1
|
Xi ZK, Ding YH, Tian X. Building a New Platform for Significantly Improving Performance of Hartree-Fock and CCSD(T) Correlation Energy Based on Two-Point Complete Basis Set Extrapolation Schemes. J Phys Chem A 2024. [PMID: 38686765 DOI: 10.1021/acs.jpca.4c01712] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/02/2024]
Abstract
The leading cause of high expense in gold standard coupled cluster theory is that calculations of electronic energies converge exceedingly slowly with an increased basis set size. Extrapolation principally allows for achieving higher-quality outcomes at reduced costs. Numerous extrapolation formulas have been developed, with attempts to predict energies up to the complete basis set limit. Unfortunately, since the intricate shape of the function hinges on the molecular properties with the highest angular momentum of the basis set, the accuracy of the extrapolated energies highly depends on the fitted empirical parameters, which rely on the quality of the data sets for fitting. In this work, to overcome the extrapolation deficiency caused by the very limited data sets and smaller basis sets in the early stages, we constructed a new benchmark platform that includes a broader data set of 183 species (containing open-shell, closed-shell, ionic, and neutral species) and a larger basis set up to aug-cc-pV6Z. The newly optimized parameters can significantly improve the energy-predictive abilities of ten published formulas. Notably, all ten formulas perform quite similarly under the new platform with the reoptimized parameters. Finally, we built an online calculator for researchers to use for these extrapolation schemes. Our work would reignite the interest and applications of the underestimated formulas.
Collapse
Affiliation(s)
- Zhao-Kai Xi
- †Key Laboratory of Carbon Materials of Zhejiang Province, Wenzhou Key Lab of Advanced Energy Storage and Conversion, Zhejiang Province Key Lab of Leather Engineering, College of Chemistry and Materials Engineering, Wenzhou University, Wenzhou 325035, P. R. China
| | - Yi-Hong Ding
- Key Laboratory of Carbon Materials of Zhejiang Province, Wenzhou Key Lab of Advanced Energy Storage and Conversion, Zhejiang Province Key Lab of Leather Engineering, College of Chemistry and Materials Engineering, Wenzhou University, Wenzhou 325035, P. R. China
- Institute of Theoretical Chemistry, Jilin University, Changchun 130023, P. R. China
| | - Xiao Tian
- School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, P. R. China
| |
Collapse
|
2
|
Jensen F. Basis Set Extrapolation of Vibrational Frequencies. J Phys Chem A 2023; 127:2859-2863. [PMID: 36943253 DOI: 10.1021/acs.jpca.3c00064] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/23/2023]
Abstract
We investigate three different approaches for extrapolating harmonic vibrational frequencies to the complete basis set limit, by direct extrapolation of the frequencies, by calculation of frequencies based on extrapolated Hessians, or based on the Hessian from optimization of the extrapolated energy surface. For regular molecules, the three extrapolation procedures yield essentially identical results, but for loosely bound complexes, the frequencies derived from extrapolated Hessians yield unpredictable behavior. None of the basis set extrapolations, however, provide any significant improvement over the results upon which the extrapolation is based.
