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Gusmão EF, Haiduke RLA. Relativistic adapted Gaussian basis sets free of variational prolapse of small and medium size for cesium through radon. J Comput Chem 2023; 44:2478-2485. [PMID: 37610122 DOI: 10.1002/jcc.27212] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2023] [Revised: 07/10/2023] [Accepted: 08/05/2023] [Indexed: 08/24/2023]
Abstract
Relativistic adapted Gaussian basis sets of small and medium sizes are presented in this study for all elements from cesium to radon, including some alternative electron configurations. Both basis sets are made free of variational prolapse, being developed by means of a polynomial version of the generator coordinate Dirac-Fock method. In addition, these sets were designed to be promptly used with two popular finite nuclear models, uniform sphere and Gaussian nuclei. The largest basis set errors found with the uniform sphere nucleus are 27.3 and 10.6 mHartree, respectively, for the small- and medium-size sets. The largest basis set errors obtained with the Gaussian nuclear model are smaller, reaching 23.2 and 7.1 mHartree for the small- and medium-size sets, respectively. Soon, these basis sets will be augmented with polarization functions to be properly used in molecular calculations.
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Affiliation(s)
- Eriosvaldo Florentino Gusmão
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, São Carlos, SP, Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, São Carlos, SP, Brazil
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2
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Gusmão EF, Haiduke RLA. Relativistic adapted Gaussian basis sets free of variational prolapse of small and medium size for hydrogen through xenon. J Comput Chem 2022; 43:1901-1910. [PMID: 36056621 DOI: 10.1002/jcc.26990] [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: 04/25/2022] [Revised: 06/20/2022] [Accepted: 08/03/2022] [Indexed: 11/09/2022]
Abstract
Two new relativistic adapted Gaussian basis sets of small and medium size are presented for all elements from Hydrogen through Xenon. These sets are free of variational prolapse and were developed with the polynomial generator coordinate Dirac-Fock method to be used with two finite nuclear models, uniform sphere and Gaussian. The largest basis set errors for electronic configurations from the Aufbau principle are around 10.0 and 4.7 mHartree for the small- and medium-size sets, respectively, which is in accordance with the accuracy level expected in each case. Hence, to our knowledge, these are the smallest prolapse free basis sets developed for these elements.
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Affiliation(s)
- Eriosvaldo Florentino Gusmão
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, Av. Trabalhador São-Carlense, 400, São Carlos, São Paulo, Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, Av. Trabalhador São-Carlense, 400, São Carlos, São Paulo, Brazil
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Maringolo MP, Tello ACM, Guimarães AR, Alves JMA, das Chagas Alves Lima F, Longo E, da Silva ABF. On polarization functions for Gaussian basis sets. J Mol Model 2020; 26:293. [PMID: 32995927 DOI: 10.1007/s00894-020-04538-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2019] [Accepted: 09/07/2020] [Indexed: 11/28/2022]
Abstract
In this work, we introduce a technique to choose polarization functions directly from the primitive set of Gaussian exponent without the necessity to optimize or even reoptimized them. For this purpose, initially, we employed Gaussian basis sets generated by using the Polynomial Generator Coordinate Hartree-Fock (PGCHF) method, and later we extended our technique to the cc-pVQZ and pc-3 Gaussian basis sets in order to show how our technique works and how good it is. Using the new polarized basis sets, from our technique, total electronic energies, equilibrium geometries, and vibrational frequencies were calculated for a set of molecules containing atoms from H(Z = 1) to Ba(Z = 56). The technique presented here can be used with any Gaussian basis set flexible (large) enough and also can be used to choose Gaussian basis set exponents from one basis set to another as polarization functions.
