1
|
Zhang Y, Suo B, Wang Z, Zhang N, Li Z, Lei Y, Zou W, Gao J, Peng D, Pu Z, Xiao Y, Sun Q, Wang F, Ma Y, Wang X, Guo Y, Liu W. BDF: A relativistic electronic structure program package. J Chem Phys 2020; 152:064113. [DOI: 10.1063/1.5143173] [Citation(s) in RCA: 33] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Yong Zhang
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
| | - Bingbing Suo
- Shaanxi Key Laboratory for Theoretical Physics Frontiers, Institute of Modern Physics, Northwest University, Xi’an, Shaanxi 710127, People’s Republic of China
| | - Zikuan Wang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Beijing 100871, People’s Republic of China
| | - Ning Zhang
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Beijing 100871, People’s Republic of China
| | - Zhendong Li
- Key Laboratory of Theoretical and Computational Photochemistry of Ministry of Education, College of Chemistry, Beijing Normal University, Beijing 100875, People’s Republic of China
| | - Yibo Lei
- Key Laboratory of Synthetic and Natural Functional Molecule Chemistry of Ministry of Education, Shaanxi Key Laboratory of Physico-Inorganic Chemistry, College of Chemistry and Materials Science, Northwest University, Xi’an, Shaanxi 710127, People’s Republic of China
| | - Wenli Zou
- Shaanxi Key Laboratory for Theoretical Physics Frontiers, Institute of Modern Physics, Northwest University, Xi’an, Shaanxi 710127, People’s Republic of China
| | - Jun Gao
- Hubei Key Laboratory of Agricultural Bioinformatics, College of Informatics, Huazhong Agricultural University, Wuhan, Hubei 430070, People’s Republic of China
| | - Daoling Peng
- College of Chemistry, South China Normal University, Guangzhou, Guangdong 510006, People’s Republic of China
| | - Zhichen Pu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Beijing 100871, People’s Republic of China
| | - Yunlong Xiao
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, College of Chemistry and Molecular Engineering, Beijing 100871, People’s Republic of China
| | - Qiming Sun
- Tencent America LLC, Palo Alto, California 94306, USA
| | - Fan Wang
- Key Laboratory of High Energy Density Physics and Technology of Ministry of Education, Institute of Atomic and Molecular Physics, Sichuan University, Chengdu, Sichuan 610065, People’s Republic of China
| | - Yongtao Ma
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
| | - Xiaopeng Wang
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
| | - Yang Guo
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
| | - Wenjian Liu
- Qingdao Institute for Theoretical and Computational Sciences, Shandong University, Qingdao, Shandong 266237, People’s Republic of China
| |
Collapse
|
2
|
Abstract
Abstract
Any quantum mechanical calculation on electronic structure ought to choose first an appropriate Hamiltonian H and then an Ansatz for parameterizing the wave function Ψ, from which the desired energy/property E(λ) can finally be calculated. Therefore, the very first question is: what is the most accurate many-electron Hamiltonian H? It is shown that such a Hamiltonian i.e. effective quantum electrodynamics (eQED) Hamiltonian, can be obtained naturally by incorporating properly the charge conjugation symmetry when normal ordering the second quantized fermion operators. Taking this eQED Hamiltonian as the basis, various approximate relativistic many-electron Hamiltonians can be obtained based entirely on physical arguments. All these Hamiltonians together form a complete and continuous ‘Hamiltonian ladder’, from which one can pick up the right one according to the target physics and accuracy. As for the many-electron wave function Ψ, the most intriguing questions are as follows. (i) How to do relativistic explicit correlation? (ii) How to handle strong correlation? Both general principles and practical strategies are outlined here to handle these issues. Among the electronic properties E(λ) that sample the electronic wave function nearby the nuclear region, nuclear magnetic resonance (NMR) shielding and nuclear spin-rotation (NSR) coupling constant are especially challenging: they require body-fixed molecular Hamiltonians that treat both the electrons and nuclei as relativistic quantum particles. Nevertheless, they have been formulated rigorously. In particular, a very robust ‘relativistic mapping’ between the two properties has been established, which can translate experimentally measured NSR coupling constants to very accurate absolute NMR shielding scales that otherwise cannot be obtained experimentally. Since the most general and fundamental issues pertinent to all the three components of the quantum mechanical equation HΨ = EΨ (i.e. Hamiltonian H, wave function Ψ, and energy/property E(λ)) have fully been understood, the big picture of relativistic molecular quantum mechanics can now be regarded as established.
Collapse
Affiliation(s)
- Wenjian Liu
- Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing 100871, China
| |
Collapse
|
3
|
Demissie TB, Jaszuński M, Komorovsky S, Repisky M, Ruud K. Absolute NMR shielding scales and nuclear spin–rotation constants in 175LuX and 197AuX (X = 19F, 35Cl, 79Br and 127I). J Chem Phys 2015; 143:164311. [DOI: 10.1063/1.4934533] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Taye B. Demissie
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Kasprzaka 44, 01 224 Warszawa, Poland
| | - Stanislav Komorovsky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Michal Repisky
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| | - Kenneth Ruud
- Centre for Theoretical and Computational Chemistry, Department of Chemistry, UiT The Arctic University of Norway, N-9037 Tromsø, Norway
| |
Collapse
|
4
|
Komorovsky S, Repisky M, Malkin E, Demissie TB, Ruud K. Four-Component Relativistic Density-Functional Theory Calculations of Nuclear Spin–Rotation Constants: Relativistic Effects in p-Block Hydrides. J Chem Theory Comput 2015; 11:3729-39. [DOI: 10.1021/acs.jctc.5b00276] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Stanislav Komorovsky
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Michal Repisky
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Elena Malkin
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Taye B. Demissie
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| | - Kenneth Ruud
- Department of Chemistry,
Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, 9037 Tromsø, Norway
| |
Collapse
|
5
|
Demissie TB, Jaszuński M, Malkin E, Komorovský S, Ruud K. NMR shielding and spin–rotation constants in XCO (X = Ni, Pd, Pt) molecules. Mol Phys 2015. [DOI: 10.1080/00268976.2014.993343] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Taye B. Demissie
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Michał Jaszuński
- Institute of Organic Chemistry, Polish Academy of Sciences, Warszawa, Poland
| | - Elena Malkin
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Stanislav Komorovský
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| | - Kenneth Ruud
- Department of Chemistry, Centre for Theoretical and Computational Chemistry, UiT The Arctic University of Norway, Tromsø, Norway
| |
Collapse
|