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Paul née Matveeva R, Folkestad SD, Sannes BS, Høyvik IM. Particle-Breaking Unrestricted Hartree-Fock Theory for Open Molecular Systems. J Phys Chem A 2024; 128:1533-1542. [PMID: 38351699 PMCID: PMC10910564 DOI: 10.1021/acs.jpca.3c07231] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2023] [Revised: 02/02/2024] [Accepted: 02/02/2024] [Indexed: 03/01/2024]
Abstract
We recently introduced the particle-breaking restricted Hartree-Fock (PBRHF) model, a mean-field approach to address the fractional charging of molecules when they interact with an electronic environment. In this paper, we present an extension of the model referred to as particle-breaking unrestricted Hartree-Fock (PBUHF). The unrestricted formulation contains odd-electron states necessary for a realistic description of fractional charging. Within the PBUHF parametrization, we use two-body operators as they yield convenient operator transformations. However, two-body operators can change only the particle number by two. Therefore, we include noninteracting zero-energy bath orbitals to generate a linear combination of even and odd electron states. Depending on whether the occupied or virtual orbitals of a molecule interact with the environment, the average number of electrons is either decreased or increased. Without interaction, PBUHF reduces to the unrestricted Hartree-Fock wave function.
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Affiliation(s)
- Regina Paul née Matveeva
- Department of Chemistry, The
Norwegian University of Science and Technology, Trondheim 7491, Norway
| | - Sarai Dery Folkestad
- Department of Chemistry, The
Norwegian University of Science and Technology, Trondheim 7491, Norway
| | - Bendik Støa Sannes
- Department of Chemistry, The
Norwegian University of Science and Technology, Trondheim 7491, Norway
| | - Ida-Marie Høyvik
- Department of Chemistry, The
Norwegian University of Science and Technology, Trondheim 7491, Norway
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2
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Nishida M, Akama T, Kobayashi M, Taketsugu T. Time-dependent Hartree–Fock–Bogoliubov method for molecular systems: An alternative excited-state methodology including static electron correlation. Chem Phys Lett 2023. [DOI: 10.1016/j.cplett.2023.140386] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
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3
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Matveeva R, Folkestad SD, Høyvik IM. Particle-Breaking Hartree-Fock Theory for Open Molecular Systems. J Phys Chem A 2023; 127:1329-1341. [PMID: 36720055 PMCID: PMC9923758 DOI: 10.1021/acs.jpca.2c07686] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023]
Abstract
In this work we present the particle-breaking Hartree-Fock (PBHF) model which is a mean-field approach to open molecular systems. The interaction of a system with the environment is parametrized through a particle-breaking term in the molecular Hamiltonian. The PBHF wave function is constructed through an exponential unitary transformation of a Slater determinant with a given number of electrons. We consider only the closed-shell formalism. The parametrization results in a linear combination of Slater determinants with different numbers of electrons, i.e., the PBHF wave function is not an eigenfunction of the number operator. As a result, the density matrix may have fractional occupations which are, because of the unitary parametrization, always between 0.0 and 2.0. The occupations are optimized simultaneously with the orbitals, using the trust-region optimization procedure. In the limit of a particle-conserving Hamiltonian, the PBHF optimization will converge to a standard Hartree-Fock wave function. We show that the average number of electrons may be decreased or increased depending on whether the particle-breaking term affects occupied or virtual orbitals.
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4
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Efremenko I, Martin JML. Coupled Cluster Benchmark of New DFT and Local Correlation Methods: Mechanisms of Hydroarylation and Oxidative Coupling Catalyzed by Ru(II, III) Chloride Carbonyls. J Phys Chem A 2021; 125:8987-8999. [PMID: 34586809 DOI: 10.1021/acs.jpca.1c05124] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We have evaluated a set of accurate canonical CCSD(T) energies for stationary points on the potential energy surface for Ru(II, III) chloride carbonyl catalysis of two competing reactions between benzene and methyl acrylate (MA), namely, hydroarylation and oxidative coupling. We have then applied this set to evaluate the performance of localized orbital coupled-cluster methods and several new and common density functionals. We find that (a) DLPNO-CCSD(T) with TightPNO cutoffs is an acceptable substitute for full canonical CCSD(T) calculations on this system; (b) for the closed-shell systems where it could be applied, LNO-CCSD(T) with tight convergence criteria is very close to the canonical results; (c) the recent ωB97X-V and ωB97M-V functionals exhibit superior performance to commonly used DFT functionals in both closed- and open-shell calculations; (d) the revDSD-PBEP86 revision of the DSD-PBEP86 double hybrid represents an improvement over the original, even though transition metals were not involved in its parametrization; and (e) DSD-SCAN and DOD-SCAN show comparable efficiency. Most tested (meta)-GGA and hybrid density functionals perform better for open-shell than for closed-shell complexes; this is not the case for the double hybrids considered.
