
| | - Mattis Fondell
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
| | - Rolf Mitzner
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
| | - Vincius Vaz da Cruz
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
| | - Alexander Föhlisch
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Institute for Methods and Instrumentation for Synchrotron Radiation Research, 12489 Berlin, Germany.
- Institut für Physik und Astronomie, Universität Potsdam, 14476 Potsdam, Germany
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2
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Montorsi F, Segatta F, Nenov A, Mukamel S, Garavelli M. Soft X-ray Spectroscopy Simulations with Multiconfigurational Wave Function Theory: Spectrum Completeness, Sub-eV Accuracy, and Quantitative Reproduction of Line Shapes. J Chem Theory Comput 2022; 18:1003-1016. [PMID: 35073066 PMCID: PMC8830047 DOI: 10.1021/acs.jctc.1c00566] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/07/2021] [Indexed: 01/04/2023]
Abstract
Multireference methods are known for their ability to accurately treat states of very different nature in many molecular systems, facilitating high-quality simulations of a large variety of spectroscopic techniques. Here, we couple the multiconfigurational restricted active space self-consistent field RASSCF/RASPT2 method (of the CASSCF/CASPT2 methods family) to the displaced harmonic oscillator (DHO) model, to simulate soft X-ray spectroscopy. We applied such an RASSCF/RASPT2+DHO approach at the K-edges of various second-row elements for a set of small organic molecules that have been recently investigated at other levels of theory. X-ray absorption near-edge structure (XANES) and X-ray photoelectron spectroscopy (XPS) are simulated with a sub-eV accuracy and a correct description of the spectral line shapes. The method is extremely sensitive to the observed spectral shifts on a series of differently fluorinated ethylene systems, provides spectral fingerprints to distinguish between stable conformers of the glycine molecule, and accurately captures the vibrationally resolved carbon K-edge spectrum of formaldehyde. Differences with other theoretical methods are demonstrated, which show the advantages of employing a multireference/multiconfigurational approach. A protocol to systematically increase the number of core-excited states considered while maintaining a contained computational cost is presented. Insight is eventually provided for the effects caused by removing core-electrons from a given atom in terms of bond rearrangement and influence on the resulting spectral shapes within a unitary orbital-based framework for both XPS and XANES spectra.
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Affiliation(s)
- Francesco Montorsi
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
| | - Francesco Segatta
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
| | - Artur Nenov
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
| | - Shaul Mukamel
- Department
of Chemistry and Department of Physics & Astronomy, University of California, Irvine, California 92697-2025, United States
| | - Marco Garavelli
- Department
of Industrial Chemistry “Toso Montanari”, University of Bologna, Viale del Risorgimento, 4, 40136 Bologna, Italy
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3
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Weser O, Guther K, Ghanem K, Li Manni G. Stochastic Generalized Active Space Self-Consistent Field: Theory and Application. J Chem Theory Comput 2021; 18:251-272. [PMID: 34898215 PMCID: PMC8757470 DOI: 10.1021/acs.jctc.1c00936] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An algorithm to perform stochastic generalized active space calculations, Stochastic-GAS, is presented, that uses the Slater determinant based FCIQMC algorithm as configuration interaction eigensolver. Stochastic-GAS allows the construction and stochastic optimization of preselected truncated configuration interaction wave functions, either to reduce the computational costs of large active space wave function optimizations, or to probe the role of specific electron correlation pathways. As for the conventional GAS procedure, the preselection of the truncated wave function is based on the selection of multiple active subspaces while imposing restrictions on the interspace excitations. Both local and cumulative minimum and maximum occupation number constraints are supported by Stochastic-GAS. The occupation number constraints are efficiently encoded in precomputed probability distributions, using the precomputed heat bath algorithm, which removes nearly all runtime overhead of GAS. This strategy effectively allows the FCIQMC dynamics to a priori exclude electronic configurations that are not allowed by GAS restrictions. Stochastic-GAS reduced density matrices are stochastically sampled, allowing orbital relaxations via Stochastic-GASSCF, and direct evaluation of properties that can be extracted from density matrices, such as the spin expectation value. Three test case applications have been chosen to demonstrate the flexibility of Stochastic-GAS: (a) the Stochastic-GASSCF [5·(6, 6)] optimization of a stack of five benzene molecules, that shows the applicability of Stochastic-GAS toward fragment-based chemical systems; (b) an uncontracted stochastic MRCISD calculation that correlates 96 electrons and 159 molecular orbitals, and uses a large (32, 34) active space reference wave function for an Fe(II)-porphyrin model system, showing how GAS can be applied to systematically recover dynamic electron correlation, and how in the specific case of the Fe(II)-porphyrin dynamic correlation further differentially stabilizes the 3Eg over the 5A1g spin state; (c) the study of an Fe4S4 cluster's spin-ladder energetics via highly truncated stochastic-GAS [4·(5, 5)] wave functions, where we show how GAS can be applied to understand the competing spin-exchange and charge-transfer correlating mechanisms in stabilizing different spin-states.
