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Das S, Samanta K. Recent Advances in the Study of Negative-Ion Resonances Using Multiconfigurational Propagator and a Complex Absorbing Potential. Chemphyschem 2023; 24:e202200546. [PMID: 36223261 DOI: 10.1002/cphc.202200546] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2022] [Revised: 10/12/2022] [Indexed: 02/03/2023]
Abstract
The transient resonances are a challenge to bound state quantum mechanics. These states lie in the continuum part of the spectrum of the Hamiltonian. For this, one has to treat a continuum problem due to electron-molecule scattering and the many-electron correlation problem simultaneously. Moreover, the description of a resonance requires a wavefunction that bridges the part that resembles a bound state with another that resembles a continuum state such that the continuity of the wavefunction and its first derivative with respect to the distance between the incoming projectile and the target is maintained. A review of the recent advances in the theoretical investigation of the negative-ion resonances (NIR) is presented. The NIRs are ubiquitous in nature. They result from the scattering of electrons off of an atomic or molecular target. They are important for numerous chemical processes in upper atmosphere, space and even biological systems. A contextual background of the existing theoretical methods as well as the newly-developed multiconfigurational propagator tools based on a complex absorbing potential are discussed.
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Affiliation(s)
- Subhasish Das
- School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Kansapada, Argul, 752050, India
| | - Kousik Samanta
- School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Kansapada, Argul, 752050, India
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Das S, Samanta K. Investigation of electron-induced scattering resonances using a multiconfigurational polarization propagator and a complex absorbing potential. Chem Phys 2023. [DOI: 10.1016/j.chemphys.2022.111712] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
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Das S, Samanta K. Investigation of negative-ion resonances using a subspace-projected multiconfigurational electron propagator perturbed with a complex absorbing potential. J Chem Phys 2022; 156:224110. [PMID: 35705417 DOI: 10.1063/5.0089912] [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
The transient negative-ion resonances found in scattering experiments are important intermediates in many chemical processes. These metastable states correspond to the continuum part of the Hamiltonian of the projectile-target composite system. Usual bound-state electronic structure methods are not applicable for these. In this work, we develop a subspace-projection method in connection with an electron propagator (EP) defined in terms of a complete-active-space self-consistent-field initial state. The target Hamiltonian (Ĥ) is perturbed by a complex absorbing potential (CAP) for the analytical continuation of the spectrum of Ĥ to complex eigenvalues associated with the continuum states. The resonance is identified as a pole of the EP, which is stable with respect to variations in the strength of the CAP. The projection into a small subspace reduces the size of the complex matrices to be diagonalized, minimizes the computational cost, and affords some insight into the orbitals that are likely to play some role in the capture of the projectile. Two molecular (Πg2N2 - and 2Π CO-) and an atomic shaperesonance (2P Be-) are investigated using this method. The position and width of the resonances are in good agreement with the previously reported values.
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Affiliation(s)
- Subhasish Das
- School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Argul, Odisha 752050, India
| | - Kousik Samanta
- School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Argul, Odisha 752050, India
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Thodika M, Matsika S. Projected Complex Absorbing Potential Multireference Configuration Interaction Approach for Shape and Feshbach Resonances. J Chem Theory Comput 2022; 18:3377-3390. [PMID: 35622933 DOI: 10.1021/acs.jctc.1c01310] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Anion resonances are formed as metastable intermediates in low-energy electron-induced reactions. Due to the finite lifetimes of resonances, applying standard Hermitian formalism for their characterization presents a vexing problem for computational chemists. Numerous modifications to conventional quantum chemical methods have enabled satisfactory characterization of resonances, but specific issues remain, especially in describing two-particle one-hole (2p-1h) resonances. An accurate description of these resonances and their coupling with single-particle resonances requires a multireference approach. We propose a projected complex absorbing potential (CAP) implementation within the multireference configuration interaction (MRCI) framework to characterize single-particle and 2p-1h resonances. As a first application, we use the projected-CAP-MRCI approach to characterize and benchmark the 2Πg shape resonance in N2-. We test its performance as a function of the size of the subspace and other parameters, and we compute the complex potential energy surface of the 2Πg shape resonance to show that a smooth curve is obtained. One key benefit of MRCI is that it can describe Feshbach resonances (most common examples of 2p-1h resonances) at the same footing as shape resonances. Therefore, it is uniquely positioned to describe mixing between the different channels. To test these additional capabilities, we compute Feshbach resonances in H2O- and anions of dicyanoethylene isomers. We find that CAP-MRCI can efficiently capture the mixing between the Feshbach and shape resonances in dicyanoethylene isomers, which has significant consequences for their lifetimes.
