1
|
Ferté A, Giner E, Taïeb R, Carniato S. Unraveling the variational breakdown of core valence separation calculations: Diagnostic and cure to the over relaxation error of double core hole states. J Chem Phys 2023; 159:144104. [PMID: 37811825 DOI: 10.1063/5.0159493] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2023] [Accepted: 09/21/2023] [Indexed: 10/10/2023] Open
Abstract
The core valence separation (CVS) approximation is the most employed strategy to prevent the variational collapse of standard wave function optimization when attempting to compute electronic states bearing one or more electronic vacancies in core orbitals. Here, we explore the spurious consequences of this approximation on the properties of the computed core hole states. We especially focus on the less studied case of double core hole (DCH) states, whose spectroscopic interest has recently been rapidly growing. We show that the CVS error leads to a systematic underestimation of DCH energies, a property in stark contrast with the case of single core hole states. We highlight that the CVS error can then be interpreted as an over relaxation effect and design a new correction strategy adapted to these specificities.
Collapse
Affiliation(s)
- Anthony Ferté
- Laboratoire de Chimie Physique-Matière et Rayonnement, Sorbonne Université and CNRS, F-75005 Paris, France
- Laboratoire de Chimie et Interdisciplinarité, Synthèse, Analyse, Modélisation, Nantes Université and CNRS, F-44000 Nantes, France
| | - Emmanuel Giner
- Laboratoire de Chimie Théorique, Sorbonne Université and CNRS, F-75005 Paris, France
| | - Richard Taïeb
- Laboratoire de Chimie Physique-Matière et Rayonnement, Sorbonne Université and CNRS, F-75005 Paris, France
| | - Stéphane Carniato
- Laboratoire de Chimie Physique-Matière et Rayonnement, Sorbonne Université and CNRS, F-75005 Paris, France
| |
Collapse
|
2
|
Fouda AEA, Koulentianos D, Young L, Doumy G, Ho PJ. Resonant double-core excitations with ultrafast, intense X-ray pulses. Mol Phys 2022. [DOI: 10.1080/00268976.2022.2133749] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Affiliation(s)
- Adam E. A. Fouda
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, IL, USA
| | - Dimitris Koulentianos
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, IL, USA
| | - Linda Young
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, IL, USA
- Department of Physics and James Franck Institute, The University of Chicago, Chicago, IL, USA
| | - Gilles Doumy
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, IL, USA
| | - Phay J. Ho
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, IL, USA
| |
Collapse
|
3
|
Koulentianos D, Carravetta V, Couto RC, Andersson J, Hult Roos A, Squibb RJ, Wallner M, Eland JHD, Simon M, Ågren H, Feifel R. Formation and relaxation of K −2 and K −2V double-core-hole states in n-butane. J Chem Phys 2022; 157:044306. [DOI: 10.1063/1.5135388] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Using a magnetic bottle multi-electron time-of-flight spectrometer in combination with synchrotron radiation, double-core-hole pre-edge and continuum states involving the K-shell of the carbon atoms in n-butane ( n-C4H10) have been identified, where the ejected core electron(s) and the emitted Auger electrons from the decay of such states have been detected in coincidence. An assignment of the main observed spectral features is based on the results of multi-configurational self-consistent field (MCSCF) calculations for the excitation energies and static exchange (STEX) calculations for energies and intensities. MCSCF results have been analyzed in terms of static and dynamic electron relaxation as well as electron correlation contributions to double-core-hole state ionization potentials. The analysis of applicability of the STEX method, which implements the one-particle picture toward the complete basis set limit, is motivated by the fact that it scales well toward large species. We find that combining the MCSCF and STEX techniques is a viable approach to analyze double-core-hole spectra.