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Affiliation(s)
- Irena Efremenko
- Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, 7610001 Rehovot, Israel
| | - Jan M L Martin
- Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, 7610001 Rehovot, Israel
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5
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Duan C, Liu F, Nandy A, Kulik HJ. Data-Driven Approaches Can Overcome the Cost-Accuracy Trade-Off in Multireference Diagnostics. J Chem Theory Comput 2020; 16:4373-4387. [PMID: 32536161 DOI: 10.1021/acs.jctc.0c00358] [Citation(s) in RCA: 27] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
High-throughput computational screening typically employs methods (i.e., density functional theory or DFT) that can fail to describe challenging molecules, such as those with strongly correlated electronic structure. In such cases, multireference (MR) correlated wavefunction theory (WFT) would be the appropriate choice but remains more challenging to carry out and automate than single-reference (SR) WFT or DFT. Numerous diagnostics have been proposed for identifying when MR character is likely to have an effect on the predictive power of SR calculations, but conflicting conclusions about diagnostic performance have been reached on small data sets. We compute 15 MR diagnostics, ranging from affordable DFT-based to more costly MR-WFT-based diagnostics, on a set of 3165 equilibrium and distorted small organic molecules containing up to six heavy atoms. Conflicting MR character assignments and low pairwise linear correlations among diagnostics are also observed over this set. We evaluate the ability of existing diagnostics to predict the percent recovery of the correlation energy, %Ecorr. None of the DFT-based diagnostics are nearly as predictive of %Ecorr as the best WFT-based diagnostics. To overcome the limitation of this cost-accuracy trade-off, we develop machine learning (ML, i.e., kernel ridge regression) models to predict WFT-based diagnostics from a combination of DFT-based diagnostics and a new, size-independent 3D geometric representation. The ML-predicted diagnostics correlate as well with MR effects as their computed (i.e., with WFT) values, significantly improving over the DFT-based diagnostics on which the models were trained. These ML models thus provide a promising approach to improve upon DFT-based diagnostic accuracy while remaining suitably low cost for high-throughput screening.
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Affiliation(s)
- Chenru Duan
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States.,Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Fang Liu
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Aditya Nandy
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States.,Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
| | - Heather J Kulik
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States
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6
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Sylvetsky N, Banerjee A, Alonso M, Martin JML. Performance of Localized Coupled Cluster Methods in a Moderately Strong Correlation Regime: Hückel-Möbius Interconversions in Expanded Porphyrins. J Chem Theory Comput 2020; 16:3641-3653. [PMID: 32338891 PMCID: PMC7304861 DOI: 10.1021/acs.jctc.0c00297] [Citation(s) in RCA: 36] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Abstract
![]()
Localized
orbital coupled cluster theory has recently emerged as
a nonempirical alternative to DFT for large systems. Intuitively,
one might expect such methods to perform less well for highly delocalized
systems. In the present work, we apply both canonical CCSD(T) approximations
and a variety of localized approximations to a set of flexible expanded
porphyrins—macrocycles that can switch between Hückel,
figure-eight, and Möbius topologies under external stimuli.
Both minima and isomerization transition states are considered. We
find that Möbius(-like) structures have much stronger static
correlation character than the remaining structures, and that this
causes significant errors in DLPNO-CCSD(T) and even DLPNO-CCSD(T1) approaches, unless TightPNO cutoffs are employed. If sub-kcal
mol–1 accuracy with respect to canonical relative
energies is required even for Möbius-type systems (or other
systems plagued by strong static correlation), then Nagy and Kallay’s
LNO-CCSD(T) method with “tight” settings is the suitable
localized approach. We propose the present POLYPYR21 data set as a
benchmark for localized orbital methods or, more broadly, for the
ability of lower-level methods to handle energetics with strongly
varying degrees of static correlation.