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Affiliation(s)
- Mushir Thodika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, United States
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Sajeev Y, Thodika M, Matsika S. A Unique QP Partitioning and Siegert Width Using Real-Valued Continuum-Remover Potential. J Chem Theory Comput 2022; 18:2863-2874. [DOI: 10.1021/acs.jctc.1c01096] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
Affiliation(s)
- Y. Sajeev
- Theoretical Chemistry Section, Bhabha Atomic Research Centre, Mumbai 400085, India
| | - Mushir Thodika
- Department of Chemistry, Temple University, 1901 N 13th Street, Philadelphia, Pennsylvania 19122, United States
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, 1901 N 13th Street, Philadelphia, Pennsylvania 19122, United States
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Thodika M, Fennimore M, Karsili TNV, Matsika S. Comparative study of methodologies for calculating metastable states of small to medium-sized molecules. J Chem Phys 2019; 151:244104. [DOI: 10.1063/1.5134700] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Affiliation(s)
- Mushir Thodika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Mark Fennimore
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
| | - Tolga N. V. Karsili
- Department of Chemistry, University of Louisiana, Lafayette, Louisiana 70504, USA
| | - Spiridoula Matsika
- Department of Chemistry, Temple University, Philadelphia, Pennsylvania 19122, USA
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Samanta K, Tsogbayar T, Zhang SB, Yeager DL. Electron–Atom and Electron–Molecule Resonances: Some Theoretical Approaches Using Complex Scaled Multiconfigurational Methods. ADVANCES IN QUANTUM CHEMISTRY 2018. [DOI: 10.1016/bs.aiq.2017.06.006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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White AF, Epifanovsky E, McCurdy CW, Head-Gordon M. Second order Møller-Plesset and coupled cluster singles and doubles methods with complex basis functions for resonances in electron-molecule scattering. J Chem Phys 2017. [DOI: 10.1063/1.4986950] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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White AF, Head-Gordon M, McCurdy CW. Stabilizing potentials in bound state analytic continuation methods for electronic resonances in polyatomic molecules. J Chem Phys 2017; 146:044112. [DOI: 10.1063/1.4974761] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alec F. White
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - C. William McCurdy
- Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Chemistry, University of California, Davis, California 95616, USA
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Landau A, Moiseyev N. Molecular resonances by removing complex absorbing potentials via Padé; Application to CO− and N2−. J Chem Phys 2016; 145:164111. [DOI: 10.1063/1.4965887] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Arie Landau
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
| | - Nimrod Moiseyev
- Schulich Faculty of Chemistry, Technion-Israel Institute of Technology, Haifa 32000, Israel
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White AF, McCurdy CW, Head-Gordon M. Restricted and unrestricted non-Hermitian Hartree-Fock: Theory, practical considerations, and applications to metastable molecular anions. J Chem Phys 2015; 143:074103. [DOI: 10.1063/1.4928529] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alec F. White
- Department of Chemistry, Kenneth S. Pitzer Center for Theoretical Chemistry, University of California, Berkeley and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - C. William McCurdy
- Chemical Sciences Division and Ultrafast X-ray Science Laboratory, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Chemistry, University of California, Davis, California 95616, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
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Zuev D, Jagau TC, Bravaya KB, Epifanovsky E, Shao Y, Sundstrom E, Head-Gordon M, Krylov AI. Complex absorbing potentials within EOM-CC family of methods: Theory, implementation, and benchmarks. J Chem Phys 2014; 141:024102. [DOI: 10.1063/1.4885056] [Citation(s) in RCA: 97] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Affiliation(s)
- Dmitry Zuev
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
| | - Thomas-C. Jagau
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
| | - Ksenia B. Bravaya
- Department of Chemistry, Boston University, Boston, Massachusetts 02215-2521, USA
| | - Evgeny Epifanovsky
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
- Department of Chemistry, University of California, Berkeley, California 94720, USA
- Q-Chem, Inc., 6601 Owens Drive, Suite 105 Pleasanton, California 94588, USA
| | - Yihan Shao
- Q-Chem, Inc., 6601 Owens Drive, Suite 105 Pleasanton, California 94588, USA
| | - Eric Sundstrom
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley, California 94720, USA
| | - Anna I. Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, USA
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Ghosh A, Karne A, Pal S, Vaval N. CAP/EOM-CCSD method for the study of potential curves of resonant states. Phys Chem Chem Phys 2013; 15:17915-21. [DOI: 10.1039/c3cp52552j] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
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15
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Zhou Y, Ernzerhof M. Calculating the Lifetimes of Metastable States with Complex Density Functional Theory. J Phys Chem Lett 2012; 3:1916-1920. [PMID: 26292013 DOI: 10.1021/jz3006805] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Among other applications, complex absorbing potentials (CAPs) have proven to be useful tools in the theory of metastable states. They facilitate the conversion of unbound states of a finite lifetime into normalized bound states with a complex energy. Adding CAPs to a conventional Hamiltonian turns it into a non-Hermitian operator. Recently, we introduced a complex density functional theory (CODFT) that extends the Kohn-Sham method to the realm of non-Hermitian systems. Here, we combine CAPs with CODFT and present the first application of CODFT to metastable systems. In particular, we consider the negative ions of the beryllium atom and the nitrogen molecule. Using conventional exchange-correlation functionals as functionals of a complex density, the resonance positions and the resonance lifetimes are obtained, and they are in line with the findings of other studies.
