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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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Experimental investigation of nondipole effects in photoemission at the advanced light source. Radiat Phys Chem Oxf Engl 1993 2006. [DOI: 10.1016/j.radphyschem.2006.08.003] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Hemmers O, Guillemin R, Rolles D, Wolska A, Lindle DW, Kanter EP, Krässig B, Southworth SH, Wehlitz R, Zimmermann B, McKoy V, Langhoff PW. Low-energy nondipole effects in molecular nitrogen valence-shell photoionization. PHYSICAL REVIEW LETTERS 2006; 97:103006. [PMID: 17025814 DOI: 10.1103/physrevlett.97.103006] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2006] [Indexed: 05/12/2023]
Abstract
Observations are reported for the first time of significant nondipole effects in the photoionization of the outer-valence orbitals of diatomic molecules. Measured nondipole angular-distribution parameters for the 3sigma(g), 1pi(u), and 2sigma(u) shells of N2 exhibit spectral variations with incident photon energies from thresholds to approximately 200 eV which are attributed via concomitant calculations to particular final-state symmetry waves arising from (E1)multiply sign in circle(M1,E2) radiation-matter interactions first-order in photon momentum. Comparisons with previously reported K-edge studies in N2 verify linear scaling with photon momentum, accounting in part for the significantly enhanced nondipole behavior observed in inner-shell ionization at correspondingly higher momentum values in this molecule.
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Affiliation(s)
- O Hemmers
- Department of Chemistry, University of Nevada, Las Vegas, Nevada 89154-4003, USA
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Seabra GM, Kaplan IG, Ortiz JV. Molecular photoionization cross sections in electron propagator theory: Angular distributions beyond the dipole approximation. J Chem Phys 2005; 123:114105. [PMID: 16392549 DOI: 10.1063/1.2043087] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Corrections to dipole approximation results for angular distributions in photoionization of first-row hydrides have determined by using Dyson orbitals calculated with ab initio electron propagator theory and by considering the full multipole expansion for the incident photon representation. The relative importance of first-order corrections which consist of electric quadrupole and magnetic dipole terms and of higher-order terms has been estimated as a function of photon energy. Multipole corrections to the dipole approximation depend on photon energy and on the characteristics of the Dyson orbitals.
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Affiliation(s)
- G M Seabra
- Department of Chemistry, Kansas State University, Manhattan 66506-3701, USA
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Guillemin R, Hemmers O, Lindle DW, Manson ST. Experimental investigation of nondipole effects in photoemission at the advanced light source. Radiat Phys Chem Oxf Engl 1993 2005. [DOI: 10.1016/j.radphyschem.2005.03.004] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Hemmers O, Guillemin R, Rolles D, Wolska A, Lindle DW, Cheng KT, Johnson WR, Zhou HL, Manson ST. Nondipole effects in the photoionization of xe 4d5/2 and 4d3/2: evidence for quadrupole satellites. PHYSICAL REVIEW LETTERS 2004; 93:113001. [PMID: 15447334 DOI: 10.1103/physrevlett.93.113001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/2003] [Indexed: 05/24/2023]
Abstract
Measurements of nondipole parameters in spin-orbit-resolved Xe 4d photoionization demonstrate dynamical differences arising from relativistic effects. The experimental data do not agree with relativistic random-phase approximation calculations of single ionization dipole and quadrupole channels. It is suggested that the discrepancy is due to the omission of multiple-excitation quadrupole channels, i.e., quadrupole satellite transitions.
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Affiliation(s)
- O Hemmers
- Department of Chemistry, University of Nevada, Las Vegas, Nevada 89154-4003, USA
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Hemmers O, Guillemin R, Kanter EP, Krässig B, Lindle DW, Southworth SH, Wehlitz R, Baker J, Hudson A, Lotrakul M, Rolles D, Stolte WC, Tran IC, Wolska A, Yu SW, Amusia MY, Cheng KT, Chernysheva LV, Johnson WR, Manson ST. Dramatic nondipole effects in low-energy photoionization: experimental and theoretical study of Xe 5s. PHYSICAL REVIEW LETTERS 2003; 91:053002. [PMID: 12906593 DOI: 10.1103/physrevlett.91.053002] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/20/2003] [Indexed: 05/24/2023]
Abstract
The Xe 5s nondipole photoelectron parameter gamma is obtained experimentally and theoretically from threshold to approximately 200 eV photon energy. Significant nondipole effects are seen even in the threshold region of this valence shell photoionization. In addition, contrary to previous understanding, clear evidence of interchannel coupling among quadrupole photoionization channels is found.