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Affiliation(s)
- Oskar Weser
- Max-Planck-Institute for Solid State Research, Stuttgart, 70569, Germany
| | - Kai Guther
- Max-Planck-Institute for Solid State Research, Stuttgart, 70569, Germany.,RIKEN Center for Computational Science, 7-1-26 minatojima-minami, Chuo Kobe 650-0047, Japan
| | - Khaldoon Ghanem
- Max-Planck-Institute for Solid State Research, Stuttgart, 70569, Germany
| | - Giovanni Li Manni
- Max-Planck-Institute for Solid State Research, Stuttgart, 70569, Germany
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4
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Abstract
AbstractA genetic algorithm (GA) is developed and applied to make proper connections of final-state potential-energy surfaces and X-ray emission (XES) cross sections between steps in the time-propagation of H-bonded systems after a core–hole is created. We show that this modification results in significantly improved resolution of spectral features in XES with the semiclassical Kramers–Heisenberg approach which takes into account important interference effects. We demonstrate the effects on a water pentamer model as well as on two 17-molecules water clusters representing, respectively, tetrahedral (D2A2) and asymmetric (D1A1) H-bonding environments. For D2A2, the applied procedure improves significantly the obtained intensities, whereas for D1A1 the effects are smaller due to milder dynamics during the core–hole life-time as only one hydrogen is involved. We reinvestigate XES for liquid ethanol and, by properly disentangling the relevant states in the dense manifold of states using the GA, now resolve the important 3a′′ state as a peak rather than a shoulder. Furthermore, by applying the SpecSwap-RMC procedure, we reweigh the distribution of structures in the sampling of the liquid to fit to experiment and estimate the ratio between the main anti and gauche conformers in the liquid at room temperature. This combination of techniques will be generally applicable to challenging problems in liquid-phase spectroscopy.
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5
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Kamal C, Hauschild D, Seitz L, Steininger R, Yang W, Heske C, Weinhardt L, Odelius M. Coupling Methylammonium and Formamidinium Cations with Halide Anions: Hybrid Orbitals, Hydrogen Bonding, and the Role of Dynamics. THE JOURNAL OF PHYSICAL CHEMISTRY. C, NANOMATERIALS AND INTERFACES 2021; 125:25917-25926. [PMID: 34868447 PMCID: PMC8634158 DOI: 10.1021/acs.jpcc.1c08932] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/13/2021] [Revised: 10/27/2021] [Indexed: 06/13/2023]
Abstract
The electronic structures of four precursors for organic-inorganic hybrid perovskites, namely, methylammonium chloride and iodide, as well as formamidinium bromide and iodide, are investigated by X-ray emission (XE) spectroscopy at the carbon and nitrogen K-edges. The XE spectra are analyzed based on density functional theory calculations. We simulate the XE spectra at the Kohn-Sham level for ground-state geometries and carry out detailed analyses of the molecular orbitals and the electronic density of states to give a thorough understanding of the spectra. Major parts of the spectra can be described by the model of the corresponding isolated organic cation, whereas high-emission energy peaks in the nitrogen K-edge XE spectra arise from electronic transitions involving hybrids of the molecular and atomic orbitals of the cations and halides, respectively. We find that the interaction of the methylammonium cation is stronger with the chlorine than with the iodine anion. Furthermore, our detailed theoretical analysis highlights the strong influence of ultrafast proton dynamics in the core-excited states, which is an intrinsic effect of the XE process. The inclusion of this effect is necessary for an accurate description of the experimental nitrogen K-edge X-ray emission spectra and gives information on the hydrogen-bonding strengths in the different precursor materials.