Collapse
Affiliation(s)
- Frank Jensen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| |
Collapse
|
3
|
Bakowies D. ATOMIC-2 Protocol for Thermochemistry. J Chem Theory Comput 2022; 18:4142-4163. [PMID: 35658473 DOI: 10.1021/acs.jctc.1c01272] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
ATOMIC is a midlevel thermochemistry protocol that uses Pople's concept of bond separation reactions (BSRs) as a theoretical framework to reduce computational demands in the evaluation of atomization energies and enthalpies of formation. Various composite models are available that approximate bond separation energies at the complete-basis-set limit of all-electron CCSD(T), each balancing computational cost with achievable accuracy. Evaluated energies are then combined with very high-level, precomputed atomization energies of all auxiliary molecules appearing in the BSR to obtain the atomization energy of the molecule under study. ATOMIC-2 is a new version of the protocol that retains the overall concept and all previously defined composite models but improves on ATOMIC-1 in various other ways: Geometry optimization and zero-point-energy evaluation are performed at the density functional level (PBE0-D3/6-311G(d)), which shows significant computational savings and better accuracy than the previously employed RI-MP2/cc-pVTZ. The BSR framework is improved, using more accurate complete-basis-set (CBS) extrapolations toward the Full CI limit for the atomization energies of all auxiliary molecules. Finally, and most importantly, an error and uncertainty model termed ATOMIC-2um is added that estimates average bias and uncertainty for each of the atomization energy contributions that arise from the simplified treatment of some contributions to bond separation energies (CCSD(T)) and the neglect of others (such as higher order, scalar relativistic, or diagonal Born-Oppenheimer corrections) or from residual error in the energies of auxiliary molecules. Large and diverse benchmarks including up to 1179 molecules are used to evaluate necessary reference data and to correlate the observed error for each of the contributions with appropriate proxies that are available without additional quantum-chemical calculations for a particular molecule and represent its size and type. The implementation of ATOMIC-2 considers neutral, closed-shell molecules containing H, C, N, O, and F atoms; compared to ATOMIC-1, the framework has been extended to cover a few challenging but rare bond topologies. In comparison to highly accurate reference data for 184 molecules taken from the ATcT database (V. 1.122r), regular ATOMIC-2 shows noticeable underbinding, but the bias-corrected protocol ATOMIC-2um is found to be more accurate than either ATOMIC-1 or standard Gaussian-4 theory, and the uncertainty model is consistent with statistics of actually observed errors. Problems arising from ambiguous or challenging Lewis-valence structures defining BSRs are discussed, and computational efficiency is demonstrated. Computer code is made available to perform ATOMIC-2um analyses.
Collapse
Affiliation(s)
- Dirk Bakowies
- Institute of Physical Chemistry, Department of Chemistry, University of Basel, Klingelbergstraße 80, CH 4056 Basel, Switzerland
| |
Collapse
|
4
|
Varandas AJC. Post-complete-basis-set extrapolation of conventional and explicitly correlated coupled-cluster energies: can the convergence to the CBS limit be diagnosed? Phys Chem Chem Phys 2021; 23:8717-8730. [PMID: 33876031 DOI: 10.1039/d1cp00538c] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We assess benchmark correlation energies for 130 systems in test sets A24 and TS-106 both with the canonical CCSD(T) and explicitly correlated CCSD(T)-F12 methods. Aiming at enhanced accuracy, the calculated raw energies from both sets are CBS extrapolated to the complete basis set (CBS) limit and subsequently post-CBS extrapolated. Attention is focused at total energies, since their accuracy reflects on that of the interaction energies. Using up to triple-ζ basis sets for CBS and an additional quadruple-ζ for post-CBS, the mean and standard unsigned deviations with canonical CCSD(T) theory are 0.257 ± 0.25 kcal mol-1, while the corresponding values for CCSD(T)-F12 in its F12a and F12b variants with specialized basis sets up to VQZ-F12 are 0.170 ± 0.13 kcal mol-1 and 0.048 ± 0.04 kcal mol-1. Although these show gains at post-CBS level that vary from 0.08 to 0.20 kcal mol-1 relative to their CCSD(T)/VXZ analogues, the convergence is somewhat less clear when extending the basis up to V5Z-F12, the highest-rung available: 0.220 ± 0.17 kcal mol-1 and 0.142 ± 0.08 kcal mol-1, in the same order. An explanation for the up to one order of magnitude smaller deviations in energy differences is detailed. Based on energy differences involving basis set pairs employed for extrapolating to the CBS limit, a convergence diagnostic is also suggested. Arising from irregularities in the basis set that directly correlate with non-dynamical correlation, the new diagnostic may complement popular ones that feature other aspects of correlation.