Collapse
Affiliation(s)
- D. Koulentianos
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
- Laboratoire de Chimie Physique-Matière et Rayonnement, CNRS, Sorbonne Université, Cedex 05, F-75005 Paris, France
| | - V. Carravetta
- Institute of Chemical Physical Processes - CNR, via Moruzzi 1, 56124 Pisa, Italy
| | - R. C. Couto
- Department of Chemistry-Ångström, Uppsala University, Box 538, SE-751 21 Uppsala, Sweden
| | - J. Andersson
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
| | - A. Hult Roos
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
| | - R. J. Squibb
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
| | - M. Wallner
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
| | - J. H. D. Eland
- Physical and Theoretical Chemistry Laboratory, Department of Chemistry, Oxford University, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - M. Simon
- Laboratoire de Chimie Physique-Matière et Rayonnement, CNRS, Sorbonne Université, Cedex 05, F-75005 Paris, France
| | - H. Ågren
- Department of Physics and Astronomy, Uppsala University, Box 516, SE-751 20 Uppsala, Sweden
- College of Chemistry and Chemical Engineering, Henan University, Kaifeng, Henan 475004, People’s Republic of China
| | - R. Feifel
- Department of Physics, University of Gothenburg, Origovägen 6B, SE-412 96 Gothenburg, Sweden
| |
Collapse
|
4
|
Mosaferi M, Selles P, Miteva T, Ferté A, Carniato S. Interpretation of Shakeup Mechanisms in Copper L-Shell Photoelectron Spectra. J Phys Chem A 2022; 126:4902-4914. [PMID: 35861575 DOI: 10.1021/acs.jpca.2c01870] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We report on an original full ab initio quantum molecular approach designed to simulate Cu 2p X-ray photoelectron spectra. The description includes electronic relaxation/correlation and spin-orbit coupling effects and is implemented within nonorthogonal sets of molecular orbitals for the initial and final states. The underlying mechanism structuring the Cu 2p photoelectron spectra is clarified thanks to a correlation diagram applied to the CuO4C6H6 paradigm. This diagram illustrates how the energy drop of the Cu 3d levels following the creation of the Cu 2p core hole switches the nature of the highest singly occupied molecular orbital (H-SOMO) from dominant metal to dominant ligand character. It also reveals how the repositioning of the Cu 3d levels induces the formation of new bonding and antibonding orbitals from which shakeup mechanisms toward the relaxed H-SOMO operate. The specific nature, ligand → ligand and metal → ligand, of these excitations building the satellite lines is exposed. Our approach finally applied to the real Cu(acac)2 system clearly demonstrates how a definite interpretation of the XPS spectra can be obtained when a correct evaluation of binding energies, intensities, and relative widths of the spectral lines is achieved.
Collapse
Affiliation(s)
- M Mosaferi
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, CNRS, Sorbonne Université, 75005 Paris, France
| | - P Selles
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, CNRS, Sorbonne Université, 75005 Paris, France
| | - T Miteva
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, CNRS, Sorbonne Université, 75005 Paris, France
| | - A Ferté
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, CNRS, Sorbonne Université, 75005 Paris, France
| | - S Carniato
- Laboratoire de Chimie Physique-Matière et Rayonnement (LCPMR), UMR 7614, CNRS, Sorbonne Université, 75005 Paris, France
| |
Collapse
|
5
|
Ferté A, Penent F, Palaudoux J, Iwayama H, Shigemasa E, Hikosaka Y, Soejima K, Lablanquie P, Taïeb R, Carniato S. Specific chemical bond relaxation unraveled by analysis of shake-up satellites in the oxygen single site double core hole spectrum of CO 2. Phys Chem Chem Phys 2021; 24:1131-1146. [PMID: 34928271 DOI: 10.1039/d1cp03947d] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We recently developed [A. Ferté, et al., J. Phys. Chem. Lett., 2020, 11, 4359] a method to compute single site double core hole (ssDCH or K-2) spectra. We refer to that method as NOTA+CIPSI. In the present paper this method is applied to the O K-2 spectrum of the CO2 molecule, and we use this as an example to discuss in detail its convergence properties. Using this approach, theoretical spectra in excellent agreement with the experimental one are obtained. Thanks to a thorough interpretation of the shake-up states responsible for the main satellite peaks and through comparison with the O K-2 spectrum of CO, we can highlight the clear signature of the two non-equivalent carbon oxygen bonds in the oxygen ssDCH CO2 dication.
