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Liao C, Lambros E, Sun Q, Dyall KG, Li X. Exploring Locality in Molecular Dirac-Coulomb-Breit Calculations: A Perspective. J Chem Theory Comput 2023; 19:9009-9017. [PMID: 38090757 DOI: 10.1021/acs.jctc.3c01012] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2023]
Abstract
The Dirac-Coulomb-Breit (DCB) operator is widely recognized for its ability to accurately capture relativistic effects and spin-physics in molecular calculations. However, due to its high computational cost, there is a need to develop low-scaling approximations without compromising accuracy. To tackle this challenge, it becomes essential to gain a deeper understanding of the DCB operator's behavior. This work aims to explore local integral approximations, shedding light on the locality of the parts of the charge-current distribution due to the small component. In particular, we propose an atomic Breit approximation that leverages an analysis of the behavior observed in a series of gold chains. Through benchmark studies of metal complexes, we evaluated the accuracy and performance of the proposed atomic Breit approximation. This work provides a comprehensive understanding of the behavior of the charge-current distribution in terms of its contributions from its AO basis constituents, facilitating the development of low-scaling methods that strike a balance between computational efficiency and accuracy.
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Affiliation(s)
- Can Liao
- Department of Chemistry, University of Washington, Seattle, Washington, 98195 United States
| | - Eleftherios Lambros
- Department of Chemistry, University of Washington, Seattle, Washington, 98195 United States
| | - Qiming Sun
- AxiomQuant Investment Management LLC, Shanghai, 200120 China
| | | | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington, 98195 United States
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Sun S, Ehrman J, Zhang T, Sun Q, Dyall KG, Li X. Scalar Breit interaction for molecular calculations. J Chem Phys 2023; 158:2888154. [PMID: 37139994 DOI: 10.1063/5.0144359] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2023] [Accepted: 04/24/2023] [Indexed: 05/05/2023] Open
Abstract
Variational treatment of the Dirac-Coulomb-Gaunt or Dirac-Coulomb-Breit two-electron interaction at the Dirac-Hartree-Fock level is the starting point of high-accuracy four-component calculations of atomic and molecular systems. In this work, we introduce, for the first time, the scalar Hamiltonians derived from the Dirac-Coulomb-Gaunt and Dirac-Coulomb-Breit operators based on spin separation in the Pauli quaternion basis. While the widely used spin-free Dirac-Coulomb Hamiltonian includes only the direct Coulomb and exchange terms that resemble nonrelativistic two-electron interactions, the scalar Gaunt operator adds a scalar spin-spin term. The spin separation of the gauge operator gives rise to an additional scalar orbit-orbit interaction in the scalar Breit Hamiltonian. Benchmark calculations of Aun (n = 2-8) show that the scalar Dirac-Coulomb-Breit Hamiltonian can capture 99.99% of the total energy with only 10% of the computational cost when real-valued arithmetic is used, compared to the full Dirac-Coulomb-Breit Hamiltonian. The scalar relativistic formulation developed in this work lays the theoretical foundation for the development of high-accuracy, low-cost correlated variational relativistic many-body theory.
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Affiliation(s)
- Shichao Sun
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | - Jordan Ehrman
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | - Tianyuan Zhang
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
| | - Qiming Sun
- AxiomQuant Investment Management LLC, Shanghai 200120, China
| | | | - Xiaosong Li
- Department of Chemistry, University of Washington, Seattle, Washington 98195, USA
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Dutta NN. Trend of Gaunt interaction contributions to the electric dipole polarizabilities of noble gas, alkaline-earth, and a few group-12 atoms. Chem Phys Lett 2020. [DOI: 10.1016/j.cplett.2020.137911] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Accurate Relativistic Fock-Space Calculations for Many-Electron Atoms. ACTA ACUST UNITED AC 2004. [DOI: 10.1016/s1380-7323(04)80029-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Orbital-Dependent Functionals for the Exchange-Correlation Energy: A Third Generation of Density Functionals. ACTA ACUST UNITED AC 2003. [DOI: 10.1007/3-540-37072-2_2] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/04/2023]
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Relativistic Density Functional Theory. ACTA ACUST UNITED AC 2003. [DOI: 10.1007/978-94-017-0105-1_11] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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Vilkas MJ, Ishikawa Y, Hirao K. Ionization energies and fine structure splittings of highly correlated systems: Zn, zinc-like ions and copper-like ions. Chem Phys Lett 2000. [DOI: 10.1016/s0009-2614(00)00361-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Direct calculation of ground-state electronic densities and properties of noble gas atoms through a single time-dependent hydrodynamical equation. Chem Phys Lett 1999. [DOI: 10.1016/s0009-2614(99)00612-0] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Nash CS, Bursten BE. Spin−Orbit Effects, VSEPR Theory, and the Electronic Structures of Heavy and Superheavy Group IVA Hydrides and Group VIIIA Tetrafluorides. A Partial Role Reversal for Elements 114 and 118. J Phys Chem A 1999; 103:402-410. [DOI: 10.1021/jp982735k] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Clinton S. Nash
- The Glenn T. Seaborg Institute for
Transactinium Science, Lawrence
Livermore National Laboratory,
Livermore, California 94550
| | - Bruce E. Bursten
- Department of Chemistry, The Ohio
State University, 100 West
18th Avenue, Columbus, Ohio 43210
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Vilkas MJ, Koc K, Ishikawa Y. Relativistic multireference Møller–Plesset perturbation theory based on multiconfigurational Dirac–Fock reference functions. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00983-x] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Full potential linearized-augmented-plane-wave calculations for 5d transition metals using the relativistic generalized gradient approximation. ADVANCES IN QUANTUM CHEMISTRY 1998. [DOI: 10.1016/s0065-3276(08)60437-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
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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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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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Koc K, Ishikawa Y, Kagawa T, Kim YK. Relativistic modification of asymptotic configuration interaction in the carbon isoelectronic sequence. Chem Phys Lett 1996. [DOI: 10.1016/s0009-2614(96)01174-8] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Pershina VG. Electronic Structure and Properties of the Transactinides and Their Compounds. Chem Rev 1996; 96:1977-2010. [PMID: 11848818 DOI: 10.1021/cr941182g] [Citation(s) in RCA: 146] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Valeria G. Pershina
- Gesellschaft für Schwerionenforschung, Planckstrasse 1, Postfach 11 05 52, D-64200 Darmstadt, Germany
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Ishikawa Y, Koc K. Relativistic many-body perturbation theory for general open-shell multiplet states of atoms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3966-3973. [PMID: 9913359 DOI: 10.1103/physreva.53.3966] [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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Engel E, Keller S, Bonetti AF, Müller H, Dreizler RM. Local and nonlocal relativistic exchange-correlation energy functionals: Comparison to relativistic optimized-potential-model results. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 52:2750-2764. [PMID: 9912556 DOI: 10.1103/physreva.52.2750] [Citation(s) in RCA: 53] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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