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Affiliation(s)
- Yongxi Zhou
- Département de Chimie, Université de Montréal, C.P. 6128 Succursale A, Montréal, Québec H3C 3J7, Canada
| | - Matthias Ernzerhof
- Département de Chimie, Université de Montréal, C.P. 6128 Succursale A, Montréal, Québec H3C 3J7, Canada
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Ghosh A, Vaval N, Pal S. Equation-of-motion coupled-cluster method for the study of shape resonance. J Chem Phys 2012; 136:234110. [DOI: 10.1063/1.4729464] [Citation(s) in RCA: 48] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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MISHRA MANOJK, MEDIKERI MILANN, VENKATNATHAN ARUN, MAHALAKSHMI S. Characterization of shape and Auger resonances using the dilated one electron propagator method. Mol Phys 2010. [DOI: 10.1080/002689798168411] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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18
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Elastic scattering of low-energy electrons by N2 including the effect of target electronic correlation. Chem Phys 2006. [DOI: 10.1016/j.chemphys.2005.07.017] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Sajeev Y, Santra R, Pal S. Correlated complex independent particle potential for calculating electronic resonances. J Chem Phys 2005; 123:204110. [PMID: 16351243 DOI: 10.1063/1.2130338] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have formulated and applied an analytic continuation method for the recently formulated correlated independent particle potential [A. Beste and R. J. Bartlett J. Chem. Phys. 120, 8395 (2004)] derived from Fock space multireference coupled cluster theory. The technique developed is an advanced ab initio tool for calculating the properties of resonances in the low-energy electron-molecule collision problem. The proposed method quantitatively describes elastic electron-molecule scattering below the first electronically inelastic threshold. A complex absorbing potential is utilized to define the analytic continuation for the potential. A separate treatment of electron correlation and relaxation effects for the projectile-target system and the analytic continuation using the complex absorbing potential is possible, when an approximated form of the correlated complex independent particle potential is used. The method, which is referred to as complex absorbing potential-based correlated independent particle (CAP-CIP), is tested by application to the well-known (2)Pi(g) shape resonance of e-N(2) and the (2)B(2g) shape resonance of e-C(2)H(4) (ethylene) with highly satisfactory results.
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Affiliation(s)
- Y Sajeev
- Theory Group, Physical Chemistry Division, National Chemical Laboratory, Pune 411 008, India
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Sajeev Y, Santra R, Pal S. Analytically continued Fock space multireference coupled-cluster theory: Application to the Πg2 shape resonance in e-N2 scattering. J Chem Phys 2005; 122:234320. [PMID: 16008454 DOI: 10.1063/1.1938887] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The technique of Fock space multireference coupled-cluster (FSMRCC) is applied for the first time to the correlated calculation of the energy and width of a shape resonance in an electron-molecule collision. The procedure is based upon combining a complex absorbing potential with FSMRCC theory. Accurate resonance parameters are obtained by solving a small non-Hermitian eigenvalue problem. The potential-energy curve of the (2)Pi(g) state of N2- is calculated using the FSMRCC and multireference configuration-interaction (MRCI) level of theories. Comparison with the single-determinant Hartree-Fock theory indicates that correlation effects are important in determining the behavior of the resonance state.