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Affiliation(s)
- Chinnathambi Kamal
- Department
of Physics, Stockholm University, AlbaNova
University Center, SE-106 91 Stockholm, Sweden
- Theory
and Simulations Laboratory, HRDS, Raja Ramanna Centre for Advanced
Technology, Indore 452013, India
- Homi
Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India
| | - Dirk Hauschild
- Institute
for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), 76344 Eggenstein-Leopoldshafen, Germany
- Institute
for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany
- Department
of Chemistry and Biochemistry, University
of Nevada Las Vegas (UNLV), Las
Vegas, Nevada 89154-4003, United States
| | - Linsey Seitz
- Institute
for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), 76344 Eggenstein-Leopoldshafen, Germany
- Department
of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, United States
| | - Ralph Steininger
- Institute
for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), 76344 Eggenstein-Leopoldshafen, Germany
| | - Wanli Yang
- Advanced
Light Source (ALS), Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
| | - Clemens Heske
- Institute
for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), 76344 Eggenstein-Leopoldshafen, Germany
- Institute
for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany
- Department
of Chemistry and Biochemistry, University
of Nevada Las Vegas (UNLV), Las
Vegas, Nevada 89154-4003, United States
| | - Lothar Weinhardt
- Institute
for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), 76344 Eggenstein-Leopoldshafen, Germany
- Institute
for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany
- Department
of Chemistry and Biochemistry, University
of Nevada Las Vegas (UNLV), Las
Vegas, Nevada 89154-4003, United States
| | - Michael Odelius
- Department
of Physics, Stockholm University, AlbaNova
University Center, SE-106 91 Stockholm, Sweden
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6
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Brumboiu IE, Rehn DR, Dreuw A, Rhee YM, Norman P. Analytical gradients for core-excited states in the algebraic diagrammatic construction (ADC) framework. J Chem Phys 2021; 155:044106. [PMID: 34340367 DOI: 10.1063/5.0058221] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
Abstract
Expressions for analytical molecular gradients of core-excited states have been derived and implemented for the hierarchy of algebraic diagrammatic construction (ADC) methods up to extended second-order within the core-valence separation (CVS) approximation. We illustrate the use of CVS-ADC gradients by determining relaxed core-excited state potential energy surfaces and optimized geometries for water, formic acid, and benzene. For water, our results show that in the dissociative lowest core-excited state, a linear configuration is preferred. For formic acid, we find that the O K-edge lowest core-excited state is non-planar, a fact that is not captured by the equivalent core approximation where the core-excited atom with its hole is replaced by the "Z + 1" neighboring atom in the periodic table. For benzene, the core-excited state gradients are presented along the Jahn-Teller distorted geometry of the 1s → π* excited state. Our development may pave a new path to studying the dynamics of molecules in their core-excited states.
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Affiliation(s)
- Iulia Emilia Brumboiu
- Department of Chemistry, Pohang University of Science and Technology (POSTECH), 37673 Pohang, Republic of Korea
| | - Dirk R Rehn
- Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany
| | - Andreas Dreuw
- Interdisciplinary Center for Scientific Computing, Heidelberg University, 69120 Heidelberg, Germany
| | - Young Min Rhee
- Department of Chemistry, Korea Advanced Institute of Science and Technology, 34141 Daejeon, Republic of Korea
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
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7
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Fouda AEA, Ho PJ. Site-specific generation of excited state wavepackets with high-intensity attosecond x rays. J Chem Phys 2021; 154:224111. [PMID: 34241215 DOI: 10.1063/5.0050891] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Abstract
High-intensity attosecond x rays can produce coherent superpositions of valence-excited states through two-photon Raman transitions. The broad-bandwidth, high-field nature of the pulses results in a multitude of accessible excited states. Multiconfigurational quantum chemistry with the time-dependent Schrödinger equation is used to examine population transfer dynamics in stimulated x-ray Raman scattering of the nitric oxide oxygen and nitrogen K-edges. Two pulse schemes initiate wavepackets of different characters and demonstrate how chemical differences between core-excitation pathways affect the dynamics. The population transfer to valence-excited states is found to be sensitive to the electronic structure and pulse conditions, highlighting complexities attributed to the Rabi frequency. The orthogonally polarized two-color-pulse setup has increased selectivity while facilitating longer, less intense pulses than the one-pulse setup. Population transfer in the 1s → Rydberg region is more effective but less selective at the nitrogen K-edge; the selectivity is reduced by double core-excited states. Result interpretation is aided by resonant inelastic x-ray scattering maps.
