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Kanungo B, Rufus ND, Gavini V. Efficient All-Electron Time-Dependent Density Functional Theory Calculations Using an Enriched Finite Element Basis. J Chem Theory Comput 2023; 19:978-991. [PMID: 36656153 DOI: 10.1021/acs.jctc.2c01052] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Abstract
We present an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis augments the classical finite element basis (CFE) with a compactly supported numerical atom-centered basis, obtained from atomic ground-state DFT calculations. Particularly, we orthogonalize the enrichment functions with respect to the classical finite element basis to ensure good conditioning of the resultant basis. We employ the second-order Magnus propagator in conjunction with an adaptive Krylov subspace method for efficient time evolution of the Kohn-Sham orbitals. We rely on a priori error estimates to guide our choice of an adaptive finite element mesh as well as the time step to be used in the TDDFT calculations. We observe close to optimal rates of convergence of the dipole moment with respect to spatial and temporal discretizations. Notably, we attain a 50-100 times speedup for the EFE basis over the CFE basis. We also demonstrate the efficacy of the EFE basis for both linear and nonlinear responses by studying the absorption spectra in sodium clusters, the linear to nonlinear response transition in the green fluorescence protein chromophore, and the higher harmonic generation in the magnesium dimer. Lastly, we attain good parallel scalability of our numerical implementation of the EFE basis for up to ∼1000 processors, using a benchmark system of a 50-atom sodium nanocluster.
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Affiliation(s)
- Bikash Kanungo
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan48109, United States
| | - Nelson D Rufus
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan48109, United States
| | - Vikram Gavini
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan48109, United States.,Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan48109, United States
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Wang G, Annaberdiyev A, Melton CA, Bennett MC, Shulenburger L, Mitas L. A new generation of effective core potentials from correlated calculations: 4s and 4p main group elements and first row additions. J Chem Phys 2019; 151:144110. [DOI: 10.1063/1.5121006] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Guangming Wang
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
| | - Abdulgani Annaberdiyev
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
| | - Cody A. Melton
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - M. Chandler Bennett
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | | | - Lubos Mitas
- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA
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Liu X, Hamilton IP. Helical gold nanorods as chiral recognition nanostructures: a relativistic density functional theory study. J Am Chem Soc 2014; 136:17757-61. [PMID: 25453899 DOI: 10.1021/ja5084267] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We establish helical gold nanorods as the first examples of chiral recognition nanostructures by examining the simple chiral molecule CClHDT adsorbed on the helical Au40 nanorod. We calculate the vibrational circular dichroism (VCD) spectra of the R and S enantiomers of CClHDT adsorbed on the R (or S) enantiomer of Au40 using relativistic density functional theory. The highest adsorption energy is found when the Cl atom of CClHDT binds to a low-coordinated Au atom at the edge of Au40. There are three adsorption modes (essentially identical in energy) corresponding to three orientations of the HDT moiety. We show that, for each adsorption mode, the VCD spectra are distinctly different for the Au40(R)-ClHDT(R) and Au40(R)-CClHDT(S) complexes, and we give a qualitative explanation for this based on the principle of chirality transfer. For comparison with the results for Au40, we calculate the VCD spectra of the R and S enantiomers of CClHDT adsorbed on the achiral Au20 tetrahedral cluster. Again, there are three adsorption modes (essentially identical in energy) corresponding to three orientations of the HDT moiety. However, we show that, for each adsorption mode, the VCD spectra are mirror symmetric but otherwise essentially identical for the Au20-CClHDT(R) and Au20-CClHDT(S) complexes. Thus, the inherent chirality of the helical Au40 nanorod is essential for its chiral recognition functionality.