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Affiliation(s)
- Milena Palhares Maringolo
- Instituto de Química de São Carlos Universidade de São Paulo, C.P. 780, São Carlos, SP, 13560-970, Brazil
| | - Ana Cristina Mora Tello
- Instituto de Química de São Carlos Universidade de São Paulo, C.P. 780, São Carlos, SP, 13560-970, Brazil.,CDMF, Universidade Federal de São Carlos, P.O. Box 676, São Carlos, SP, 13565-905, Brazil
| | - Amanda Ribeiro Guimarães
- Instituto de Química de São Carlos Universidade de São Paulo, C.P. 780, São Carlos, SP, 13560-970, Brazil
| | - Júlia Maria Aragon Alves
- Instituto de Química de São Carlos Universidade de São Paulo, C.P. 780, São Carlos, SP, 13560-970, Brazil
| | | | - Elson Longo
- CDMF, Universidade Federal de São Carlos, P.O. Box 676, São Carlos, SP, 13565-905, Brazil
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Teodoro TQ, Visscher L, da Silva ABF, Haiduke RLA. Relativistic Prolapse-Free Gaussian Basis Sets of Quadruple-ζ Quality: (aug-)RPF-4Z. III. The f-Block Elements. J Chem Theory Comput 2017; 13:1094-1101. [DOI: 10.1021/acs.jctc.6b00650] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
- Amsterdam
Center for Multiscale Modeling, Vrije Universiteit Amsterdam, de Boelelaan
1083, 1081 HV Amsterdam, The Netherlands
| | - Lucas Visscher
- Amsterdam
Center for Multiscale Modeling, Vrije Universiteit Amsterdam, de Boelelaan
1083, 1081 HV Amsterdam, The Netherlands
| | - Albérico Borges Ferreira da Silva
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
| | - Roberto Luiz Andrade Haiduke
- Department of Chemistry and Molecular Physics, São Carlos Institute of Chemistry, University of São Paulo, Trabalhador São-carlense Av. 400, São Carlos, Brazil
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Teodoro TQ, Ferreira da Silva AB, Haiduke RLA. Relativistic Prolapse-Free Gaussian Basis Set of Quadruple-ζ Quality: (aug-)RPF-4Z. II. The d-Block Elements. J Chem Theory Comput 2014; 10:4761-4. [DOI: 10.1021/ct500804j] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense
400, 13560-970 São
Carlos, SP, Brazil
| | - Albérico Borges Ferreira da Silva
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense
400, 13560-970 São
Carlos, SP, Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense
400, 13560-970 São
Carlos, SP, Brazil
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Teodoro TQ, da Silva ABF, Haiduke RLA. Relativistic Prolapse-Free Gaussian Basis Set of Quadruple-ζ Quality: (aug-)RPF-4Z. I. The s- and p-Block Elements. J Chem Theory Comput 2014; 10:3800-6. [DOI: 10.1021/ct500518n] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
| | - Albérico Borges Ferreira da Silva
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química
e Física Molecular, Instituto de Química de São
Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense,
400-CP 780 13560-970, São Carlos, SP, Brazil
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Santiago RT, Teodoro TQ, Haiduke RLA. The nuclear electric quadrupole moment of copper. Phys Chem Chem Phys 2014; 16:11590-6. [PMID: 24806277 DOI: 10.1039/c4cp00706a] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The nuclear electric quadrupole moment (NQM) of the (63)Cu nucleus was determined from an indirect approach by combining accurate experimental nuclear quadrupole coupling constants (NQCCs) with relativistic Dirac-Coulomb coupled cluster calculations of the electric field gradient (EFG). The data obtained at the highest level of calculation, DC-CCSD-T, from 14 linear molecules containing the copper atom give rise to an indicated NQM of -198(10) mbarn. Such result slightly deviates from the previously accepted standard value given by the muonic method, -220(15) mbarn, although the error bars are superimposed.
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Affiliation(s)
- Régis Tadeu Santiago
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, Av. Trabalhador São-carlense, 400-CP 780, 13560-970-São Carlos, SP, Brazil.