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Affiliation(s)
- Adam E A Fouda
- Chemical Sciences and Engineering Division, Argonne National Laboratory, 9700 S Cass Avenue, Lemont, Illinois 60439, USA
| | - Phay J Ho
- Chemical Sciences and Engineering Division, Argonne National Laboratory, 9700 S Cass Avenue, Lemont, Illinois 60439, USA
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8
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Savchenko V, Ekholm V, Brumboiu IE, Norman P, Pietzsch A, Föhlisch A, Rubensson JE, Gråsjö J, Björneholm O, Såthe C, Dong M, Schmitt T, McNally D, Lu X, Krasnov P, Polyutov SP, Gel'mukhanov F, Odelius M, Kimberg V. Hydrogen bond effects in multimode nuclear dynamics of acetic acid observed via resonant x-ray scattering. J Chem Phys 2021; 154:214304. [PMID: 34240997 DOI: 10.1063/5.0049966] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A theoretical and experimental study of the gas phase and liquid acetic acid based on resonant inelastic x-ray scattering (RIXS) spectroscopy is presented. We combine and compare different levels of theory for an isolated molecule for a comprehensive analysis, including electronic and vibrational degrees of freedom. The excitation energy scan over the oxygen K-edge absorption reveals nuclear dynamic effects in the core-excited and final electronic states. The theoretical simulations for the monomer and two different forms of the dimer are compared against high-resolution experimental data for pure liquid acetic acid. We show that the theoretical model based on a dimer describes the hydrogen bond formation in the liquid phase well and that this bond formation sufficiently alters the RIXS spectra, allowing us to trace these effects directly from the experiment. Multimode vibrational dynamics is accounted for in our simulations by using a hybrid time-dependent stationary approach for the quantum nuclear wave packet simulations, showing the important role it plays in RIXS.
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Affiliation(s)
- Viktoriia Savchenko
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Victor Ekholm
- Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-751 20 Uppsala, Sweden
| | - Iulia Emilia Brumboiu
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Annette Pietzsch
- Institute for Methods and Instrumentation in Synchrotron Radiation Research PS-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, Berlin 12489, Germany
| | - Alexander Föhlisch
- Institute for Methods and Instrumentation in Synchrotron Radiation Research PS-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, Berlin 12489, Germany
| | - Jan-Erik Rubensson
- Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-751 20 Uppsala, Sweden
| | - Johan Gråsjö
- Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-751 20 Uppsala, Sweden
| | - Olle Björneholm
- Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-751 20 Uppsala, Sweden
| | - Conny Såthe
- MAX IV Laboratory, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden
| | - Minjie Dong
- Department of Physics and Astronomy, Uppsala University, P.O. Box 516, SE-751 20 Uppsala, Sweden
| | - Thorsten Schmitt
- Swiss Light Source, Photon Science Division, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Daniel McNally
- Swiss Light Source, Photon Science Division, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Xingye Lu
- Swiss Light Source, Photon Science Division, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Pavel Krasnov
- International Research Center of Spectroscopy and Quantum Chemistry-IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia
| | - Sergey P Polyutov
- International Research Center of Spectroscopy and Quantum Chemistry-IRC SQC, Siberian Federal University, 660041 Krasnoyarsk, Russia
| | - Faris Gel'mukhanov
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
| | - Michael Odelius
- Department of Physics, Stockholm University, AlbaNova University Center, 10691 Stockholm, Sweden
| | - Victor Kimberg
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
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9
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Rankine CD, Penfold TJ. Progress in the Theory of X-ray Spectroscopy: From Quantum Chemistry to Machine Learning and Ultrafast Dynamics. J Phys Chem A 2021; 125:4276-4293. [DOI: 10.1021/acs.jpca.0c11267] [Citation(s) in RCA: 24] [Impact Index Per Article: 8.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- C. D. Rankine
- Chemistry—School of Natural and Environmental Sciences, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K
| | - T. J. Penfold
- Chemistry—School of Natural and Environmental Sciences, Newcastle University, Newcastle upon Tyne, NE1 7RU, U.K
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10
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Vaz da Cruz V, Eckert S, Föhlisch A. TD-DFT simulations of K-edge resonant inelastic X-ray scattering within the restricted subspace approximation. Phys Chem Chem Phys 2021; 23:1835-1848. [DOI: 10.1039/d0cp04726k] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
Truncation of orbital subspaces in TD-DFT yields an accurate description of RIXS spectra for soft X-ray K-edges.
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Affiliation(s)
- Vinícius Vaz da Cruz
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH
- Institute for Methods and Instrumentation for Synchrotron Radiation Research
- 12489 Berlin
- Germany
| | - Sebastian Eckert
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH
- Institute for Methods and Instrumentation for Synchrotron Radiation Research
- 12489 Berlin
- Germany
| | - Alexander Föhlisch
- Helmholtz-Zentrum Berlin für Materialien und Energie GmbH
- Institute for Methods and Instrumentation for Synchrotron Radiation Research
- 12489 Berlin
- Germany
- Universität Potsdam
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11
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Fouda AEA, Seitz LC, Hauschild D, Blum M, Yang W, Heske C, Weinhardt L, Besley NA. Observation of Double Excitations in the Resonant Inelastic X-ray Scattering of Nitric Oxide. J Phys Chem Lett 2020; 11:7476-7482. [PMID: 32787301 DOI: 10.1021/acs.jpclett.0c01981] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The nitrogen K-edge resonant inelastic X-ray scattering (RIXS) map of nitric oxide (NO) has been measured and simulated to provide a detailed analysis of the observed features. High-resolution experimental RIXS maps were collected using an in situ gas flow cell and a high-transmission soft X-ray spectrometer. Accurate descriptions of the ground, excited, and core-excited states are based upon restricted active space self-consistent-field calculations using second order multiconfigurational perturbation theory. The nitrogen K-edge RIXS map of NO shows a range of features that can be assigned to intermediate states arising from 1s → π* and 1s → Rydberg excitations; additional bands are attributed to doubly excited intermediate states comprising 1s → π* and π → π* excitations. These results provide a detailed picture of RIXS for an open-shell molecule and an extensive description of the core-excited electronic structure of NO, an important molecule in many chemical and biological processes.