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Affiliation(s)
- Xiaojing Liu
- Department of Chemistry, Wilfrid Laurier University , Waterloo, N2L 3C5 Ontario, Canada
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Sabor S, Benjelloun AT, Al Mogren MM, Hochlaf M. Characterization of gas phase WC²⁺: a thermodynamically stable carbide dication. Phys Chem Chem Phys 2014; 16:21356-62. [PMID: 25179836 DOI: 10.1039/c4cp03136a] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
Using an ab initio methodology, we performed a detailed theoretical study of the gas phase WC(2+) dication. These calculations were done using a multiconfigurational method in connection with a large basis set, where relativistic effects were taken into account. This dication is identified here as the first thermochemically stable doubly charged diatomic carbide in the gas phase. Our work hence confirms the stability of this dication in the gas phase and its earlier observations by atom probe mass spectrometry. Our calculations show that the shape of the potential energy curves of its lowest electronic states changes drastically upon consideration of relativistic effects. For instance, the electronic ground state possesses a Morse-like potential without spin-orbit that evolves to the usual volcanic behavior, and with a columbic 1/R evolution at large internuclear separation after inclusion of spin-orbit. We predict a set of thermochemical and spectroscopic data for this molecular species.
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Affiliation(s)
- S Sabor
- Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France.
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Liu XJ, Hamilton I. Adsorption of small molecules on helical gold nanorods: A relativistic density functional study. J Comput Chem 2014; 35:1967-76. [DOI: 10.1002/jcc.23711] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2014] [Revised: 07/11/2014] [Accepted: 07/25/2014] [Indexed: 11/10/2022]
Affiliation(s)
- Xiao-Jing Liu
- Department of Chemistry; Wilfrid Laurier University; Waterloo Ontario Canada N2L3C5
| | - Ian Hamilton
- Department of Chemistry; Wilfrid Laurier University; Waterloo Ontario Canada N2L3C5
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DeYonker NJ, Shah SA. The role of core–valence electron correlation in gallium halides: a comparison of composite methods. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1518-1] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Hangele T, Dolg M, Schwerdtfeger P. Relativistic energy-consistent pseudopotentials for superheavy elements 119 and 120 including quantum electrodynamic effects. J Chem Phys 2013; 138:174113. [DOI: 10.1063/1.4803148] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Affiliation(s)
- Tim Hangele
- Institute for Theoretical Chemistry, University of Cologne, Greinstr. 4, 50939 Cologne, Germany.
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Hangele T, Dolg M. Accuracy of relativistic energy-consistent pseudopotentials for superheavy elements 111–118: Molecular calibration calculations. J Chem Phys 2013; 138:044104. [DOI: 10.1063/1.4776757] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Hangele T, Dolg M, Hanrath M, Cao X, Schwerdtfeger P. Accurate relativistic energy-consistent pseudopotentials for the superheavy elements 111 to 118 including quantum electrodynamic effects. J Chem Phys 2012; 136:214105. [DOI: 10.1063/1.4723805] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Laury ML, DeYonker NJ, Jiang W, Wilson AK. A pseudopotential-based composite method: The relativistic pseudopotential correlation consistent composite approach for molecules containing 4d transition metals (Y–Cd). J Chem Phys 2011; 135:214103. [DOI: 10.1063/1.3662415] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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Liu XJ, Hamilton I, Krawczyk RP, Schwerdtfeger P. The stability of small helical gold nanorods: A relativistic density functional study. J Comput Chem 2011; 33:311-8. [DOI: 10.1002/jcc.21980] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2011] [Revised: 10/02/2011] [Accepted: 10/03/2011] [Indexed: 11/10/2022]
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Dolg M, Cao X. Relativistic pseudopotentials: their development and scope of applications. Chem Rev 2011; 112:403-80. [PMID: 21913696 DOI: 10.1021/cr2001383] [Citation(s) in RCA: 232] [Impact Index Per Article: 17.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Affiliation(s)
- Michael Dolg
- Theoretical Chemistry, University of Cologne, Greinstrasse 4, 50939 Cologne, Germany.