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Affiliation(s)
- Nitai Sylvetsky
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
| | - Ambar Banerjee
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
| | - Mercedes Alonso
- Department of General Chemistry (ALGC), Vrije Universiteit Brussel (VUB), Pleinlaan 2, 1050 Brussels, Belgium
| | - Jan M L Martin
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
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7
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Li SJ, Gagliardi L, Truhlar DG. Extended separated-pair approximation for transition metal potential energy curves. J Chem Phys 2020; 152:124118. [PMID: 32241117 DOI: 10.1063/5.0003048] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023] Open
Abstract
Developing a computational method that is both affordable and accurate for transition-metal chemistry is a major challenge. The bond dissociation energies and the potential energy curves are two important targets for theoretical prediction. Here, we investigate the performance of multiconfiguration pair-density functional theory (MC-PDFT) based on wave functions calculated by the complete-active-space (CAS) and generalized active space (GAS) self-consistent-field (SCF) methods for three transition-metal diatomics (TiC, TiSi, and WCl) for which accurate bond energies are available from recent experiments. We compare the results to those obtained by CAS second-order perturbation theory (CASPT2) and Kohn-Sham DFT (KS-DFT). We use six systematic methods to choose the active spaces: (1) we put the bonding orbitals, antibonding orbitals, and singly occupied nonbonding orbitals into the active space in the first method; (2) we also put s and p valence orbitals into the active space; we tried two levels of correlated participating orbitals (CPO) active spaces: (3) nominal CPO (nom-CPO) and (4) extended CPO (ext-CPO); and we used (5) the separated-pair (SP) approximation and (6) a new method presented here called extended separate pairs (ESP) approximation to divide the nom-CPO active space into subspaces. Schemes 1-4 are carried out within the CAS framework, and schemes 5 and 6 are carried out in the GAS framework to eliminate deadwood configurations. For TiC and TiSi, we used all six kinds of active spaces. For WCl, we used three active spaces (nom-CPO, SP, and ESP). We found that MC-PDFT performs better than both CASPT2 and KS-DFT. We also found that the SP (for TiSi) and ESP (for TiC and WCl) approximations are particularly appealing because they make the potential curves smoother and significantly decrease the computational cost of CASSCF calculations. Furthermore, ESP-PDFT can be as accurate as CAS-PDFT.
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Affiliation(s)
- Shuhang J Li
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Laura Gagliardi
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Donald G Truhlar
- Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
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8
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Mihálka ZÉ, Surján PR, Szabados Á. Half-Projection of the Strongly Orthogonal Unrestricted Geminals’ Product Wave Function. J Chem Theory Comput 2019; 16:892-903. [DOI: 10.1021/acs.jctc.9b00858] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Zs. É. Mihálka
- Faculty of Science, Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
- Hevesy György Ph.D. School of Chemistry, ELTE, Budapest, Hungary
| | - P. R. Surján
- Faculty of Science, Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | - Á. Szabados
- Faculty of Science, Institute of Chemistry, Laboratory of Theoretical Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
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9
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Zhou C, Zeng C, Ma B, Ying F, Chen Z, Wu W. Novel implementation of seniority number truncated valence bond methods with applications to H22 chain. J Chem Phys 2019; 151:194107. [DOI: 10.1063/1.5123197] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
Affiliation(s)
- Chen Zhou
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Chenyu Zeng
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Bo Ma
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Fuming Ying
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Zhenhua Chen
- Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry, and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Wei Wu
- The State Key Laboratory of Physical Chemistry of Solid Surfaces, iChem and College of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
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10
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Földvári D, Tóth Z, Surján PR, Szabados Á. Geminal perturbation theory based on the unrestricted Hartree-Fock wavefunction. J Chem Phys 2019; 150:034103. [PMID: 30660159 DOI: 10.1063/1.5060731] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A perturbative correction exploiting natural orbitals and the pair function structure of the unrestricted Hartree-Fock (UHF) wavefunction is devised. The method offers a simple framework for describing multireference systems where static correlation is captured by UHF. The UHF wavefunction is built of two-electron fragments (geminals), involving both singlet and triplet (ms = 0) parts. At order zero of the perturbative treatment, configuration interaction coefficients of UHF geminals are relaxed. The zero order Hamiltonian is of the Dyall-type, including explicit two-electron interaction within geminals and leading to a formal 6th power scaling. Adopting an effective one-electron zero order Hamiltonian term for the subset of virtual orbitals reduces scaling of the correction step to 4th power. Formal properties of the proposed schemes are discussed. Energetic data and natural occupation numbers of illustrative test systems are used to assess the new approach. The cases where the wavefunction becomes essentially spin pure at the level of reference show good performance. Spin contamination remaining at order zero is found to undermine the perturbative correction.