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Affiliation(s)
- Adam E A Fouda
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
| | - Linsey C Seitz
- Institute for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), Hermann-v.-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
- Department of Chemical and Biological Engineering, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
| | - Dirk Hauschild
- Institute for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), Hermann-v.-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
- Institute for Chemical Technology and Polymer Chemistry (ITCP), Karlsruhe Institute of Technology (KIT), Engesserstrasse 18/20, 76128 Karlsruhe, Germany
- Department of Chemistry and Biochemistry, University of Nevada, Las Vegas (UNLV), 4505 Maryland Parkway, Las Vegas, Nevada 89154-4003, United States
| | - Monika Blum
- Department of Chemistry and Biochemistry, University of Nevada, Las Vegas (UNLV), 4505 Maryland Parkway, Las Vegas, Nevada 89154-4003, United States
- Advanced Light Source, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, United States
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, United States
| | - Wanli Yang
- Advanced Light Source, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, United States
| | - Clemens Heske
- Institute for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), Hermann-v.-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
- Institute for Chemical Technology and Polymer Chemistry (ITCP), Karlsruhe Institute of Technology (KIT), Engesserstrasse 18/20, 76128 Karlsruhe, Germany
- Department of Chemistry and Biochemistry, University of Nevada, Las Vegas (UNLV), 4505 Maryland Parkway, Las Vegas, Nevada 89154-4003, United States
| | - Lothar Weinhardt
- Institute for Photon Science and Synchrotron Radiation (IPS), Karlsruhe Institute of Technology (KIT), Hermann-v.-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany
- Institute for Chemical Technology and Polymer Chemistry (ITCP), Karlsruhe Institute of Technology (KIT), Engesserstrasse 18/20, 76128 Karlsruhe, Germany
- Department of Chemistry and Biochemistry, University of Nevada, Las Vegas (UNLV), 4505 Maryland Parkway, Las Vegas, Nevada 89154-4003, United States
| | - Nicholas A Besley
- School of Chemistry, University of Nottingham, University Park, Nottingham NG7 2RD, U.K
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12
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Nanda KD, Krylov AI. A simple molecular orbital picture of RIXS distilled from many-body damped response theory. J Chem Phys 2020; 152:244118. [PMID: 32611000 DOI: 10.1063/5.0010295] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
Abstract
Ab initio calculations of resonant inelastic x-ray scattering (RIXS) often rely on damped response theory, which prevents the divergence of response solutions in the resonant regime. Within the damped response theory formalism, RIXS moments are expressed as the sum over all electronic states of the system [sum-over-states (SOS) expressions]. By invoking resonance arguments, this expression can be reduced to a few terms, an approximation commonly exploited for the interpretation of computed cross sections. We present an alternative approach: a rigorous formalism for deriving a simple molecular orbital picture of the RIXS process from many-body calculations using the damped response theory. In practical implementations, the SOS expressions of RIXS moments are recast in terms of matrix elements between the zero-order wave functions and first-order frequency-dependent response wave functions of the initial and final states such that the RIXS moments can be evaluated using complex response one-particle transition density matrices (1PTDMs). Visualization of these 1PTDMs connects the RIXS process with the changes in electronic density. We demonstrate that the real and imaginary components of the response 1PTDMs can be interpreted as contributions of the undamped off-resonance and damped near-resonance SOS terms, respectively. By analyzing these 1PTDMs in terms of natural transition orbitals, we derive a rigorous, black-box mapping of the RIXS process into a molecular orbital picture. We illustrate the utility of the new tool by analyzing RIXS transitions in the OH radical, benzene, para-nitroaniline, and 4-amino-4'-nitrostilbene. These examples highlight the significance of both the near-resonance and off-resonance channels.