Collapse
Affiliation(s)
- A J C Varandas
- School of Physics and Physical Engineering, Qufu Normal University, 273165 Qufu, China
| |
Collapse
|
5
|
Sorathia K, Tew DP. Basis set extrapolation in pair natural orbital theories. J Chem Phys 2020; 153:174112. [PMID: 33167642 DOI: 10.1063/5.0022077] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present the results of a benchmark study of the effect of Pair Natural Orbital (PNO) truncation errors on the performance of basis set extrapolation. We find that reliable conclusions from the application of Helgaker's extrapolation method are only obtained when using tight PNO thresholds of at least 10-7. The use of looser thresholds introduces a significant risk of observing a false basis set convergence and underestimating the residual basis set errors. We propose an alternative extrapolation approach based on the PNO truncation level that only requires a single basis set and show that it is a viable alternative to hierarchical basis set extrapolation methods.
Collapse
Affiliation(s)
- Kesha Sorathia
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, GermanyUniversity of Oxford, South Parks Road, Oxford OX1 3QZ, United Kingdom
| | - David P Tew
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, 70569 Stuttgart, Germany
| |
Collapse
|
6
|
Karton A. Effective basis set extrapolations for CCSDT, CCSDT(Q), and CCSDTQ correlation energies. J Chem Phys 2020; 153:024102. [PMID: 32668917 DOI: 10.1063/5.0011674] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
It is well established that extrapolating the coupled-cluster single double triple [CCSD and (T)] correlation energies using empirically motivated extrapolation exponents can accelerate the basis set convergence. Here, we consider the extrapolation of coupled-cluster expansion terms beyond the CCSD(T) level to the complete basis set (CBS) limit. We obtain reference CCSDT-CCSD(T) [T3-(T)], CCSDT(Q)-CCSDT [(Q)], and CCSDTQ-CCSDT(Q) [T4-(Q)] contributions from cc-pV{5,6}Z extrapolations for a diverse set of 16 first- and second-row systems. We use these basis-set limit results to fit extrapolation exponents in conjunction with the cc-pV{D,T}Z, cc-pV{T,Q}Z, and cc-pV{Q,5}Z basis set pairs. The optimal extrapolation exponents result in noticeable improvements in performance (relative to α = 3.0) in conjunction with the cc-pV{T,Q}Z basis set pair; however, smaller improvements are obtained for the other basis sets. These results confirm that the basis sets and basis set extrapolations used for obtaining post-CCSD(T) components in composite thermochemical theories such as Weizmann-4 and HEAT are sufficiently close to the CBS limit for attaining sub-kJ/mole accuracy. The fitted extrapolation exponents demonstrate that the T3-(T) correlation component converges more slowly to the CBS limit than the (Q) and T4 terms. A systematic investigation of the effect of diffuse functions shows that it diminishes (i) in the order T3-(T) > (Q) > T4-(Q) and (ii) with the size of the basis set. Importantly, we find that diffuse functions tend to systematically reduce the T3-(T) contribution but systematically increases the (Q) contribution. Thus, the use of the cc-pVnZ basis sets benefits from a certain degree of error cancellation between these two components.
Collapse
Affiliation(s)
- Amir Karton
- School of Molecular Sciences, The University of Western Australia, Perth, WA 6009, Australia
| |
Collapse
|
7
|
Bakowies D. Estimating Systematic Error and Uncertainty in Ab Initio Thermochemistry. I. Atomization Energies of Hydrocarbons in the ATOMIC(hc) Protocol. J Chem Theory Comput 2019; 15:5230-5251. [DOI: 10.1021/acs.jctc.9b00343] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dirk Bakowies
- Institute of Physical Chemistry, Department of Chemistry, University of Basel, Klingelbergstr. 80, CH 4056 Basel, Switzerland
| |
Collapse
|
8
|
Nudejima T, Ikabata Y, Seino J, Yoshikawa T, Nakai H. Machine-learned electron correlation model based on correlation energy density at complete basis set limit. J Chem Phys 2019; 151:024104. [DOI: 10.1063/1.5100165] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
Affiliation(s)
- Takuro Nudejima
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Yasuhiro Ikabata
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Junji Seino
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
| | - Takeshi Yoshikawa
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