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Schwerdtfeger P. The pseudopotential approximation in electronic structure theory. Chemphyschem 2011; 12:3143-55. [PMID: 21809427 DOI: 10.1002/cphc.201100387] [Citation(s) in RCA: 123] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/19/2011] [Indexed: 11/05/2022]
Abstract
A short review is presented on one of the most successful theories for electronic structure calculations, the pseudopotential approximation, originally introduced by Hans G. A. Hellmann in 1934. Recent developments in relativistic quantum theory allow for the accurate adjustment of pseudopotential parameters to valence spectra, producing results for properties of atoms, molecules, and the solid-state in excellent agreement with more accurate all-electron results if a small-core definition is used. Thus the relativistic pseudopotential approximation is now the most widely applied method for systems containing heavy elements.
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Affiliation(s)
- Peter Schwerdtfeger
- Centre for Theoretical Chemistry and Physics (CTCP), The New Zealand Institute for Advanced Study (NZIAS), Massey University Auckland, Private Bag 102904, 0745 Auckland, New Zealand.
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Schwerdtfeger P, Assadollahzadeh B, Rohrmann U, Schäfer R, Cheeseman JR. Breakdown of the pseudopotential approximation for magnetizabilities and electric multipole moments: Test calculations for Au, AuF, and Snncluster (n⩽ 20). J Chem Phys 2011; 134:204102. [DOI: 10.1063/1.3591338] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023] Open
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16
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Figgen D, Saue T, Schwerdtfeger P. Relativistic four- and two-component calculations of parity violation effects in chiral tungsten molecules of the form NWXYZ (X, Y, Z=H, F, Cl, Br, or I). J Chem Phys 2010; 132:234310. [DOI: 10.1063/1.3439692] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
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17
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Karamanis P, Bégué D, Pouchan C. Ab initiofinite field (hyper)polarizability computations on stoichiometric gallium arsenide clusters GanAsn (n=2–9). J Chem Phys 2007; 127:094706. [PMID: 17824758 DOI: 10.1063/1.2768365] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We report reliable ab initio finite field (hyper)polarizability values at Hartree-Fock and second order Moller-Plesset perturbation theory (MP2) levels of theory for different geometrical configurations of small gallium arsenide clusters Ga(n)As(n) with n=2-5. We relied on all-electron basis sets and pseudopotentials suitable for (hyper)polarizability calculations. In each case, we used structures that have been established in the literature after we optimized their geometries at B3LYP/cc-pVTZ-PP level of theory. Our results suggest that the first order hyperpolarizability (beta) is much more sensitive to the special geometric features than the second order hyperpolarizability (gamma). For the most stable configurations up to ten atoms the second order hyperpolarizability at MP2 level of theory varies between 15 x 10(4) and 32 x 10(4) e(4)a0 (4)Eh(-3). In addition, we examined the polarizability per atom evolution versus the cluster size for Ga(n)As(n) with n=2-9. Our work extends earlier theoretical studies which were limited to eight atoms and exposes that the polarizability/atom of the most stable stoichiometric configurations up to Ga(9)As(9) continues the monotonic downward trend with increasing size. Lastly, from the methodological point of view, our analysis shows that apart from polarizabilities, augmented pseudopotentials yield reliable first and second hyperpolarizability values as well.