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Affiliation(s)
- Y Sajeev
- Theory Group, Physical Chemistry Division, National Chemical Laboratory, Pune 411 008, India
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Feuerbacher S, Sommerfeld T, Santra R, Cederbaum LS. Complex absorbing potentials in the framework of electron propagator theory. II. Application to temporary anions. J Chem Phys 2003. [DOI: 10.1063/1.1557452] [Citation(s) in RCA: 86] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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22
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Mahalakshmi S, Venkatnathan A, Mishra MK. Application of higher order decouplings of the dilated electron propagator to 2Π CO−, 2Πg N2− and 2Πg C2H2− shape resonances. J Chem Phys 2001. [DOI: 10.1063/1.1394754] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Vaval N, Pal S. Study of constant term for electron–molecule scattering: F2, H2CO and H2O target examples. Chem Phys Lett 2001. [DOI: 10.1016/s0009-2614(01)00894-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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24
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Brand J, Cederbaum LS. Theory of extended two-particle Green's functions. ADVANCES IN QUANTUM CHEMISTRY 2000. [DOI: 10.1016/s0065-3276(00)38003-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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25
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Pal S, Sabane SC. Correlated static‐exchange interaction for electron–molecule scattering: Case study for LiH and H 2. J Chem Phys 1996. [DOI: 10.1063/1.471739] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Mishra MK, Medikeri MN. Characterization of Shape and Auger Resonances Using the Dilated One Electron Propagator Method. ADVANCES IN QUANTUM CHEMISTRY 1996. [DOI: 10.1016/s0065-3276(08)60253-1] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
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27
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Lowest unoccupied molecular orbital as the resonant orbital. An investigation using the bi-variational self-consistent field method. Chem Phys Lett 1995. [DOI: 10.1016/0009-2614(95)01069-l] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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28
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Deleuze M, Scheller MK, Cederbaum LS. On the size‐dependence of the static self‐energy in propagator calculations. J Chem Phys 1995. [DOI: 10.1063/1.470241] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Sun W, Morrison MA, Isaacs WA, Trail WK, Alle DT, Gulley RJ, Brennan MJ, Buckman SJ. Detailed theoretical and experimental analysis of low-energy electron-N2 scattering. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:1229-1256. [PMID: 9912363 DOI: 10.1103/physreva.52.1229] [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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Kutz H, Meyer HD. Rotational excitation of N2 and Cl2 molecules by electron impact in the energy range 0.01-1000 eV: Investigation of excitation mechanisms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:3819-3830. [PMID: 9912053 DOI: 10.1103/physreva.51.3819] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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31
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Gianturco FA. Positron scattering from krypton and xenon. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:4819-4826. [PMID: 9911479 DOI: 10.1103/physreva.50.4819] [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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32
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Medikeri MN, Mishra MK. Treatment of Be+ (1
s
− 1)2S Auger resonance with different decouplings of the dilated electron propagator. J CHEM SCI 1994. [DOI: 10.1007/bf02840735] [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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33
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Ghose KB, Pal S. Influence of bond length variation on correlated static exchange potential: A case study in e−–N2 scattering. J Chem Phys 1994. [DOI: 10.1063/1.466260] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Morrison MA, Trail WK. Importance of bound-free correlation effects for vibrational excitation of molecules by electron impact: A sensitivity analysis. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:2874-2886. [PMID: 9909936 DOI: 10.1103/physreva.48.2874] [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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35
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Quasiparticle approximation to the dilated electron propagator with application to 2P shape resonances in e—Be and e—Ca scattering. Chem Phys Lett 1993. [DOI: 10.1016/0009-2614(93)80151-e] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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36
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Ghose KB, Pal S, Meyer H. Correlated static–exchange interaction calculation for e−+N2 scattering using the coupled cluster techniquea). J Chem Phys 1993. [DOI: 10.1063/1.465359] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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37
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Meyer H, Pal S, Riss UV. Inclusion of electron correlation for the target wave function in low-energy e-+N2 scattering. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 46:186-193. [PMID: 9907847 DOI: 10.1103/physreva.46.186] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Tarantelli A, Cederbaum LS. Configuration-interaction formulation of the Dyson equation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:2790-2806. [PMID: 9907310 DOI: 10.1103/physreva.45.2790] [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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Brouder C, Hikam M. Multiple-scattering theory of magnetic x-ray circular dichroism. PHYSICAL REVIEW. B, CONDENSED MATTER 1991; 43:3809-3820. [PMID: 9997724 DOI: 10.1103/physrevb.43.3809] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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40
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Müller M, Cederbaum LS. Many-body theory of composite electronic-positronic systems. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 42:170-183. [PMID: 9903790 DOI: 10.1103/physreva.42.170] [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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