| | - Hiromi Nakai
- Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, Katsura, Kyoto 615-8520, Japan
| |
Collapse
|
9
|
Varandas AJC, Pansini FNN. Optimal basis sets for CBS extrapolation of the correlation energy: oVxZ and oV(x+d)Z. J Chem Phys 2019; 150:154106. [PMID: 31005101 DOI: 10.1063/1.5080512] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We seek correlation consistent double- and triple-zeta basis sets that perform optimally for extrapolating the correlation energy to the one-electron complete basis set limit. Since the methods used are approximate, the novel basis sets become method specific in the sense of performing best for the chosen level of theory. Such basis sets are also shown to perform accurately for tensorial properties and do not significantly alter the Hartree-Fock energy. Quantitatively, the extrapolated correlation energies from (oVdZ, oVtZ) outperform typically by three- to fivefold those obtained from traditional ansatzes with similar flexibility, thus being (VtZ, VqZ) type or even better. They may even outperform explicitly correlated ones. Not surprisingly, the outperformance in relative energies (e.g., atomization and dissociation energies, and ionization potential) is somewhat downscaled, albeit consistently better than with traditional basis sets. As a case study, we also consider the polarizability of p-nitroaniline, a sizeable system for which complete basis set (CBS)(oVdZ, oVtZ) calculations are shown to outperform equally expensive CBS(VdZ, VtZ) results.
Collapse
Affiliation(s)
- A J C Varandas
- School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China and Coimbra Chemistry Centre and Chemistry Department, University of Coimbra, Coimbra 3004-535, Portugal
| | - F N N Pansini
- Departamento de Física, Universidade Federal do Espírito Santo, Vitória 29075-910, Brazil
| |
Collapse
|
10
|
Varandas AJC. CBS extrapolation of Hartree-Fock energy: Pople and Dunning basis sets hand-to-hand on the endeavour. Phys Chem Chem Phys 2019; 21:8022-8034. [PMID: 30932108 DOI: 10.1039/c8cp07847e] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The Hartree-Fock (HF) energy is shown to be extrapolatable from subminimal, minimal, and extended basis sets. Unprecedentedly, it can be reliably extrapolated to the complete basis set limit (CBS) from as small as Pople's STO-2G up to the largest aug-cc-pVXZ basis sets of Dunning's correlation-consistent type and even more complete variants of such ansatzes. The approach is tested on a panoply of small, medium and large molecular systems. As a case study, extrapolation is shown to be particularly reliable and cost-effective (typically an order of magnitude more economical for similar accuracy) when employing a hybrid (STO-2G,extended) basis set pair. The additional cost relative to a single-point calculation with the extended basis set is of no significance. After training the novel scheme with a meager set of 18 systems (TS-18), four test sets covering from neutrals (TS-105) to neutrals plus cations (TS-26) and anions (TS-17), these involving up to third-row elements, as well as tetrapeptide conformers (TS-10) were utilized for its validation. Although the answer to the question of whether all basis sets converge to the same HF/CBS limit is a clear yes, that of whether they show the same convergence rate is open, an issue also examined in the present work. For systems involving atoms up to the second-row of the periodic table the answer seems to be a clear yes, at least when using correlation-consistent basis sets, but it is shown to be a no when the study is extended to anionic systems containing third-row elements. For the latter, augmented correlation consistent basis sets display a faster, perhaps optimal, convergence rate. The implications of this in practice can hardly be anticipated. For example, it cannot be predicted a priori which of such basis sets will yield the best relative energies for those anions, although a logical expectation suggests it to be the augmented ones which turn out to display the fastest convergence. As a blind-test type illustration, the novel scheme is applied to the conformational analysis of 2 tetrapeptides with 5 conformers each, using from subminimal up to extended basis sets as large as cc-pV5Z and aug-cc-pVQZ. The (STO-2G,extended) results so obtained are predicted to be in very good agreement with the best data reported thus far.