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Affiliation(s)
- D Földvári
- Laboratory of Theoretical Chemistry, Faculty of Science, Institute of Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | - Zs Tóth
- Laboratory of Theoretical Chemistry, Faculty of Science, Institute of Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | - P R Surján
- Laboratory of Theoretical Chemistry, Faculty of Science, Institute of Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
| | - Á Szabados
- Laboratory of Theoretical Chemistry, Faculty of Science, Institute of Chemistry, ELTE Eötvös Loránd University, Budapest, Hungary
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11
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Kesharwani MK, Sylvetsky N, Köhn A, Tew DP, Martin JML. Do CCSD and approximate CCSD-F12 variants converge to the same basis set limits? The case of atomization energies. J Chem Phys 2018; 149:154109. [PMID: 30342453 DOI: 10.1063/1.5048665] [Citation(s) in RCA: 35] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
While the title question is a clear "yes" from purely theoretical arguments, the case is less clear for practical calculations with finite (one-particle) basis sets. To shed further light on this issue, the convergence to the basis set limit of CCSD (coupled cluster theory with all single and double excitations) and of different approximate implementations of CCSD-F12 (explicitly correlated CCSD) has been investigated in detail for the W4-17 thermochemical benchmark. Near the CBS ([1-particle] complete basis set) limit, CCSD and CCSD(F12*) agree to within their respective uncertainties (about ±0.04 kcal/mol) due to residual basis set incompleteness error, but a nontrivial difference remains between CCSD-F12b and CCSD(F12*), which is roughly proportional to the degree of static correlation. The observed basis set convergence behavior results from the superposition of a rapidly converging, attractive, CCSD[F12]-CCSD-F12b difference (consisting mostly of third-order terms) and a more slowly converging, repulsive, fourth-order difference between CCSD(F12*) and CCSD[F12]. For accurate thermochemistry, we recommend CCSD(F12*) over CCSD-F12b if at all possible. There are some indications that the nZaPa family of basis sets exhibits somewhat smoother convergence than the correlation consistent family.
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Affiliation(s)
- Manoj K Kesharwani
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
| | - Nitai Sylvetsky
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
| | - Andreas Köhn
- Institute for Theoretical Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - David P Tew
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Jan M L Martin
- Department of Organic Chemistry, Weizmann Institute of Science, 76100 Reḥovot, Israel
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12
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Tsuchimochi T, Ten-no S. General technique for analytical derivatives of post-projected Hartree-Fock. J Chem Phys 2017; 146:074104. [DOI: 10.1063/1.4976145] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Affiliation(s)
- Takashi Tsuchimochi
- Graduate School of Science, Technology, and Innovation, Kobe University, Kobe, Hyogo 657-0025, Japan
| | - Seiichiro Ten-no
- Graduate School of Science, Technology, and Innovation, Kobe University, Kobe, Hyogo 657-0025, Japan
- Graduate School of System Informatics, Kobe University, Kobe, Hyogo 657-0025, Japan
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13
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Gagliardi L, Truhlar DG, Li Manni G, Carlson RK, Hoyer CE, Bao JL. Multiconfiguration Pair-Density Functional Theory: A New Way To Treat Strongly Correlated Systems. Acc Chem Res 2017; 50:66-73. [PMID: 28001359 DOI: 10.1021/acs.accounts.6b00471] [Citation(s) in RCA: 193] [Impact Index Per Article: 27.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Abstract
The electronic energy of a system provides the Born-Oppenheimer potential energy for internuclear motion and thus determines molecular structure and spectra, bond energies, conformational energies, reaction barrier heights, and vibrational frequencies. The development of more efficient and more accurate ways to calculate the electronic energy of systems with inherently multiconfigurational electronic structure is essential for many applications, including transition metal and actinide chemistry, systems with partially broken bonds, many transition states, and most electronically excited states. Inherently multiconfigurational systems are called strongly correlated systems or multireference systems, where the latter name refers to the need for using more than one ("multiple") configuration state function to provide a good zero-order reference wave function. This Account describes multiconfiguration pair-density functional theory (MC-PDFT), which was developed as a way to combine the advantages of wave function theory (WFT) and density functional theory (DFT) to provide a better treatment of strongly correlated systems. First we review background material: the widely used Kohn-Sham DFT (which uses only a single Slater determinant as reference wave function), multiconfiguration WFT methods that treat inherently multiconfigurational systems based on an active space, and previous attempts to combine multiconfiguration WFT with DFT. Then we