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Ozon M, Tumashevich K, Lin JJ, Prisle NL. Inversion model for extracting chemically resolved depth profiles across liquid interfaces of various configurations from XPS data: PROPHESY. JOURNAL OF SYNCHROTRON RADIATION 2023; 30:941-961. [PMID: 37610342 PMCID: PMC10481271 DOI: 10.1107/s1600577523006124] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2023] [Accepted: 07/12/2023] [Indexed: 08/24/2023]
Abstract
PROPHESY, a technique for the reconstruction of surface-depth profiles from X-ray photoelectron spectroscopy data, is introduced. The inversion methodology is based on a Bayesian framework and primal-dual convex optimization. The acquisition model is developed for several geometries representing different sample types: plane (bulk sample), cylinder (liquid microjet) and sphere (droplet). The methodology is tested and characterized with respect to simulated data as a proof of concept. Possible limitations of the method due to uncertainty in the attenuation length of the photo-emitted electron are illustrated.
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Affiliation(s)
- Matthew Ozon
- Center for Atmospheric Research, University of Oulu, PO Box 4500, Finland
| | | | - Jack J. Lin
- Center for Atmospheric Research, University of Oulu, PO Box 4500, Finland
| | - Nønne L. Prisle
- Center for Atmospheric Research, University of Oulu, PO Box 4500, Finland
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Ortiz JV. Dyson-orbital concepts for description of electrons in molecules. J Chem Phys 2020; 153:070902. [DOI: 10.1063/5.0016472] [Citation(s) in RCA: 34] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Affiliation(s)
- J. V. Ortiz
- Department of Chemistry and Biochemistry, Auburn University, Auburn, Alabama 36849-5312, USA
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List NH, Melin TRL, van Horn M, Saue T. Beyond the electric-dipole approximation in simulations of x-ray absorption spectroscopy: Lessons from relativistic theory. J Chem Phys 2020; 152:184110. [DOI: 10.1063/5.0003103] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Nanna Holmgaard List
- Department of Chemistry and the PULSE Institute, Stanford University, Stanford, California 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - Timothé Romain Léo Melin
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Martin van Horn
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantique, UMR 5626 CNRS—Université Toulouse III-Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse, France
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Díaz-Tinoco M, Ortiz JV. Dyson Orbitals and Double Rydberg Anions: Methylated, Annulated, and Paramagnetic. J Phys Chem A 2019; 123:10961-10967. [PMID: 31794215 DOI: 10.1021/acs.jpca.9b09888] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A double Rydberg anion (DRA) consists of a saturated, closed-shell, molecular cation and two electrons that occupy diffuse orbitals. Techniques of ab initio electron propagator theory (EPT) predict the existence and spectra of three new classes of DRAs. The first, with the formula NH4-n(CH3)n-, has vertical electron detachment energies (VEDEs) that vary between 0.24 and 0.39 eV and corresponding Dyson orbitals that accumulate near the periphery of N-H bonds. An internal hydrogen bond that forms a ring with five members occurs in the second class. In paramagnetic DRA isomers, electrons are assigned to two, diffuse, triplet-coupled spin-orbitals that localize outside the N-H bonds of a cationic, tetrahedral center or outside bonds on a nearby amide or methyl group. Effects of delocalization, dispersion, and radial correlation between diffuse electrons on VEDEs are described in terms of Dyson orbitals and their pole strengths. These concepts of EPT connect ground-state and spectral properties to each other and provide a rigorous, systematic, and insightful approach to predicting and characterizing novel patterns of chemical bonding and molecular electronic structure.
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Affiliation(s)
- Manuel Díaz-Tinoco
- Department of Chemistry and Biochemistry , Auburn University , Auburn , Alabama 36849-5312 , United States
| | - Joseph Vincent Ortiz
- Department of Chemistry and Biochemistry , Auburn University , Auburn , Alabama 36849-5312 , United States
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Brumboiu IE, Eriksson O, Norman P. Photoelectron Spectroscopy of Molecules Beyond the Electric Dipole Approximation. J Chem Theory Comput 2019; 15:5483-5494. [DOI: 10.1021/acs.jctc.9b00470] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Iulia Emilia Brumboiu
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
- Department of Chemistry, Korea Advanced Institute of Science and Technology, 34141 Daejeon, Korea
| | - Olle Eriksson
- Department of Physics and Astronomy, Uppsala University, 75120 Uppsala, Sweden
- School of Science and Technology, Örebro University, 70182 Örebro, Sweden
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
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Brumboiu IE, Eriksson O, Norman P. Atomic photoionization cross sections beyond the electric dipole approximation. J Chem Phys 2019; 150:044306. [PMID: 30709292 DOI: 10.1063/1.5083649] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A methodology is developed to compute photoionization cross sections beyond the electric dipole approximation from response theory, using Gaussian type orbitals and plane waves for the initial and final states, respectively. The methodology is applied to compute photoionization cross sections of atoms and ions from the first four rows of the periodic table. Analyzing the error due to the plane wave description of the photoelectron, we find kinetic energy and concomitant photon energy thresholds above which the plane wave approximation becomes applicable. The correction introduced by going beyond the electric dipole approximation increases with photon energy and depends on the spatial extension of the initial state. In general, the corrections are below 10% for most elements, at a photon energy reaching up to 12 keV.
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Affiliation(s)
- Iulia Emilia Brumboiu
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
| | - Olle Eriksson
- Department of Physics and Astronomy, Uppsala University, SE-75120 Uppsala, Sweden
| | - Patrick Norman
- Department of Theoretical Chemistry and Biology, KTH Royal Institute of Technology, 10691 Stockholm, Sweden
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Díaz–Tinoco M, Corzo HH, Pawłowski F, Ortiz JV. Do Dyson Orbitals resemble canonical Hartree–Fock orbitals? Mol Phys 2018. [DOI: 10.1080/00268976.2018.1535142] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Manuel Díaz–Tinoco
- Department of Chemistry and Biochemistry, Auburn University, Auburn, AL, USA
| | - Héctor H. Corzo
- Department of Chemistry and Biochemistry, Auburn University, Auburn, AL, USA
| | - Filip Pawłowski
- Department of Chemistry and Biochemistry, Auburn University, Auburn, AL, USA
| | - J. V. Ortiz
- Department of Chemistry and Biochemistry, Auburn University, Auburn, AL, USA
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List NH, Kauczor J, Saue T, Jensen HJA, Norman P. Beyond the electric-dipole approximation: A formulation and implementation of molecular response theory for the description of absorption of electromagnetic field radiation. J Chem Phys 2016; 142:244111. [PMID: 26133414 DOI: 10.1063/1.4922697] [Citation(s) in RCA: 43] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a formulation of molecular response theory for the description of a quantum mechanical molecular system in the presence of a weak, monochromatic, linearly polarized electromagnetic field without introducing truncated multipolar expansions. The presentation focuses on a description of linear absorption by adopting the energy-loss approach in combination with the complex polarization propagator formulation of response theory. Going beyond the electric-dipole approximation is essential whenever studying electric-dipole-forbidden transitions, and in general, non-dipolar effects become increasingly important when addressing spectroscopies involving higher-energy photons. These two aspects are examined by our study of the near K-edge X-ray absorption fine structure of the alkaline earth metals (Mg, Ca, Sr, Ba, and Ra) as well as the trans-polyenes. In following the series of alkaline earth metals, the sizes of non-dipolar effects are probed with respect to increasing photon energies and a detailed assessment of results is made in terms of studying the pertinent transition electron densities and in particular their spatial extension in comparison with the photon wavelength. Along the series of trans-polyenes, the sizes of non-dipolar effects are probed for X-ray spectroscopies on organic molecules with respect to the spatial extension of the chromophore.
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Affiliation(s)
- Nanna Holmgaard List
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Joanna Kauczor
- Department of Physics, Chemistry and Biology, Linköping University, Linköping SE 58183, Sweden
| | - Trond Saue
- Laboratoire de Chimie et Physique Quantiques, UMR 5626-CNRS/Université Toulouse III (Paul Sabatier), 118 route de Narbonne, F-31062 Toulouse Cedex, France
| | - Hans Jørgen Aagaard Jensen
- Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
| | - Patrick Norman
- Department of Physics, Chemistry and Biology, Linköping University, Linköping SE 58183, Sweden
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Ortiz JV. Electron propagator theory: an approach to prediction and interpretation in quantum chemistry. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2012. [DOI: 10.1002/wcms.1116] [Citation(s) in RCA: 130] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
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Toffoli D, Decleva P. A multicentric approach to the calculation of nondipolar effects in molecular photoemission. J Chem Phys 2008; 128:234101. [DOI: 10.1063/1.2939017] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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