Collapse
Affiliation(s)
- A J C Varandas
- School of Physics and Physical Engineering, Qufu Normal University, 273165 Qufu, China
| |
Collapse
|
11
|
Ghafarian Shirazi R, Neese F, Pantazis DA. Accurate Spin-State Energetics for Aryl Carbenes. J Chem Theory Comput 2018; 14:4733-4746. [DOI: 10.1021/acs.jctc.8b00587] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Reza Ghafarian Shirazi
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Frank Neese
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| | - Dimitrios A. Pantazis
- Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany
| |
Collapse
|
12
|
Varandas AJC. Straightening the Hierarchical Staircase for Basis Set Extrapolations: A Low-Cost Approach to High-Accuracy Computational Chemistry. Annu Rev Phys Chem 2018; 69:177-203. [PMID: 29394151 DOI: 10.1146/annurev-physchem-050317-021148] [Citation(s) in RCA: 52] [Impact Index Per Article: 8.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Because the one-electron basis set limit is difficult to reach in correlated post-Hartree-Fock ab initio calculations, the low-cost route of using methods that extrapolate to the estimated basis set limit attracts immediate interest. The situation is somewhat more satisfactory at the Hartree-Fock level because numerical calculation of the energy is often affordable at nearly converged basis set levels. Still, extrapolation schemes for the Hartree-Fock energy are addressed here, although the focus is on the more slowly convergent and computationally demanding correlation energy. Because they are frequently based on the gold-standard coupled-cluster theory with single, double, and perturbative triple excitations [CCSD(T)], correlated calculations are often affordable only with the smallest basis sets, and hence single-level extrapolations from one raw energy could attain maximum usefulness. This possibility is examined. Whenever possible, this review uses raw data from second-order Møller-Plesset perturbation theory, as well as CCSD, CCSD(T), and multireference configuration interaction methods. Inescapably, the emphasis is on work done by the author's research group. Certain issues in need of further research or review are pinpointed.
Collapse
Affiliation(s)
- António J C Varandas
- Coimbra Chemistry Center and Department of Chemistry, University of Coimbra, Coimbra 3004-535, Portugal;
| |
Collapse
|
13
|
Varandas AJC. CBS extrapolation in electronic structure pushed to the end: a revival of minimal and sub-minimal basis sets. Phys Chem Chem Phys 2018; 20:22084-22098. [DOI: 10.1039/c8cp02932f] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Abstract
The complete basis set (CBS) limit is secluded in calculations of electronic structure, and hence CBS extrapolation draws immediate attention.
Collapse
Affiliation(s)
- A. J. C. Varandas
- School of Physics and Physical Engineering
- Qufu Normal University
- 273165 Qufu
- China
- Departamento de Química, and Centro de Química
| |
Collapse
|
14
|
Yu X, Hou H, Wang B. Double-Layered Composite Methods Extrapolating to Complete Basis-Set Limit for the Systems Involving More than Ten Heavy Atoms: Application to the Reaction of Heptafluoroisobutyronitrile with Hydroxyl Radical. J Phys Chem A 2017; 121:9020-9032. [DOI: 10.1021/acs.jpca.7b08844] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xiaojuan Yu
- College of Chemistry and
Molecular Sciences, Wuhan University, Wuhan 430072, People’s Republic of China
| | - Hua Hou
- College of Chemistry and
Molecular Sciences, Wuhan University, Wuhan 430072, People’s Republic of China
| | - Baoshan Wang
- College of Chemistry and
Molecular Sciences, Wuhan University, Wuhan 430072, People’s Republic of China
| |
Collapse
|
15
|
Affiliation(s)
- Balazs Nagy
- Department of Chemistry; Aarhus University; Aarhus Denmark
| | - Frank Jensen
- Department of Chemistry; Aarhus University; Aarhus Denmark
| |
Collapse
|
16
|
dos Reis TM, Neto AC, Martins Campos MC. Gaussian basis sets for atomic and molecular calculations obtained from stochastic optimization. COMPUT THEOR CHEM 2017. [DOI: 10.1016/j.comptc.2016.11.026] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