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Affiliation(s)
- Kaushik D Nanda
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
| | - Anna I Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
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Sankari A, Stråhlman C, Sankari R, Partanen L, Laksman J, Kettunen JA, Galván IF, Lindh R, Malmqvist PÅ, Sorensen SL. Non-radiative decay and fragmentation in water molecules after 1a1−14a1 excitation and core ionization studied by electron-energy-resolved electron–ion coincidence spectroscopy. J Chem Phys 2020; 152:074302. [DOI: 10.1063/1.5141414] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022] Open
Affiliation(s)
- Anna Sankari
- Department of Physics, Lund University, P.O. Box 118, S-22100 Lund, Sweden
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O. Box 124, S-22100 Lund, Sweden
| | - Christian Stråhlman
- Department of Materials Science and Applied Mathematics, Malmö University, S-20506 Malmö, Sweden
- MAX IV Laboratory, Lund University, P.O. Box 118, S-22100 Lund, Sweden
| | - Rami Sankari
- MAX IV Laboratory, Lund University, P.O. Box 118, S-22100 Lund, Sweden
- Department of Physics, Tampere University of Technology, P.O. Box 692, FIN-33101 Tampere, Finland
| | - Leena Partanen
- Department of Physics, Tampere University of Technology, P.O. Box 692, FIN-33101 Tampere, Finland
- Department of Physics, University of Oulu, P.O. Box 3000, FIN-90014 Oulu, Finland
| | - Joakim Laksman
- Department of Physics, Lund University, P.O. Box 118, S-22100 Lund, Sweden
- MAX IV Laboratory, Lund University, P.O. Box 118, S-22100 Lund, Sweden
| | - J. Antti Kettunen
- Department of Physics, University of Oulu, P.O. Box 3000, FIN-90014 Oulu, Finland
| | - Ignacio Fdez. Galván
- Department of Chemistry – BMC, Uppsala University, P.O. Box 576, S-75123 Uppsala, Sweden
| | - Roland Lindh
- Department of Chemistry – BMC, Uppsala University, P.O. Box 576, S-75123 Uppsala, Sweden
| | - Per-Åke Malmqvist
- Department of Theoretical Chemistry, Lund University, Chemical Center, P.O. Box 124, S-22100 Lund, Sweden
| | - Stacey L. Sorensen
- Department of Physics, Lund University, P.O. Box 118, S-22100 Lund, Sweden
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Segatta F, Nenov A, Orlandi S, Arcioni A, Mukamel S, Garavelli M. Exploring the capabilities of optical pump X-ray probe NEXAFS spectroscopy to track photo-induced dynamics mediated by conical intersections. Faraday Discuss 2020; 221:245-264. [DOI: 10.1039/c9fd00073a] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In the present contribution we introduce an accurate theoretical approach for the simulation of NEXAFS spectra of organic molecules, employing azobenzene as a test case.
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Affiliation(s)
- Francesco Segatta
- Dipartimento di Chimica Industriale “Toso Montanari”
- Università degli studi di Bologna
- 40136 Bologna
- Italy
| | - Artur Nenov
- Dipartimento di Chimica Industriale “Toso Montanari”
- Università degli studi di Bologna
- 40136 Bologna
- Italy
| | - Silvia Orlandi
- Dipartimento di Chimica Industriale “Toso Montanari”
- Università degli studi di Bologna
- 40136 Bologna
- Italy
| | - Alberto Arcioni
- Dipartimento di Chimica Industriale “Toso Montanari”
- Università degli studi di Bologna
- 40136 Bologna
- Italy
| | - Shaul Mukamel
- Department of Chemistry and Physics and Astronomy
- University of California
- Irvine
- USA
| | - Marco Garavelli
- Dipartimento di Chimica Industriale “Toso Montanari”
- Università degli studi di Bologna
- 40136 Bologna
- Italy
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15
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Nanda KD, Vidal ML, Faber R, Coriani S, Krylov AI. How to stay out of trouble in RIXS calculations within equation-of-motion coupled-cluster damped response theory? Safe hitchhiking in the excitation manifold by means of core–valence separation. Phys Chem Chem Phys 2020; 22:2629-2641. [DOI: 10.1039/c9cp03688a] [Citation(s) in RCA: 34] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Abstract
We present a novel approach with robust convergence of the response equations for computing resonant inelastic X-ray scattering (RIXS) cross sections within the equation-of-motion coupled-cluster (EOM-CC) framework.