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Teodoro TQ, Haiduke RLA. Accurate relativistic adapted gaussian basis sets for francium through ununoctium without variational prolapse and to be used with both uniform sphere and gaussian nucleus models. J Comput Chem 2013; 34:2372-9. [DOI: 10.1002/jcc.23400] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/29/2013] [Revised: 07/12/2013] [Accepted: 07/17/2013] [Indexed: 11/10/2022]
Affiliation(s)
- Tiago Quevedo Teodoro
- Departamento de Química e Física Molecular; Instituto de Química de São Carlos, Universidade de São Paulo; Av. Trabalhador São-carlense; 400 - CP 780, 13560-970 - São Carlos; SP; Brazil
| | - Roberto Luiz Andrade Haiduke
- Departamento de Química e Física Molecular; Instituto de Química de São Carlos, Universidade de São Paulo; Av. Trabalhador São-carlense; 400 - CP 780, 13560-970 - São Carlos; SP; Brazil
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Tatewaki H, Yamamoto S, Watanabe Y, Nakano H. Electronic structure of CeF from frozen-core four-component relativistic multiconfigurational quasidegenerate perturbation theory. J Chem Phys 2008; 128:214901. [DOI: 10.1063/1.2924118] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Haiduke RL, Comar M, da Silva AB. The employment of relativistic adapted Gaussian basis sets in Douglas–Kroll–Hess scalar calculations with diatomic molecules. Chem Phys 2006. [DOI: 10.1016/j.chemphys.2006.10.009] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Haiduke RLA, da Silva ABF, Visscher L. The nuclear electric quadrupole moment of antimony from the molecular method. J Chem Phys 2006; 125:64301. [PMID: 16942280 DOI: 10.1063/1.2234369] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Relativistic Dirac-Coulomb (DC) Hartree-Fock calculations are employed to obtain the analytic electric field gradient (EFG) on the antimony nucleus in the SbN, SbP, SbF, and SbCl molecules. The electronic correlation contribution to the EFGs is included with the DC-CCSD(T) and DC-CCSD-T approaches, also in the four-component framework, using a finite-difference method. The total EFG results, along with the experimental nuclear quadrupole coupling constants from microwave spectroscopy, allow to derive the nuclear quadrupole moments of (121)Sb and (123)Sb, respectively, as -543(11) and -692(14) mb.
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Affiliation(s)
- Roberto L A Haiduke
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, C.P. 780, São Carlos, São Paulo 13560-970, Brazil
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Yamamoto S, Tatewaki H, Watanabe Y. Gaussian-type function set without prolapse for the Dirac-Fock-Roothaan equation (II): 80Hg through 103Lr. J Chem Phys 2006; 125:054106. [PMID: 16942202 DOI: 10.1063/1.2222362] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present prolapse-free universal Gaussian-type basis sets for 80Hg through 103Lr. The basis set is determined so that the Dirac-Fock-Roothaan total energy should decrease monotonically toward the numerical Dirac-Fock total energy. The difference between the Dirac-Fock-Roothaan total energy and the numerical Dirac-Fock total energy is less than 3 x 10(-6) hartree for 1H through 102No, and less than 5 x 10(-6) hartree for 103Lr. The exponents of the present sets are determined in an even-tempered manner, aiming to give total energy closer to the numerical Dirac-Fock value as the expansion term increases. The recommended set is expanded by (64, 64, 64, 46, 46, 46, 46) terms for (s+, p-, p+, d-, d+, f-, f+) symmetries, respectively. A practical set with (56, 48, 48, 36, 36, 36, 36) terms is also presented.
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Affiliation(s)
- Shigeyoshi Yamamoto
- Faculty of Liberal Arts, Chukyo University, 101-2 Yagoto-Honmachi, Nagoya, Aichi 466-8666, Japan
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Haiduke RLA, Da Silva ABF. Accurate relativistic adapted Gaussian basis sets for Cesium through Radon without variational prolapse and to be used with both uniform sphere and Gaussian nucleus models. J Comput Chem 2006; 27:1970-9. [PMID: 17031899 DOI: 10.1002/jcc.20500] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
Accurate relativistic adapted Gaussian basis sets (RAGBSs) from Cs (Z = 55) through Rn (Z = 86) without variational prolapse were developed by using the polynomial version of the Generator Coordinate Dirac-Fock method. The RAGBSs presented here can be used with any of two popular finite nucleus models, the uniform sphere and the Gaussian models. The largest RAGBS error is 4.5 mHartree for Radon with a size of 30s27p17d11f.
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Affiliation(s)
- Roberto L A Haiduke
- Departamento de Química e Física Molecular, Instituto de Química de São Carlos, Universidade de São Paulo, C.P. 780, 13560-970, São Carlos, SP, Brasil
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