|
17
|
Seino J, Nakai H. Informatics‐Based Energy Fitting Scheme for Correlation Energy at Complete Basis Set Limit. J Comput Chem 2016; 37:2304-15. [DOI: 10.1002/jcc.24455] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/08/2016] [Revised: 05/27/2016] [Accepted: 07/02/2016] [Indexed: 11/09/2022]
Affiliation(s)
- Junji Seino
- Research Institute for Science and Engineering, Waseda University3‐4‐1 OkuboShinjuku‐Ku Tokyo169‐8555 Japan
| | - Hiromi Nakai
- Research Institute for Science and Engineering, Waseda University3‐4‐1 OkuboShinjuku‐Ku Tokyo169‐8555 Japan
- Department of Chemistry and Biochemistry, School of Advanced Science and EngineeringWaseda University3‐4‐1 OkuboShinjuku‐Ku Tokyo169‐8555 Japan
- CREST, Japan Science and Technology Agency7 GobanchoChiyoda‐Ku Tokyo102‐0076 Japan
- Kyotodaigaku‐KatsuraESICB, Kyoto UniversityNishigyoku Kyoto615‐8520 Japan
| |
Collapse
|
18
|
Richard RM, Marshall MS, Dolgounitcheva O, Ortiz JV, Brédas JL, Marom N, Sherrill CD. Accurate Ionization Potentials and Electron Affinities of Acceptor Molecules I. Reference Data at the CCSD(T) Complete Basis Set Limit. J Chem Theory Comput 2016; 12:595-604. [PMID: 26731487 DOI: 10.1021/acs.jctc.5b00875] [Citation(s) in RCA: 59] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In designing organic materials for electronics applications, particularly for organic photovoltaics (OPV), the ionization potential (IP) of the donor and the electron affinity (EA) of the acceptor play key roles. This makes OPV design an appealing application for computational chemistry since IPs and EAs are readily calculable from most electronic structure methods. Unfortunately reliable, high-accuracy wave function methods, such as coupled cluster theory with single, double, and perturbative triples [CCSD(T)] in the complete basis set (CBS) limit are too expensive for routine applications to this problem for any but the smallest of systems. One solution is to calibrate approximate, less computationally expensive methods against a database of high-accuracy IP/EA values; however, to our knowledge, no such database exists for systems related to OPV design. The present work is the first of a multipart study whose overarching goal is to determine which computational methods can be used to reliably compute IPs and EAs of electron acceptors. This part introduces a database of 24 known organic electron acceptors and provides high-accuracy vertical IP and EA values expected to be within ±0.03 eV of the true non-relativistic, vertical CCSD(T)/CBS limit. Convergence of IP and EA values toward the CBS limit is studied systematically for the Hartree-Fock, MP2 correlation, and beyond-MP2 coupled cluster contributions to the focal point estimates.
Collapse
Affiliation(s)
- Ryan M Richard
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
| | - Michael S Marshall
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
| | - O Dolgounitcheva
- Department of Chemistry and Biochemistry, Auburn University , Auburn, Alabama 36849-5312, United States
| | - J V Ortiz
- Department of Chemistry and Biochemistry, Auburn University , Auburn, Alabama 36849-5312, United States
| | - Jean-Luc Brédas
- Solar & Photovoltaics Engineering Research Center, Physical Science and Engineering Division King Abdullah University of Science and Technology , Thuwal 23955-6900, Kingdom of Saudi Arabia
| | - Noa Marom
- Department of Physics, Tulane University , New Orleans, Louisiana 70118-5645, United States
| | - C David Sherrill
- Center for Computational Molecular Science and Technology, School of Chemistry and Biochemistry, and School of Computational Science and Engineering, Georgia Institute of Technology , Atlanta, Georgia 30332-0400, United States
| |
Collapse
|
19
|
On the performance of various hierarchized bases in extrapolating the correlation energy to the complete basis set limit. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.10.064] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
|
20
|