Collapse
Affiliation(s)
- Anthony Ferté
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| | - Francis Penent
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| | - Jérôme Palaudoux
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| | - Hiroshi Iwayama
- UVSOR Facility, Institute for Molecular Science, Okazaki 444-8585, Japan
| | - Eiji Shigemasa
- UVSOR Facility, Institute for Molecular Science, Okazaki 444-8585, Japan
| | - Yasumasa Hikosaka
- Institute of Liberal Arts and Sciences, University of Toyama, Toyama 930-0194, Japan
| | - Kouichi Soejima
- Department of Environmental Science, Niigata University, Niigata 950-2181, Japan
| | - Pascal Lablanquie
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| | - Richard Taïeb
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| | - Stéphane Carniato
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), F-75005 Paris, France.
| |
Collapse
|
6
|
Koulentianos D, Carniato S, Püttner R, Martins JB, Travnikova O, Marchenko T, Journel L, Guillemin R, Ismail I, Céolin D, Piancastelli MN, Feifel R, Simon M. The O K -2V spectrum of CO: the influence of the second core-hole. Phys Chem Chem Phys 2021; 23:10780-10790. [PMID: 33908498 DOI: 10.1039/d1cp00607j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Using synchrotron radiation in the tender X-ray regime, a photoelectron spectrum showing the formation of single site double-core-hole pre-edge states, involving the K shell of the O atom in CO, has been recorded by means of high-resolution electron spectroscopy. The experimentally observed structures have been simulated, interpreted and assigned, employing state-of-the-art ab initio quantum chemical calculations, on the basis of a theoretical model, accounting for their so-called direct or conjugate character. Features appearing above the double ionization threshold have been reproduced by taking into account the strong mixing between multi-excited and continuum states. The shift of the σ* resonance below the double ionization threshold, in combination with the non-negligible contributions of multi-excited configurations in the final states reached, gives rise to a series of avoided crossings between the different potential energy curves.
Collapse
Affiliation(s)
- D Koulentianos
- Sorbonne Université, CNRS, Laboratoire de Chimie Physique-Matière et Rayonnement, F-75005 Paris Cedex 05, France
| | | | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
7
|
Ferté A, Palaudoux J, Penent F, Iwayama H, Shigemasa E, Hikosaka Y, Soejima K, Ito K, Lablanquie P, Taïeb R, Carniato S. Advanced Computation Method for Double Core Hole Spectra: Insight into the Nature of Intense Shake-up Satellites. J Phys Chem Lett 2020; 11:4359-4366. [PMID: 32392416 DOI: 10.1021/acs.jpclett.0c01167] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Double core hole spectroscopy is an ideal framework for investigating photoionization shake-up satellites. Their important intensity in a single site double core hole (ssDCH) spectrum allows the exploration of the subtle mix of relaxation and correlation effects associated with the inherent multielectronic character of the shake-up process. We present a high-accuracy computation method for single photon double core-shell photoelectron spectra that combines a selected configuration interaction procedure with the use of non-orthogonal molecular orbitals to obtain unbiased binding energy and intensity. This strategy leads to the oxygen ssDCH spectrum of the CO molecule that is in excellent agreement with the experimental result. Through a combined wave function and density analysis, we highlight that the most intense shake-up satellites are characterized by an electronic reorganization that opposes the core hole-induced relaxation.
Collapse
Affiliation(s)
- Anthony Ferté
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Jérôme Palaudoux
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Francis Penent
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Hiroshi Iwayama
- UVSOR Facility, Institute for Molecular Science, Okazaki 444-8585, Japan
| | - Eiji Shigemasa
- UVSOR Facility, Institute for Molecular Science, Okazaki 444-8585, Japan
| | - Yasumasa Hikosaka
- Institute of Liberal Arts and Sciences, University of Toyama, Toyama 930-0194, Japan
| | - Kouichi Soejima
- Photon Factory, Institute of Materials Structure Science, Tsukuba 305-0801, Japan
| | - Kenji Ito
- Department of Environmental Science, Niigata University, Niigata 950-2181, Japan
| | - Pascal Lablanquie
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Richard Taïeb
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| | - Stéphane Carniato
- Laboratoire de Chimie Physique Matière et Rayonnement (LCPMR), Sorbonne Université and CNRS, F-75005 Paris, France
| |
Collapse
|
8
|
Zheng X, Liu J, Doumy G, Young L, Cheng L. Hetero-site Double Core Ionization Energies with Sub-electronvolt Accuracy from Delta-Coupled-Cluster Calculations. J Phys Chem A 2020; 124:4413-4426. [DOI: 10.1021/acs.jpca.0c00901] [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)
- Xuechen Zheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, United States
| | - Junzi Liu
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, United States
| | - Gilles Doumy
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, Illinois 60439, United States
| | - Linda Young
- Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, Illinois 60439, United States
| | - Lan Cheng
- Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland 21218, United States
| |
Collapse
|