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Affiliation(s)
- Kaushik D. Nanda
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
| | - Marta L. Vidal
- DTU Chemistry – Department of Chemistry
- Technical University of Denmark
- DK-2800
- Denmark
| | - Rasmus Faber
- DTU Chemistry – Department of Chemistry
- Technical University of Denmark
- DK-2800
- Denmark
| | - Sonia Coriani
- DTU Chemistry – Department of Chemistry
- Technical University of Denmark
- DK-2800
- Denmark
| | - Anna I. Krylov
- Department of Chemistry
- University of Southern California
- Los Angeles
- USA
- The Hamburg Centre for Ultrafast Imaging
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16
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Nenov A, Segatta F, Bruner A, Mukamel S, Garavelli M. X-ray linear and non-linear spectroscopy of the ESCA molecule. J Chem Phys 2019; 151:114110. [DOI: 10.1063/1.5116699] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Affiliation(s)
- Artur Nenov
- Dipartimento di Chimica Industriale “Toso Montanari”, Università degli studi di Bologna, Viale del Risorgimento 4,
40136 Bologna, Italy
| | - Francesco Segatta
- Dipartimento di Chimica Industriale “Toso Montanari”, Università degli studi di Bologna, Viale del Risorgimento 4,
40136 Bologna, Italy
| | - Adam Bruner
- Department of Chemistry and Physics and Astronomy, University of California, Irvine, California 92697,
USA
| | - Shaul Mukamel
- Department of Chemistry and Physics and Astronomy, University of California, Irvine, California 92697,
USA
| | - Marco Garavelli
- Dipartimento di Chimica Industriale “Toso Montanari”, Università degli studi di Bologna, Viale del Risorgimento 4,
40136 Bologna, Italy
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17
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Vaz da Cruz V, Ignatova N, Couto RC, Fedotov DA, Rehn DR, Savchenko V, Norman P, Ågren H, Polyutov S, Niskanen J, Eckert S, Jay RM, Fondell M, Schmitt T, Pietzsch A, Föhlisch A, Gel’mukhanov F, Odelius M, Kimberg V. Nuclear dynamics in resonant inelastic X-ray scattering and X-ray absorption of methanol. J Chem Phys 2019; 150:234301. [DOI: 10.1063/1.5092174] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Vinícius Vaz da Cruz
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24-25, 14476 Potsdam, Germany
| | - Nina Ignatova
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Siberian Federal University, 660041 Krasnoyarsk, Russia
- Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
| | - Rafael C. Couto
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
| | - Daniil A. Fedotov
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Siberian Federal University, 660041 Krasnoyarsk, Russia
| | - Dirk R. Rehn
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
| | - Viktoriia Savchenko
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Siberian Federal University, 660041 Krasnoyarsk, Russia
- Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
| | - Hans Ågren
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden
| | - Sergey Polyutov
- Siberian Federal University, 660041 Krasnoyarsk, Russia
- Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
| | - Johannes Niskanen
- Department of Physics and Astronomy, University of Turku, FI-20014 Turun yliopisto, Finland
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
| | - Sebastian Eckert
- Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24-25, 14476 Potsdam, Germany
| | - Raphael M. Jay
- Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24-25, 14476 Potsdam, Germany
| | - Mattis Fondell
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
| | - Thorsten Schmitt
- Photon Science Division, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - Annette Pietzsch
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
| | - Alexander Föhlisch
- Institut für Physik und Astronomie, Universität Potsdam, Karl-Liebknecht-Strasse 24-25, 14476 Potsdam, Germany
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
| | - Faris Gel’mukhanov
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Siberian Federal University, 660041 Krasnoyarsk, Russia
- Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
| | - Michael Odelius
- Department of Physics, Stockholm University, AlbaNova University Center, 10691 Stockholm, Sweden
| | - Victor Kimberg
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Siberian Federal University, 660041 Krasnoyarsk, Russia
- Kirensky Institute of Physics, Federal Research Center KSC SB RAS, 660036 Krasnoyarsk, Russia
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18
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Probing hydrogen bond strength in liquid water by resonant inelastic X-ray scattering. Nat Commun 2019; 10:1013. [PMID: 30833573 PMCID: PMC6399250 DOI: 10.1038/s41467-019-08979-4] [Citation(s) in RCA: 44] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2018] [Accepted: 02/13/2019] [Indexed: 11/09/2022] Open
Abstract
Local probes of the electronic ground state are essential for understanding hydrogen bonding in aqueous environments. When tuned to the dissociative core-excited state at the O1s pre-edge of water, resonant inelastic X-ray scattering back to the electronic ground state exhibits a long vibrational progression due to ultrafast nuclear dynamics. We show how the coherent evolution of the OH bonds around the core-excited oxygen provides access to high vibrational levels in liquid water. The OH bonds stretch into the long-range part of the potential energy curve, which makes the X-ray probe more sensitive than infra-red spectroscopy to the local environment. We exploit this property to effectively probe hydrogen bond strength via the distribution of intramolecular OH potentials derived from measurements. In contrast, the dynamical splitting in the spectral feature of the lowest valence-excited state arises from the short-range part of the OH potential curve and is rather insensitive to hydrogen bonding.
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