Pansini F, Varandas A. Toward a unified single-parameter extrapolation scheme for the correlation energy: Systems formed by atoms of hydrogen through neon. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.04.052] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
|
21
|
Vereecken L, Glowacki DR, Pilling MJ. Theoretical Chemical Kinetics in Tropospheric Chemistry: Methodologies and Applications. Chem Rev 2015; 115:4063-114. [DOI: 10.1021/cr500488p] [Citation(s) in RCA: 146] [Impact Index Per Article: 16.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Luc Vereecken
- Max Planck Institute for Chemistry, 55128 Mainz, Germany
| | - David R. Glowacki
- PULSE
Institute and Department of Chemistry, Stanford University, Stanford, California 94305, United States
- SLAC National Accelerator Laboratory, Menlo Park, California 94025, United States
- School
of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
- Department
of Computer Science, University of Bristol, Bristol BS8 1UB, United Kingdom
| | | |
Collapse
|
22
|
Okoshi M, Atsumi T, Nakai H. Revisiting the extrapolation of correlation energies to complete basis set limit. J Comput Chem 2015; 36:1075-82. [DOI: 10.1002/jcc.23896] [Citation(s) in RCA: 29] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/26/2014] [Revised: 01/19/2015] [Accepted: 02/27/2015] [Indexed: 01/27/2023]
Affiliation(s)
- Masaki Okoshi
- Department of Chemistry and Biochemistry; School of Advanced Science and Engineering, Waseda University; Tokyo 169-8555 Japan
| | | | - Hiromi Nakai
- Department of Chemistry and Biochemistry; School of Advanced Science and Engineering, Waseda University; Tokyo 169-8555 Japan
- Research Institute for Science and Engineering; Waseda University; Tokyo 169-8555 Japan
- CREST, Japan Science and Technology Agency; Saitama 332-0012 Japan
- ESICB, Kyoto University, Kyotodaigaku-Katsura; Kyoto 615-8520 Japan
| |
Collapse
|
23
|
Varandas AJC, Pansini FNN. Narrowing the error in electron correlation calculations by basis set re-hierarchization and use of the unified singlet and triplet electron-pair extrapolation scheme: Application to a test set of 106 systems. J Chem Phys 2014; 141:224113. [DOI: 10.1063/1.4903193] [Citation(s) in RCA: 71] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- A. J. C. Varandas
- Departamento de Química, and Centro de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal
- Departamento de Física, Universidade Federal do Espírito Santo, 29075-910 Vitória, Brazil
| | - F. N. N. Pansini
- CAPES Foundation, Ministry of Education of Brazil, Brasília-DF 70040-020, Brazil
| |
Collapse
|
24
|
Bakowies D. Simplified Wave Function Models in Thermochemical Protocols Based on Bond Separation Reactions. J Phys Chem A 2014; 118:11811-27. [DOI: 10.1021/jp510249v] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dirk Bakowies
- Laboratory of Physical Chemistry, ETH Zürich, CH 8093 Zürich, Switzerland
| |
Collapse
|
25
|
Accurate atomization energies from combining coupled-cluster computations with interference-corrected explicitly correlated second-order perturbation theory. Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1446-0] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
|
26
|
Accuracy of basis-set extrapolation schemes for DFT-RPA correlation energies in molecular calculations. Theor Chem Acc 2012. [DOI: 10.1007/s00214-012-1278-8] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
27
|
Hättig C, Klopper W, Köhn A, Tew DP. Explicitly Correlated Electrons in Molecules. Chem Rev 2011; 112:4-74. [DOI: 10.1021/cr200168z] [Citation(s) in RCA: 401] [Impact Index Per Article: 30.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Christof Hättig
- Lehrstuhl für Theoretische Chemie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
| | - Wim Klopper
- Abteilung für Theoretische Chemie, Institut für Physikalische Chemie, Karlsruher Institut für Technologie, KIT-Campus Süd, Postfach 6980, D-76049 Karlsruhe, Germany
| | - Andreas Köhn
- Institut für Physikalische Chemie, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - David P. Tew
- School of Chemistry, University of Bristol, Bristol BS8 1TS, United Kingdom