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Affiliation(s)
- O Hemmers
- Department of Chemistry, University of Nevada, Las Vegas, Nevada 89154-4003, USA
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Krässig B, Kanter EP, Southworth SH, Guillemin R, Hemmers O, Lindle DW, Wehlitz R, Martin NLS. Photoexcitation of a dipole-forbidden resonance in helium. PHYSICAL REVIEW LETTERS 2002; 88:203002. [PMID: 12005562 DOI: 10.1103/physrevlett.88.203002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/13/2001] [Indexed: 05/23/2023]
Abstract
We have observed photoexcitation of the dipole-forbidden 1s(2) 1S0-->2p(2) 1D2 resonance in helium by measuring the nondipolar forward-backward asymmetry of photoelectron angular distributions in the 2l2l(') autoionizing region. By exploiting the electric dipole-quadrupole interference in the excitation of both the 2s2p 1P1 and 2p(2) 1D2 levels, we have observed the quadrupole resonance in photoabsorption and extracted its Fano line shape parameters and the relative phase of the 1sEp and 1sEd continua. We find the quadrupole line profile index q(2) to be markedly different from theoretical expectations.
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Affiliation(s)
- B Krässig
- Argonne National Laboratory, Argonne, Illinois 60439, USA
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Feagin JM. Circular dichroism in photo-single-ionization of unoriented atoms. PHYSICAL REVIEW LETTERS 2002; 88:043001. [PMID: 11801118 DOI: 10.1103/physrevlett.88.043001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/20/2001] [Indexed: 05/23/2023]
Abstract
We predict circular dichroism in photo-single-ionization angular distributions from spherically symmetric atomic states if the ionized electron is detected using two-slit interferometry. We demonstrate that the resulting electron interference pattern captures phase information on quadrupole corrections to the photoionization amplitude lost in conventional angular distributions.
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Affiliation(s)
- James M Feagin
- Department of Physics, California State University-Fullerton, Fullerton, California 92834, USA.
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Hemmers O, Wang H, Focke P, Sellin IA, Lindle DW, Arce JC, Sheehy JA, Langhoff PW. Large nondipole effects in the angular distributions of K-shell photoelectrons from molecular nitrogen. PHYSICAL REVIEW LETTERS 2001; 87:273003. [PMID: 11800877 DOI: 10.1103/physrevlett.87.273003] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2001] [Revised: 10/25/2001] [Indexed: 05/23/2023]
Abstract
Measurements of angular distributions of K-shell electrons photoejected from molecular nitrogen are reported which reveal large deviations at relatively low photon energies (Planck's omega < or = 500 eV) from emission patterns anticipated from the dipole approximation to interactions between radiation and matter. A concomitant theoretical analysis incorporating the effects of electromagnetic retardation attributes the observed large nondipole behaviors in N2 to bond-length-dependent terms in the E1 [multiply sign in circle] (E2,M1) photoelectron emission amplitudes which are indicative of a potentially universal nondipole behavior in molecular photoionization.
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Affiliation(s)
- O Hemmers
- Department of Chemistry, University of Nevada, Las Vegas, Nevada 89154-4003, USA
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Arce J, Sheehy J, Langhoff P, Hemmers O, Wang H, Focke P, Sellin I, Lindle D. On the angular distributions of molecular photoelectrons: dipole cross-sections for fixed-in-space and randomly oriented molecules. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00920-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Jackson GJ, Cowie BC, Woodruff DP, Jones RG, Kariapper MS, Fisher C, Chan AS, Butterfield M. Atomic quadrupolar photoemission asymmetry parameters from a solid state measurement. PHYSICAL REVIEW LETTERS 2000; 84:2346-2349. [PMID: 11018881 DOI: 10.1103/physrevlett.84.2346] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/1999] [Indexed: 05/23/2023]
Abstract
A method for measuring the asymmetry parameter gamma arising from dipole-quadrupole interference in core-level photoemission is proposed which is based on condensed thin films and exploits the influence of this asymmetry in photoemission monitoring of x-ray standing wave field absorption. The high density of material in this method offers some advantages over a conventional gas-phase measurement. Results are presented for C, O, and F 1s photoemission at photon energies around 3 keV. The combined nondipole asymmetry factor (delta+gamma/3) for non- s-states can be determined in a similar way.
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Affiliation(s)
- GJ Jackson
- Physics Department, University of Warwick, Coventry CV4 7AL, United Kingdom
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Derevianko A, Hemmers O, Oblad S, Glans P, Wang H, Whitfield SB, Wehlitz R, Sellin IA, Johnson WR, Lindle DW. Electric-octupole and pure-electric-quadrupole effects in soft-X-Ray photoemission. PHYSICAL REVIEW LETTERS 2000; 84:2116-2119. [PMID: 11017222 DOI: 10.1103/physrevlett.84.2116] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/11/1999] [Indexed: 05/23/2023]
Abstract
Second-order [ O(k(2)), k = omega/c] nondipole effects in soft-x-ray photoemission are demonstrated via an experimental and a theoretical study of angular distributions of neon valence photoelectrons in the 100-1200 eV photon-energy range. A newly derived theoretical expression for nondipolar angular distributions characterizes the second-order effects using four new parameters with primary contributions from pure-quadrupole and octupole-dipole interference terms. Independent-particle calculations of these parameters account for a significant portion of the existing discrepancy between experiment and theory for Ne 2p first-order nondipole parameters.
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Affiliation(s)
- A Derevianko
- Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USA
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