review the formulation of MC-PDFT. It is a generalization of Kohn-Sham DFT in that the electron kinetic energy and classical electrostatic energy are calculated from a reference wave function, while the rest of the energy is obtained from a density functional. However, there are two main differences with respent to Kohn-Sham DFT: (i) The reference wave function is multiconfigurational rather than being a single Slater determinant. (ii) The density functional is a function of the total density and the on-top pair density rather than being a function of the spin-up and spin-down densities. In work carried out so far, the multiconfigurational wave function is a multiconfiguration self-consistent-field wave function. The new formulation has the advantage that the reference wave function has the correct spatial and spin symmetry and can describe bond dissociation (of both single and multiple bonds) and electronic excitations in a formally and physically correct way. We then review the formulation of density functionals in terms of the on-top pair density. Finally we review successful applications of the theory to bond energies and bond dissociation potential energy curves of main-group and transition metal bonds, to barrier heights (including pericyclic reactions), to proton affinities, to the hydrogen bond energy of water dimer, to ground- and excited-state charge transfer, to valence and Rydberg excitations of molecules, and to singlet-triplet splittings of radicals. We find that that MC-PDFT can give accurate results not only with complete-active-space multiconfiguration wave functions but also with generalized-active-space multiconfiguration wave functions, which are practical for larger numbers of active electrons and active orbitals than are complete-active-space wave functions. The separated-pair approximation, which is a special case of generalized active space self-consistent-field theory, is especially promising. MC-PDFT, because it requires much less computer time and storage than pure WFT methods, has the potential to open larger and more complex strongly correlated systems to accurate simulation.
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Affiliation(s)
- Laura Gagliardi
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Donald G. Truhlar
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Giovanni Li Manni
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Rebecca K. Carlson
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Chad E. Hoyer
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
| | - Junwei Lucas Bao
- Department of Chemistry,
Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, United States
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14
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Tsuchimochi T, Ten-no S. Black-Box Description of Electron Correlation with the Spin-Extended Configuration Interaction Model: Implementation and Assessment. J Chem Theory Comput 2016; 12:1741-59. [DOI: 10.1021/acs.jctc.6b00137] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takashi Tsuchimochi
- Graduate School of System
Informatics, Kobe University, Kobe 657-8501, Japan
| | - Seiichiro Ten-no
- Graduate School of System
Informatics, Kobe University, Kobe 657-8501, Japan
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15
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Tsuchimochi T, Ten-no S. Communication: Configuration interaction combined with spin-projection for strongly correlated molecular electronic structures. J Chem Phys 2016; 144:011101. [DOI: 10.1063/1.4939585] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Affiliation(s)
- Takashi Tsuchimochi
- Graduate School of System Informatics, Kobe University, Kobe 657-8501, Japan
| | - Seiichiro Ten-no
- Graduate School of System Informatics, Kobe University, Kobe 657-8501, Japan
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16
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Affiliation(s)
- Zhenhua Chen
- The State Key Laboratory
of Physical Chemistry of Solid Surfaces, iChEM, Fujian Provincial
Key Laboratory of Theoretical and Computational Chemistry and College
of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Chen Zhou
- The State Key Laboratory
of Physical Chemistry of Solid Surfaces, iChEM, Fujian Provincial
Key Laboratory of Theoretical and Computational Chemistry and College
of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
| | - Wei Wu
- The State Key Laboratory
of Physical Chemistry of Solid Surfaces, iChEM, Fujian Provincial
Key Laboratory of Theoretical and Computational Chemistry and College
of Chemistry and Chemical Engineering, Xiamen University, Xiamen, Fujian 361005, China
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17
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Phillips JJ, Zgid D. Communication: The description of strong correlation within self-consistent Green's function second-order perturbation theory. J Chem Phys 2014; 140:241101. [DOI: 10.1063/1.4884951] [Citation(s) in RCA: 77] [Impact Index Per Article: 7.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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18
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Boguslawski K, Tecmer P, Limacher PA, Johnson PA, Ayers PW, Bultinck P, De Baerdemacker S, Van Neck D. Projected seniority-two orbital optimization of the antisymmetric product of one-reference orbital geminal. J Chem Phys 2014; 140:214114. [PMID: 24907997 DOI: 10.1063/1.4880820] [Citation(s) in RCA: 58] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/02/2023] Open
Affiliation(s)
- Katharina Boguslawski
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paweł Tecmer
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Peter A. Limacher
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paul A. Johnson
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Paul W. Ayers
- Department of Chemistry and Chemical Biology, McMaster University, Hamilton, 1280 Main Street West, Ontario L8S 4M1, Canada
| | - Patrick Bultinck
- Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium
| | - Stijn De Baerdemacker
- Center for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, Belgium
| | - Dimitri Van Neck
- Center for Molecular Modelling, Ghent University, Technologiepark 903, 9052 Gent, Belgium
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Kobayashi M. Gradient of molecular Hartree–Fock–Bogoliubov energy with a linear combination of atomic orbital quasiparticle wave functions. J Chem Phys 2014; 140:084115. [DOI: 10.1063/1.4866796] [Citation(s) in RCA: 4] [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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20
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Martin JM. The eight-valence-electron systems re-examined: convergence of the coupled-cluster series and performance of quasiperturbative methods for quadruple excitations. Mol Phys 2013. [DOI: 10.1080/00268976.2013.861526] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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21
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Scuseria GE, Henderson TM, Bulik IW. Particle-particle and quasiparticle random phase approximations: Connections to coupled cluster theory. J Chem Phys 2013; 139:104113. [DOI: 10.1063/1.4820557] [Citation(s) in RCA: 63] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
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22
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Fogueri UR, Kozuch S, Karton A, Martin JML. A simple DFT-based diagnostic for nondynamical correlation. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1291-y] [Citation(s) in RCA: 94] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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23
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Variational grand-canonical electronic structure of Li+Li at ~104 K with second-order perturbation theory corrections. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1113-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Bytautas L, Matsunaga N, Scuseria GE, Ruedenberg K. Accurate Potential Energy Curve for B2. Ab Initio Elucidation of the Experimentally Elusive Ground State Rotation-Vibration Spectrum. J Phys Chem A 2012; 116:1717-29. [DOI: 10.1021/jp210473e] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Laimutis Bytautas
- Department of Chemistry, Rice University, Houston, Texas 77005, United States
| | - Nikita Matsunaga
- Department of Chemistry and Biochemistry, Long Island University, Brooklyn, New York 11201, United States
| | - Gustavo E. Scuseria
- Department of Chemistry, Rice University, Houston, Texas 77005, United States
- Department of Physics and Astronomy, Rice University, Houston, Texas 77005, United States
- Chemistry Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
| | - Klaus Ruedenberg
- Department of Chemistry and Ames Laboratory USDOE, Iowa State University, Ames, Iowa 50011, United States
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Scuseria GE, Jiménez-Hoyos CA, Henderson TM, Samanta K, Ellis JK. Projected quasiparticle theory for molecular electronic structure. J Chem Phys 2011; 135:124108. [DOI: 10.1063/1.3643338] [Citation(s) in RCA: 133] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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26
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Wang J, Kim KS, Baerends EJ. Electron pair density in the lowest 1Σ(u)(+) and 1Σ(g)(+) states of H2. J Chem Phys 2011; 135:074111. [PMID: 21861560 DOI: 10.1063/1.3624571] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023] Open
Abstract
We demonstrate and advocate the use of observable quantities derived from the two-electron reduced density matrix - pair densities, conditional densities, and exchange-correlation holes--as signatures of the type of electron correlation in a chemical bond. The prototype cases of the lowest (1)Σ(u)(+) and (1)Σ(g)(+) states of H(2), which exhibit large variation in types of bonding, ranging from strongly ionic to covalent, are discussed. Both the excited (1)Σ(g)(+) and (1)Σ(u)(+) states have been interpreted as essentially consisting of (natural) orbital configurations with an inner electron in a contracted 1sσ(g) orbital and an outer electron in a diffuse (united atom type, Rydberg) orbital. We show that nevertheless totally different correlation behavior is encountered in various states when comparing them at a common internuclear distance. Also when following one state along the internuclear distance coordinate, strong variation in correlation behavior is observed, as expected. Switches between ionic to covalent character of a state occur till very large distances (40 bohrs for states approaching the 1s3[script-l] asymptotic limit, and 282 bohrs for states approaching the 1s4[script-l] limit).
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Affiliation(s)
- Jian Wang
- School of Science, Huzhou University, Zhejiang 10083, China.
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Bytautas L, Henderson TM, Jiménez-Hoyos CA, Ellis JK, Scuseria GE. Seniority and orbital symmetry as tools for establishing a full configuration interaction hierarchy. J Chem Phys 2011; 135:044119. [DOI: 10.1063/1.3613706] [Citation(s) in RCA: 108] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Jiménez-Hoyos CA, Henderson TM, Scuseria GE. Generalized Hartree–Fock Description of Molecular Dissociation. J Chem Theory Comput 2011; 7:2667-74. [DOI: 10.1021/ct200345a] [Citation(s) in RCA: 55] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Affiliation(s)
- Carlos A. Jiménez-Hoyos
- Department of Chemistry, Rice University, 6100 Main Street, Houston, Texas 77005, United States
| | - Thomas M. Henderson
- Department of Chemistry, Rice University, 6100 Main Street, Houston, Texas 77005, United States
- Department of Physics and Astronomy, Rice University, 6100 Main Street, Houston, Texas 77005, United States
| | - Gustavo E. Scuseria
- Department of Chemistry, Rice University, 6100 Main Street, Houston, Texas 77005, United States
- Department of Physics and Astronomy, Rice University, 6100 Main Street, Houston, Texas 77005, United States
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Ellis JK, Jiménez-Hoyos CA, Henderson TM, Tsuchimochi T, Scuseria GE. Constrained-pairing mean-field theory. V. Triplet pairing formalism. J Chem Phys 2011; 135:034112. [DOI: 10.1063/1.3610650] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Tsuchimochi T, Scuseria GE. Constrained active space unrestricted mean-field methods for controlling spin-contamination. J Chem Phys 2011; 134:064101. [DOI: 10.1063/1.3549134] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Tsuchimochi T, Henderson TM, Scuseria GE, Savin A. Constrained-pairing mean-field theory. IV. Inclusion of corresponding pair constraints and connection to unrestricted Hartree–Fock theory. J Chem Phys 2010; 133:134108. [DOI: 10.1063/1.3490478] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Piris M, Matxain JM, Lopez X, Ugalde JM. Communication: The role of the positivity N-representability conditions in natural orbital functional theory. J Chem Phys 2010; 133:111101. [DOI: 10.1063/1.3481578] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Giesbertz KJH, Baerends EJ. Aufbau derived from a unified treatment of occupation numbers in Hartree–Fock, Kohn–Sham, and natural orbital theories with the Karush–Kuhn–Tucker conditions for the inequality constraints ni≤1 and ni≥0. J Chem Phys 2010; 132:194108. [DOI: 10.1063/1.3426319] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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35
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Tsuchimochi T, Scuseria GE, Savin A. Constrained-pairing mean-field theory. III. Inclusion of density functional exchange and correlation effects via alternative densities. J Chem Phys 2010; 132:024111. [DOI: 10.1063/1.3292640] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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