| |
Collapse
|
28
|
Tew DP, Helmich B, Hättig C. Local explicitly correlated second-order Møller–Plesset perturbation theory with pair natural orbitals. J Chem Phys 2011; 135:074107. [DOI: 10.1063/1.3624370] [Citation(s) in RCA: 76] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023] Open
|
29
|
Feller D, Peterson KA, Grant Hill J. On the effectiveness of CCSD(T) complete basis set extrapolations for atomization energies. J Chem Phys 2011; 135:044102. [DOI: 10.1063/1.3613639] [Citation(s) in RCA: 224] [Impact Index Per Article: 17.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
30
|
Chuang YY, Chen SM. Infinite basis set extrapolation for double hybrid density functional theory 1: Effect of applying various extrapolation functions. J Comput Chem 2011; 32:1671-9. [DOI: 10.1002/jcc.21745] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2010] [Revised: 12/06/2010] [Accepted: 12/08/2010] [Indexed: 01/13/2023]
|
31
|
Feller D, Peterson KA, Dixon DA. Ab Initio Coupled Cluster Determination of the Heats of Formation of C2H2F2, C2F2, and C2F4. J Phys Chem A 2011; 115:1440-51. [DOI: 10.1021/jp111644h] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- David Feller
- Department of Chemistry, Washington State University, Pullman, Washington 99164-4630, United States
| | - Kirk A. Peterson
- Department of Chemistry, Washington State University, Pullman, Washington 99164-4630, United States
| | - David A. Dixon
- Department of Chemistry, The University of Alabama, Shelby Hall, Box 870336, Tuscaloosa, Alabama 35487-0336, United States
| |
Collapse
|
32
|
Köhn A, Tew DP. Explicitly correlated coupled-cluster theory using cusp conditions. I. Perturbation analysis of coupled-cluster singles and doubles (CCSD-F12). J Chem Phys 2010; 133:174117. [DOI: 10.1063/1.3496372] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
|
33
|
DeYonker NJ, Wilson BR, Pierpont AW, Cundari TR, Wilson AK. Towards the intrinsic error of the correlation consistent Composite Approach (ccCA). Mol Phys 2010. [DOI: 10.1080/00268970902744359] [Citation(s) in RCA: 71] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
|
34
|
Bischoff FA, Wolfsegger S, Tew DP, Klopper W. Assessment of basis sets for F12 explicitly-correlated molecular electronic-structure methods. Mol Phys 2010. [DOI: 10.1080/00268970802708942] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
|
35
|
|
36
|
Köhn A, Tew DP. Towards the Hartree–Fock and coupled-cluster singles and doubles basis set limit: A study of various models that employ single excitations into a complementary auxiliary basis set. J Chem Phys 2010; 132:024101. [DOI: 10.1063/1.3291040] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
|
37
|
Tew DP, Hättig C, Bachorz RA, Klopper W. Explicitly Correlated Coupled-Cluster Theory. CHALLENGES AND ADVANCES IN COMPUTATIONAL CHEMISTRY AND PHYSICS 2010. [DOI: 10.1007/978-90-481-2885-3_20] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
|
38
|
Bakowies D. Ab Initio Thermochemistry with High-Level Isodesmic Corrections: Validation of the ATOMIC Protocol for a Large Set of Compounds with First-Row Atoms (H, C, N, O, F). J Phys Chem A 2009; 113:11517-34. [DOI: 10.1021/jp9027782] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Dirk Bakowies
- Laboratory of Physical Chemistry, ETH Zürich, CH 8093 Zürich, Switzerland
| |
Collapse
|
39
|
Bakowies D. Ab initio thermochemistry using optimal-balance models with isodesmic corrections: The ATOMIC protocol. J Chem Phys 2009; 130:144113. [DOI: 10.1063/1.3089241] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
|
40
|
Atomization energies from coupled-cluster calculations augmented with explicitly-correlated perturbation theory. Chem Phys 2009. [DOI: 10.1016/j.chemphys.2008.11.013] [Citation(s) in RCA: 86] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
|
41
|
Tschumper GS. Reliable Electronic Structure Computations for Weak Noncovalent Interactions in Clusters. REVIEWS IN COMPUTATIONAL CHEMISTRY 2009. [DOI: 10.1002/9780470399545.ch2] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/28/2023]
|
42
|
Hill JG, Peterson KA, