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Many-Body and Single-Body Low-Energy Elastic Positron Scattering by Beryllium Atoms: From Ab Initio to Semiempirical Approaches. ATOMS 2023. [DOI: 10.3390/atoms11010008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
Abstract
Positron scattering by beryllium atoms in the low-energy range (≤4.0 eV) was studied within ab initio and semiempirical frameworks. When interpreting the static dipole polarizability and the scattering length as representative quantities of the target and positron–atom correlations, the scattering observables obtained in the ab initio calculation were extrapolated by applying a semiempirical approach. Our results ratify previous ones, since no Ramsauer minimum structures or shape resonances were found in the cross sections. The presence of a (e+,Be) bound state was also identified as a function of the dipole polarizability.
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Omiste JJ, Madsen LB. Effects of core space and excitation levels on ground-state correlation and photoionization dynamics of Be and Ne. J Chem Phys 2019; 150:084305. [DOI: 10.1063/1.5082940] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Juan J. Omiste
- Chemical Physics Theory Group, Department of Chemistry, Center for Quantum Information and Quantum Control, University of Toronto, Toronto, ON M5S 3H6, Canada
| | - Lars Bojer Madsen
- Department of Physics and Astronomy, Aarhus University, 8000 Aarhus C, Denmark
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Nasiri S, Zahedi M. Coupled Cluster and Quantum Monte-Carlo potential energy curves of the ground state of Be 2 and Be 2 + molecules. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2017.04.009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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4
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King FW, Quicker D, Langer J. Compact wave functions for the beryllium isoelectronic series, Li− to Ne6+: A standard Hylleraas approach. J Chem Phys 2011; 134:124114. [PMID: 21456652 DOI: 10.1063/1.3569565] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Affiliation(s)
- Frederick W King
- Department of Chemistry, University of Wisconsin-Eau Claire, Eau Claire, Wisconsin 54702, USA.
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Pachucki K, Komasa J. Relativistic and QED corrections for the beryllium atom. PHYSICAL REVIEW LETTERS 2004; 92:213001. [PMID: 15245276 DOI: 10.1103/physrevlett.92.213001] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2004] [Indexed: 05/24/2023]
Abstract
Complete relativistic and quantum electrodynamics corrections of order alpha(2) Ry and alpha(3) Ry are calculated for the ground state of the beryllium atom and its positive ion. A basis set of correlated Gaussian functions is used, with exponents optimized against nonrelativistic binding energies. The results for Bethe logarithms ln(k(0)(Be)=5.750 34(3) and ln(k(0)(Be+)=5.751 67(3) demonstrate the availability of high precision theoretical predictions for energy levels of the beryllium atom and light ions. Our recommended value of the ionization potential 75 192.514(80) cm(-1) agrees with equally accurate available experimental values.
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Affiliation(s)
- Krzysztof Pachucki
- Institute of Theoretical Physics, Warsaw University, Hoza 69, 00-681 Warsaw, Poland.
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Bukowski R, Jeziorski B, Szalewicz K. Gaussian geminals in explicitly correlated coupled cluster theory including single and double excitations. J Chem Phys 1999. [DOI: 10.1063/1.479109] [Citation(s) in RCA: 62] [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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8
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Gdanitz RJ. Accurately solving the electronic Schrödinger equation of atoms and molecules using explicitly correlated (r12-)MR-CI. II. Ground-state energies of first-row atoms and positive atomic ions. J Chem Phys 1998. [DOI: 10.1063/1.477649] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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9
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Löwdin PO. Some Aspects on the Bloch-Lindgren Equation and A Comparison with the Partitioning Technique. ADVANCES IN QUANTUM CHEMISTRY 1998. [DOI: 10.1016/s0065-3276(08)60520-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Kaldor U, Eliav E. High-Accuracy Calculations for Heavy and Super-Heavy Elements. ADVANCES IN QUANTUM CHEMISTRY 1998. [DOI: 10.1016/s0065-3276(08)60194-x] [Citation(s) in RCA: 73] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
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11
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Second-order multiconfigurational Dirac–Fock self-consistent field and multireference configuration interaction calculations on beryllium and beryllium-like Ne6+. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)01050-6] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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12
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King FW. Progress on high precision calculations for the ground state of atomic lithium. ACTA ACUST UNITED AC 1997. [DOI: 10.1016/s0166-1280(97)90265-7] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Tunega D, Noga J, Klopper W. Basis set limit value for the static dipole polarizability of beryllium. Chem Phys Lett 1997. [DOI: 10.1016/s0009-2614(97)00301-1] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Lindroth E, Mårtensson-Pendrill A. (2p2)1S state of beryllium. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3151-3156. [PMID: 9913256 DOI: 10.1103/physreva.53.3151] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Wu L. Pseudoconfigurational approach in relativistic many-body perturbation-theory calculations. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:139-144. [PMID: 9912868 DOI: 10.1103/physreva.53.139] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Komasa J, Cencek W, Rychlewski J. Explicitly correlated Gaussian functions in variational calculations: The ground state of the beryllium atom. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:4500-4507. [PMID: 9912788 DOI: 10.1103/physreva.52.4500] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Eliav E, Kaldor U, Ishikawa Y. Transition energies of ytterbium, lutetium, and lawrencium by the relativistic coupled-cluster method. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:291-296. [PMID: 9912247 DOI: 10.1103/physreva.52.291] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Noga J, Tunega D, Klopper W, Kutzelnigg W. The performance of the explicitly correlated coupled cluster method. I. The four‐electron systems Be, Li−, and LiH. J Chem Phys 1995. [DOI: 10.1063/1.469643] [Citation(s) in RCA: 65] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Büsse G, Kleindienst H. Double-linked Hylleraas configuration-interaction calculation for the nonrelativistic ground-state energy of the Be atom. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:5019-5020. [PMID: 9912197 DOI: 10.1103/physreva.51.5019] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Malinowski P, Jankowski K. Impact of the choice of model spaces and basis sets on the performance of the valence-universal coupled-cluster method: Energies for Be and C2+. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4583-4596. [PMID: 9912147 DOI: 10.1103/physreva.51.4583] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Mårtensson-Pendrill A, Lindgren I, Lindroth E, Salomonson S, Staudte DS. Convergence of relativistic perturbation theory for the 1s2p states in low-Z heliumlike systems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:3630-3635. [PMID: 9912029 DOI: 10.1103/physreva.51.3630] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindgren I, Persson H, Salomonson S, Labzowsky L. Full QED calculations of two-photon exchange for heliumlike systems: Analysis in the Coulomb and Feynman gauges. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:1167-1195. [PMID: 9911698 DOI: 10.1103/physreva.51.1167] [Citation(s) in RCA: 116] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Eliav E, Kaldor U, Ishikawa Y. Relativistic coupled-cluster method: Intrashell excitations in the f2 shells of Pr+3 and U+4. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:225-230. [PMID: 9911577 DOI: 10.1103/physreva.51.225] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Ishikawa Y, Koc K. Relativistic many-body perturbation theory based on the no-pair Dirac-Coulomb-Breit Hamiltonian: Relativistic correlation energies for the noble-gas sequence through Rn (Z=86), the group-IIB atoms through Hg, and the ions of Ne isoelectronic sequence. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:4733-4742. [PMID: 9911470 DOI: 10.1103/physreva.50.4733] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Koc K, Ishikawa Y, Kagawa T. Relativistic configuration interaction calculations for open-shell atomic systems. Chem Phys Lett 1994. [DOI: 10.1016/0009-2614(94)01289-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Eliav E, Kaldor U, Ishikawa Y. Ionization potentials and excitation energies of the alkali-metal atoms by the relativistic coupled-cluster method. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:1121-1128. [PMID: 9911001 DOI: 10.1103/physreva.50.1121] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E. Calculation of doubly excited states of helium with a finite discrete spectrum. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4473-4480. [PMID: 9910763 DOI: 10.1103/physreva.49.4473] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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(Ilyabaev) EE, Kaldor U, Ishikawa Y. Relativistic coupled cluster method based on Dirac—Coulomb—Breit wavefunctions. Ground state energies of atoms with two to five electrons. Chem Phys Lett 1994. [DOI: 10.1016/0009-2614(94)00317-3] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Datta SN. Relativistic quantum chemistry and rigorous variational analysis. J CHEM SCI 1994. [DOI: 10.1007/bf02840762] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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30
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Eliav E, Kaldor U, Ishikawa Y. Open-shell relativistic coupled-cluster method with Dirac-Fock-Breit wave functions: Energies of the gold atom and its cation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1724-1729. [PMID: 9910422 DOI: 10.1103/physreva.49.1724] [Citation(s) in RCA: 107] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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31
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Chung KT, Zhu X. Energies, fine structures, and isotope shifts of the 1s22snl excited states of the beryllium atom. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:1944-1954. [PMID: 9909811 DOI: 10.1103/physreva.48.1944] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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32
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King FW. Analysis of some integrals arising in the atomic four‐electron problem. J Chem Phys 1993. [DOI: 10.1063/1.466160] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Lindgren I, Persson H, Salomonson S, Ynnerman A. Bound-state self-energy calculation using partial-wave renormalization. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:R4555-R4558. [PMID: 9909561 DOI: 10.1103/physreva.47.r4555] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Jankowski K, Malinowski P. Application of the complete-model-space MR-CCSD theory to the 2s21S and 2p21S states of Be. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)87153-t] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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Chung KT, Zhu X, Wang Z. Ionization potential for ground states of berylliumlike systems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:1740-1751. [PMID: 9909125 DOI: 10.1103/physreva.47.1740] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E, Ynnerman A. Ab initio calculations of gj factors for Li, Be+, and Ba+. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:961-970. [PMID: 9909016 DOI: 10.1103/physreva.47.961] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Ilyabaev E, Kaldor U. The relativistic open shell coupled cluster method: Direct calculation of excitation energies in the Ne atom. J Chem Phys 1992. [DOI: 10.1063/1.463416] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Indelicato P, Lindroth E. Relativistic effects, correlation, and QED corrections on K alpha transitions in medium to very heavy atoms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:2426-2436. [PMID: 9908399 DOI: 10.1103/physreva.46.2426] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lindroth E, Hvarfner J. Relativistic calculation of the 2 (1)S0-2 (1),3P1 transitions in berylliumlike molybdenum and berylliumlike iron. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:2771-2776. [PMID: 9907307 DOI: 10.1103/physreva.45.2771] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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