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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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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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Kuznetsova AA, Glushkov AV, Ignatenko AV, Svinarenko AA, Ternovsky VB. Spectroscopy of Multielectron Atomic Systems in a DC Electric Field. QUANTUM SYSTEMS IN PHYSICS, CHEMISTRY AND BIOLOGY - THEORY, INTERPRETATION, AND RESULTS 2019. [DOI: 10.1016/bs.aiq.2018.06.005] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
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Glushkov AV. Multiphoton Spectroscopy of Atoms and Nuclei in a Laser Field. ADVANCES IN QUANTUM CHEMISTRY 2019. [DOI: 10.1016/bs.aiq.2018.06.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Kunitsa AA, Granovsky AA, Bravaya KB. CAP-XMCQDPT2 method for molecular electronic resonances. J Chem Phys 2017. [DOI: 10.1063/1.4982950] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | | | - Ksenia B. Bravaya
- Department of Chemistry, Boston University, Boston, Massachusetts 02215, USA
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Jagau TC, Bravaya KB, Krylov AI. Extending Quantum Chemistry of Bound States to Electronic Resonances. Annu Rev Phys Chem 2017; 68:525-553. [DOI: 10.1146/annurev-physchem-052516-050622] [Citation(s) in RCA: 104] [Impact Index Per Article: 14.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Thomas-C. Jagau
- Department of Chemistry, Ludwig Maximilian University of Munich, 81377 Munich, Germany
| | - Ksenia B. Bravaya
- Department of Chemistry, Boston University, Boston, Massachusetts 02215
| | - Anna I. Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089
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Jagau TC, Krylov AI. Characterizing metastable states beyond energies and lifetimes: Dyson orbitals and transition dipole moments. J Chem Phys 2016; 144:054113. [DOI: 10.1063/1.4940797] [Citation(s) in RCA: 49] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Thomas-C. Jagau
- Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA
| | - Anna I. Krylov
- Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA
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White AF, Head-Gordon M, McCurdy CW. Complex basis functions revisited: Implementation with applications to carbon tetrafluoride and aromatic N-containing heterocycles within the static-exchange approximation. J Chem Phys 2015; 142:054103. [DOI: 10.1063/1.4906940] [Citation(s) in RCA: 38] [Impact Index Per Article: 4.2] [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 and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Martin Head-Gordon
- Department of Chemistry, University of California, Berkeley and Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - C. William McCurdy
- Chemical Sciences and Ultrafast X-ray Science Laboratory, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Chemistry, University of California, Davis, California 95616, 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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Jagau TC, Zuev D, Bravaya KB, Epifanovsky E, Krylov AI. A Fresh Look at Resonances and Complex Absorbing Potentials: Density Matrix-Based Approach. J Phys Chem Lett 2014; 5:310-315. [PMID: 26270705 DOI: 10.1021/jz402482a] [Citation(s) in RCA: 85] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
A new strategy of using complex absorbing potentials (CAPs) within electronic structure calculations of metastable electronic states, which are ubiquitous in chemistry and physics, is presented. The stumbling block in numerical applications of CAPs is the necessity to optimize the CAP strength for each system, state, and one-electron basis set, while there is no clear metric to assess the quality of the results and no simple algorithm of achieving numerical convergence. By analyzing the behavior of resonance wave functions, we found that robust results can be obtained when considering fully stabilized resonance states characterized by constant density at large η (parameter determining the CAP strength). Then the perturbation due to the finite-strength CAP can be removed by a simple energy correction derived from energy decomposition analysis and response theory. The utility of this approach is illustrated by CAP-augmented calculations of several shape resonances using EOM-EA-CCSD with standard Gaussian basis sets.
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Affiliation(s)
- Thomas-C Jagau
- †Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, United States
| | - Dmitry Zuev
- †Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, United States
| | - Ksenia B Bravaya
- ‡Department of Chemistry, Boston University, Boston, Massachusetts 02215-2521, United States
| | - Evgeny Epifanovsky
- †Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, United States
- §Department of Chemistry, University of California, Berkeley, California 94720, United States
- ∥Q-Chem Inc., 6601 Owens Drive, Suite 105, Pleasanton, California 94588, United States
| | - Anna I Krylov
- †Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482, United States
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Kalita DJ, Gupta AK. Application of smooth exterior scaling method to calculate the high harmonic generation spectra. J Chem Phys 2013; 138:074313. [PMID: 23445015 DOI: 10.1063/1.4792146] [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
We have calculated the high harmonic generation spectra from Xe atom by imposing different kinds of absorbing potentials. Owing to the center of inversion of the model system, one should get odd harmonics only. However, using negative imaginary potentials as an absorbing boundary condition, we have also got even order harmonics along with the odd order harmonics. These non-odd order harmonics are generated due to the spurious reflections occurring at the grid boundary. On the contrary, when smooth exterior scaling methods are used as an absorbing boundary condition, only odd order harmonics are obtained. Hence, smooth exterior scaling methods impose proper absorbing boundary condition.
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Affiliation(s)
- Dhruba J Kalita
- Department of Chemistry, Indian Institute of Technology, Guwahati 781039, Assam, India
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Kalita DJ, Gupta AK. Use of modified smooth exterior scaling method as an absorbing potential and its application. J Chem Phys 2011; 134:094301. [DOI: 10.1063/1.3558737] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
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Karlsson HO. Exterior complex dilation for grid methods: Application to the cumulative reaction probability. J Chem Phys 1998. [DOI: 10.1063/1.475787] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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Kurasov PB, Scrinzi A, Elander N. delta ' potential arising in exterior complex scaling. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:5095-5097. [PMID: 9910832 DOI: 10.1103/physreva.49.5095] [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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Rom N, Moiseyev N. Absorbing boundary conditions by the partial integration exterior scaling method. J Chem Phys 1993. [DOI: 10.1063/1.465699] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Scrinzi A, Elander N. A finite element implementation of exterior complex scaling for the accurate determination of resonance energies. J Chem Phys 1993. [DOI: 10.1063/1.464014] [Citation(s) in RCA: 75] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Rom N, Moiseyev N, Lefebvre R. Tunneling rates in a two‐dimensional symmetric double‐well potential surface by the exterior scaling procedure. J Chem Phys 1991. [DOI: 10.1063/1.460858] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Rom N, Engdahl E, Moiseyev N. Tunneling rates in bound systems using smooth exterior complex scaling within the framework of the finite basis set approximation. J Chem Phys 1990. [DOI: 10.1063/1.458821] [Citation(s) in RCA: 55] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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