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Affiliation(s)
- Panaghiotis Karamanis
- Institut Pluridisciplinaire en Recherche sur l'Environnement et les Matériaux, UMR 5254 CNRS, Equipe de Chimie Physique, Groupe de Chimie Théorique, IFR, Rue Jules Ferry, BP 27540, F-64075 PAU, Cedex, France
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Hirata S, Yanai T, Harrison RJ, Kamiya M, Fan PD. High-order electron-correlation methods with scalar relativistic and spin-orbit corrections. J Chem Phys 2007; 126:024104. [PMID: 17228940 DOI: 10.1063/1.2423005] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
Abstract
An assortment of computer-generated, parallel-executable programs of ab initio electron-correlation methods has been fitted with the ability to use relativistic reference wave functions. This has been done on the basis of scalar relativistic and spin-orbit effective potentials and by allowing the computer-generated programs to handle complex-valued, spinless orbitals determined by these potentials. The electron-correlation methods that benefit from this extension are high-order coupled-cluster methods (up to quadruple excitation operators) for closed- and open-shell species, coupled-cluster methods for excited and ionized states (up to quadruples), second-order perturbation corrections to coupled-cluster methods (up to triples), high-order perturbation corrections to configuration-interaction singles, and active-space (multireference) coupled-cluster methods for the ground, excited, and ionized states (up to active-space quadruples). A subset of these methods is used jointly such that the dynamical correlation energies and scalar relativistic effects are computed by a lower-order electron-correlation method with more extensive basis sets and all-electron relativistic treatment, whereas the nondynamical correlation energies and spin-orbit effects are treated by a higher-order electron-correlation method with smaller basis sets and relativistic effective potentials. The authors demonstrate the utility and efficiency of this composite scheme in chemical simulation wherein the consideration of spin-orbit effects is essential: ionization energies of rare gases, spectroscopic constants of protonated rare gases, and photoelectron spectra of hydrogen halides.
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Affiliation(s)
- So Hirata
- Quantum Theory Project, Department of Chemistry, University of Florida, Gainesville, Florida 32611-8435, USA.
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Whittleton SR, Boyd RJ, Grindley TB. Evaluation of Effective Core Potentials and Basis Sets for the Prediction of the Geometries of Alkyltin Halides. J Phys Chem A 2006; 110:5893-6. [PMID: 16640386 DOI: 10.1021/jp056996n] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
A systematic comparison of the optimized geometries of five organotin compounds, Cl(n)Sn(CH(3))(4-n), n = 0-4, with the available gas-phase electron diffraction results is reported. All optimizations were carried out with the B3LYP density functional method. Comparison of 10 basis sets and three effective core potentials leads to the conclusion that the combination of the SDB-aug-cc-pVTZ basis set and the LANL2 effective core potential for tin, together with the 6-31G(d,p) basis set for the other atoms, is recommended for the prediction of the geometries of organotin compounds.
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Lim IS, Stoll H, Schwerdtfeger P. Relativistic small-core energy-consistent pseudopotentials for the alkaline-earth elements from Ca to Ra. J Chem Phys 2006; 124:034107. [PMID: 16438567 DOI: 10.1063/1.2148945] [Citation(s) in RCA: 117] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Abstract
Small-core ten-valence electron energy-consistent scalar- and two-component relativistic pseudopotentials for the alkaline-earth elements from Ca to Ra are presented. The accuracy and reliability of these pseudopotentials are discussed in terms of their ability to reproduce all-electron calculated and experimental dipole polarizabilities and ionization potentials.
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Affiliation(s)
- Ivan S Lim
- Quantum and Computational Chemistry Laboratory, Department of Chemistry, Korea Advanced Institute of Science and Technology, 373-1 Guseong-dong, Yuseong-gu, Daejoen 305-701, Republic of Korea
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van Stralen JN, Visscher L, Larsen CV, Jensen HJA. First-order MP2 molecular properties in a relativistic framework. Chem Phys 2005. [DOI: 10.1016/j.chemphys.2004.10.018] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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22
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Energy-consistent pseudopotentials for group 11 and 12 atoms: adjustment to multi-configuration Dirac–Hartree–Fock data. Chem Phys 2005. [DOI: 10.1016/j.chemphys.2004.10.005] [Citation(s) in RCA: 768] [Impact Index Per Article: 40.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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23
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Straka M, Kaupp M. Calculation of 19F NMR chemical shifts in uranium complexes using density functional theory and pseudopotentials. Chem Phys 2005. [DOI: 10.1016/j.chemphys.2004.10.041] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Zou W, Liu W. Extensive theoretical studies on the low-lying electronic states of indium monochloride cation, InCl+. J Comput Chem 2005; 26:106-13. [PMID: 15547941 DOI: 10.1002/jcc.20126] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
The global potential energy curves for the 14 low-lying doublet and quartet Lambda-S states of InCl+ are calculated at the scalar relativistic MR-CISD+Q (multireference configuration interaction with single and double excitations, and Davidson's correction) level of theory. Spin-orbit coupling is accounted for via the state interaction approach with the full Breit-Pauli Hamiltonian, which leads to 30 Omega states. The computed spectroscopic constants of nine bound Lambda-S states and 17 bound Omega states are in good agreement with the available experimental data. The transition dipole moments and Franck-Condon factors of selected transitions are also calculated, from which the corresponding radiative lifetimes are derived.
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Affiliation(s)
- Wenli Zou
- Institute of Theoretical and Computational Chemistry, and State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, Peking University, Beijing 100871, People's Republic of China
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25
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Relativistic Pseudopotential Calculations for Electronic Excited States. ACTA ACUST UNITED AC 2004. [DOI: 10.1016/s1380-7323(04)80035-9] [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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26
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Peterson KA. Systematically convergent basis sets with relativistic pseudopotentials. I. Correlation consistent basis sets for the post-d group 13–15 elements. J Chem Phys 2003. [DOI: 10.1063/1.1622923] [Citation(s) in RCA: 780] [Impact Index Per Article: 37.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
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Zou W, Lin M, Yang X, Zhang B. Ab initiocalculations on the ground and low-lying excited states of InCl. J Chem Phys 2003. [DOI: 10.1063/1.1591732] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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28
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Relativistic Pseudopotentials. THEORETICAL CHEMISTRY AND PHYSICS OF HEAVY AND SUPERHEAVY ELEMENTS 2003. [DOI: 10.1007/978-94-017-0105-1_10] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
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Rosso KM, Rustad JR, Gibbs GV. Trivalent Ion Hydrolysis Reactions II: Analysis of Electron Density Distributions in Metal−Oxygen Bonds. J Phys Chem A 2002. [DOI: 10.1021/jp020075k] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kevin M. Rosso
- W.R. Wiley Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99352, and Departments of Geological Sciences, Materials Sciences, and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
| | - James R. Rustad
- W.R. Wiley Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99352, and Departments of Geological Sciences, Materials Sciences, and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
| | - G. V. Gibbs
- W.R. Wiley Environmental Molecular Sciences Laboratory, Pacific Northwest National Laboratory, Richland, Washington 99352, and Departments of Geological Sciences, Materials Sciences, and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
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Dolg M. Chapter 14 Relativistic effective core potentials. THEORETICAL AND COMPUTATIONAL CHEMISTRY 2002. [DOI: 10.1016/s1380-7323(02)80040-1] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
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32
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Andrea D. Chapter 4 Nuclear charge density distributions in quantum chemistry. THEORETICAL AND COMPUTATIONAL CHEMISTRY 2002. [DOI: 10.1016/s1380-7323(02)80030-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
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Dyall KG. Interfacing relativistic and nonrelativistic methods. IV. One- and two-electron scalar approximations. J Chem Phys 2001. [DOI: 10.1063/1.1413512] [Citation(s) in RCA: 151] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Martin JML, Sundermann A. Correlation consistent valence basis sets for use with the Stuttgart–Dresden–Bonn relativistic effective core potentials: The atoms Ga–Kr and In–Xe. J Chem Phys 2001. [DOI: 10.1063/1.1337864] [Citation(s) in RCA: 1137] [Impact Index Per Article: 49.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Cardelino BH, Moore CE, Cardelino CA, Frazier DO, Bachmann KJ. Theoretical Study of Indium Compounds of Interest for Organometallic Chemical Vapor Deposition. J Phys Chem A 2001. [DOI: 10.1021/jp0013558] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- B. H. Cardelino
- Chemistry Department, Box 238, Spelman College, Atlanta, Georgia 30314, Space Science Laboratory, NASA George C. Marshall Space Flight Center, Huntsville, Alabama 35812, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, and Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695
| | - C. E. Moore
- Chemistry Department, Box 238, Spelman College, Atlanta, Georgia 30314, Space Science Laboratory, NASA George C. Marshall Space Flight Center, Huntsville, Alabama 35812, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, and Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695
| | - C. A. Cardelino
- Chemistry Department, Box 238, Spelman College, Atlanta, Georgia 30314, Space Science Laboratory, NASA George C. Marshall Space Flight Center, Huntsville, Alabama 35812, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, and Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695
| | - D. O. Frazier
- Chemistry Department, Box 238, Spelman College, Atlanta, Georgia 30314, Space Science Laboratory, NASA George C. Marshall Space Flight Center, Huntsville, Alabama 35812, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, and Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695
| | - K. J. Bachmann
- Chemistry Department, Box 238, Spelman College, Atlanta, Georgia 30314, Space Science Laboratory, NASA George C. Marshall Space Flight Center, Huntsville, Alabama 35812, School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, and Department of Materials Science and Engineering, North Carolina State University, Raleigh, North Carolina 27695
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Marino MM. Relativistic pseudopotentional incorporating core/valence polarization and nonlocal effects. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES 2001; 41:64-76. [PMID: 11206387 DOI: 10.1021/ci0000676] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A relativistic pseudopotentional (RPP) for use in ab initio molecular electronic structure calculations is derived in the context of the relativistic effective core potential (REP) method of Lee et al. The resulting atom-specific RPP has salient features of the REP imbedded within it while retaining the form of a functional that is dynamically defined at runtime when used in calculations on molecules. The RPP is determined from Dirac-Fock wave functions for the isolated atom. Outer core two-electron interactions are incorporated into the RPP by means of variable coefficients that are defined in the context of the final molecular wave function. This form permits polarization of the outer core shells analogous to that occurring in all-electron molecular Hartree-Fock calculations while retaining these shells as part of the atomic pseudopotentional. Use of the RPP in post-Hartree-Fock molecular calculations permits the incorporation of core/valence correlation effects.
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Affiliation(s)
- M M Marino
- Department of Chemistry and Chemical Biology, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA.
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Dyall KG. Formal analysis of effective core potential methods. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES 2001; 41:30-7. [PMID: 11206379 DOI: 10.1021/ci000048w] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Abstract
Effective core potentials are analyzed from the standpoint of the underlying frozen core approximation. The content of the pseudoorbital, the content of the potential, and the properties of both are elaborated, showing the points at which they differ from the frozen core approximation and where possible deficiencies might lie.
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Affiliation(s)
- K G Dyall
- Eloret Corporation, Sunnyvale, California 94087, USA.
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Ermler WC, Marino MM. Nodeless valence (pseudo)spinors. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES 2001; 41:77-82. [PMID: 11206384 DOI: 10.1021/ci0000629] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Atomic calculations using small-core relativistic effective core potentials (RECPs) explicitly treating outer core electrons are used to define two-component nodeless valence spinors (NVSs) and nodeless valence pseudospinors (NVPSs). Errors attributable to nonlocal electron repulsion interactions that arise from large-core RECPs are shown to result from the inherent arbitrariness in the choice of match points and number of derivatives that define shape-consistent pseudospinors, as well as the positions of radial nodes that reside in the outer core regions of atoms. Self-consistent field calculations in omegaomega-coupling for InH and InCl using RECPs derived from NVSs and NVPSs are reported. Increased bond distances relative to those calculated using very-large-core RECPs for In agree with those due to frozen 4d(3/2) and 4d(5/2) spinors and a small-core RECP. Results for AmCl+2 also reveal that the shortening in the bond length is recovered when the very-large-core RECP is derived using nodeless valence (pseudo)spinors.
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Affiliation(s)
- W C Ermler
- Department of Chemistry and Chemical Biology, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA.
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Schwerdtfeger P, Brown JR, Laerdahl JK, Stoll H. The accuracy of the pseudopotential approximation. III. A comparison between pseudopotential and all-electron methods for Au and AuH. J Chem Phys 2000. [DOI: 10.1063/1.1313556] [Citation(s) in RCA: 70] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Metz B, Stoll H, Dolg M. Small-core multiconfiguration-Dirac–Hartree–Fock-adjusted pseudopotentials for post-d main group elements: Application to PbH and PbO. J Chem Phys 2000. [DOI: 10.1063/1.1305880] [Citation(s) in RCA: 894] [Impact Index Per Article: 37.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Affiliation(s)
- M Hargittai
- Structural Chemistry Research Group, Hungarian Academy of Sciences, Eötvös University, Pf. 32, H-1518 Budapest, Hungary
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Wang Y, Flad HJ, Dolg M. Ab Initio Study of Structure and Bonding of Strontium Clusters. J Phys Chem A 2000. [DOI: 10.1021/jp000092e] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yixuan Wang
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
| | - Heinz-Jürgen Flad
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
| | - Michael Dolg
- Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
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Wesendrup R, Laerdahl JK, Schwerdtfeger P. Relativistic effects in gold chemistry. VI. Coupled cluster calculations for the isoelectronic series AuPt−, Au2, and AuHg+. J Chem Phys 1999. [DOI: 10.1063/1.478911] [Citation(s) in RCA: 59] [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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Haaland A, Shorokhov DJ, Volden HV, Klinkhammer KW. Molecular Structure of a Monomeric, Base-Free Metal(I) Amide, TlN[Si(CH(3))(3)](2), by Gas Electron Diffraction and by Density Functional Theory and ab Initio MP2 Calculations. Inorg Chem 1999; 38:1118-1120. [PMID: 11670892 DOI: 10.1021/ic981217l] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Thallium bis(trimethylsilyl)amide is a monomer in the gas phase. The molecular symmetry is C(2), the Tl-N bond length is 214.8(12) pm by gas electron diffraction as compared to about 258 pm in the crystalline dimer (Klinkhammer, K. W.; Henkel, S. J. Organomet. Chem. 1994, 480, 167). Structure optimization by DFT or ab initio (MP2) calculations with the ECP basis set on the Tl atom fails to reproduce the experimental Tl-N bond distance unless the 5s,5p,5d electrons on the metal are described explicitly and the atomic basis set includes both polarization and diffuse functions.
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Affiliation(s)
- Arne Haaland
- Department of Chemistry, University of Oslo, Box 1033 Blindern, N-0315 Oslo, Norway, and Institut für Anorganische Chemie, Universität Stuttgart, Pfaffenwaldring 55, D-70569 Stuttgart, Germany
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Kaiser B, Bernhardt TM, Kinne M, Rademann K, Heidenreich A. Formation, stability, and structures of antimony oxide cluster ions. J Chem Phys 1999. [DOI: 10.1063/1.478019] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Schwerdtfeger P, Bruce AE, Bruce MRM. Theoretical Studies on the Photochemistry of the Cis-to-Trans Conversion in Dinuclear Gold Halide Bis(diphenylphosphino)ethylene Complexes. J Am Chem Soc 1998. [DOI: 10.1021/ja973741h] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Peter Schwerdtfeger
- Contribution from the Department of Chemistry, University of Auckland, Private Bag 92019, Auckland, New Zealand, and the Department of Chemistry, University of Maine, Orono, Maine 04469
| | - Alice E. Bruce
- Contribution from the Department of Chemistry, University of Auckland, Private Bag 92019, Auckland, New Zealand, and the Department of Chemistry, University of Maine, Orono, Maine 04469
| | - Mitchell R. M. Bruce
- Contribution from the Department of Chemistry, University of Auckland, Private Bag 92019, Auckland, New Zealand, and the Department of Chemistry, University of Maine, Orono, Maine 04469
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Wildman SA, DiLabio GA, Christiansen PA. Accurate relativistic effective potentials for the sixth-row main group elements. J Chem Phys 1997. [DOI: 10.1063/1.475301] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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