2
|
Chen Z, Yang J. Nucleus-electron correlation revising molecular bonding fingerprints from the exact wavefunction factorization. J Chem Phys 2021; 155:104111. [PMID: 34525813 DOI: 10.1063/5.0056773] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
We present a novel theory and implementation for computing coupled electronic and quantal nuclear subsystems on a single potential energy surface, moving beyond the standard Born-Oppenheimer (BO) separation of nuclei and electrons. We formulate an exact self-consistent nucleus-electron embedding potential from the single product molecular wavefunction and demonstrate that the fundamental behavior of the correlated nucleus-electron can be computed for mean-field electrons that are responsive to a quantal anharmonic vibration of selected nuclei in a discrete variable representation. Geometric gauge choices are discussed and necessary for formulating energy invariant biorthogonal electronic equations. Our method is further applied to characterize vibrationally averaged molecular bonding properties of molecular energetics, bond lengths, and protonic and electron densities. Moreover, post-Hartree-Fock electron correlation can be conveniently computed on the basis of nucleus-electron coupled molecular orbitals, as demonstrated for correlated models of second-order Møllet-Plesset perturbation and full configuration interaction theories. Our approach not only accurately quantifies non-classical nucleus-electron couplings for revising molecular bonding properties but also provides an alternative time-independent approach for deploying non-BO molecular quantum chemistry.
Collapse
Affiliation(s)
- Ziyong Chen
- Department of Chemistry, The University of Hong Kong, Hong Kong, People's Republic of China
| | - Jun Yang
- Department of Chemistry, The University of Hong Kong, Hong Kong, People's Republic of China
| |
Collapse
|
3
|
Imafuku Y, Abe M, Schmidt MW, Hada M. Heavy Element Effects in the Diagonal Born-Oppenheimer Correction within a Relativistic Spin-Free Hamiltonian. J Phys Chem A 2016; 120:2150-9. [PMID: 27003510 DOI: 10.1021/acs.jpca.6b01507] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Methodologies beyond the Born-Oppenheimer (BO) approximation are nowadays important to explain high precision spectroscopic measurements. Most previous evaluations of the BO correction are, however, focused on light-element molecules and based on a nonrelativistic Hamiltonian, so no information about the BO approximation (BOA) breakdown in heavy-element molecules is available. The present work is the first to investigate the BOA breakdown for the entire periodic table, by considering scalar relativistic effects in the Diagonal BO correction (DBOC). In closed shell atoms, the relativistic EDBOC scales as Z(1.25) and the nonrelativistic EDBOC scales as Z(1.17), where Z is the atomic number. Hence, we found that EDBOC becomes larger in heavy element atoms and molecules, and the relativistic EDBOC increases faster than nonrelativistic EDBOC. We have further investigated the DBOC effects on properties such as potential energy curves, spectroscopic parameters, and various energetic properties. The DBOC effects for these properties are mostly affected by the lightest atom in the molecule. Hence, in X2 or XAt molecule (X = H, Li, Na, K, Rb, and Cs) the effect of DBOC systematically decreases when X becomes heavier but in HX molecules, the effect of DBOC seems relatively similar among all the molecules.
Collapse
Affiliation(s)
- Yuji Imafuku
- Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University , Tokyo 192-0397, Japan
| | - Minori Abe
- Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University , Tokyo 192-0397, Japan
| | - Michael W Schmidt
- Department of Chemistry and Ames Laboratory (US-DOE), Iowa State University , Ames, Iowa 50011, United States
| | - Masahiko Hada
- Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University , Tokyo 192-0397, Japan
| |
Collapse
|
4
|
Hirata S, Miller EB, Ohnishi YY, Yagi K. On the Validity of the Born−Oppenheimer Separation and the Accuracy of Diagonal Corrections in Anharmonic Molecular Vibrations. J Phys Chem A 2009; 113:12461-9. [DOI: 10.1021/jp903375d] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- So Hirata
- Quantum Theory Project and The Center for Macromolecular Science and Engineering, Departments of Chemistry and Physics, University of Florida, Gainesville, Florida 32611-8435
| | - Edward B. Miller
- Quantum Theory Project and The Center for Macromolecular Science and Engineering, Departments of Chemistry and Physics, University of Florida, Gainesville, Florida 32611-8435
| | - Yu-ya Ohnishi
- Department of Molecular Engineering, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan
| | - Kiyoshi Yagi
- Department of Applied Chemistry, School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan
| |
Collapse
|
5
|
Mielke SL, Schwenke DW, Schatz GC, Garrett BC, Peterson KA. Functional Representation for the Born−Oppenheimer Diagonal Correction and Born−Huang Adiabatic Potential Energy Surfaces for Isotopomers of H3. J Phys Chem A 2009; 113:4479-88. [DOI: 10.1021/jp8110887] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Affiliation(s)
- Steven L. Mielke
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, NASA Ames Research Center, MS T27B, Moffett Field, California 94035-1000, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99352, Department of Chemistry, Washington State University, Pullman, Washington 99164-4630
| | - David W. Schwenke
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, NASA Ames Research Center, MS T27B, Moffett Field, California 94035-1000, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99352, Department of Chemistry, Washington State University, Pullman, Washington 99164-4630
| | - George C. Schatz
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, NASA Ames Research Center, MS T27B, Moffett Field, California 94035-1000, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99352, Department of Chemistry, Washington State University, Pullman, Washington 99164-4630
| | - Bruce C. Garrett
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, NASA Ames Research Center, MS T27B, Moffett Field, California 94035-1000, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99352, Department of Chemistry, Washington State University, Pullman, Washington 99164-4630
| | - Kirk A. Peterson
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208-3113, NASA Ames Research Center, MS T27B, Moffett Field, California 94035-1000, Chemical and Materials Sciences Division, Pacific Northwest National Laboratory, Richland, Washington 99352, Department of Chemistry, Washington State University, Pullman, Washington 99164-4630
| |
Collapse
|
6
|
Mielke SL, Schwenke DW, Peterson KA. Benchmark calculations of the complete configuration-interaction limit of Born–Oppenheimer diagonal corrections to the saddle points of isotopomers of the H+H2 reaction. J Chem Phys 2005; 122:224313. [PMID: 15974674 DOI: 10.1063/1.1917838] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
We present a detailed ab initio study of the effect that the Born-Oppenheimer diagonal correction (BODC) has on the saddle-point properties of the H3 system and its isotopomers. Benchmark values are presented that are estimated to be within 0.1 cm(-1) of the complete configuration-interaction limit. We consider the basis set and correlation treatment requirements for accurate BODC calculations, and both are observed to be more favorable than for the Born-Oppenheimer energies. The BODC raises the H + H2 barrier height by 0.1532 kcal/mol and slightly narrows the barrier--with the imaginary frequency increasing by approximately 2%.
Collapse
Affiliation(s)
- Steven L Mielke
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA.
| | | | | |
Collapse
|
7
|
Mielke SL, Garrett BC, Peterson KA. A hierarchical family of global analytic Born–Oppenheimer potential energy surfaces for the H+H2 reaction ranging in quality from double-zeta to the complete basis set limit. J Chem Phys 2002. [DOI: 10.1063/1.1432319] [Citation(s) in RCA: 119] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|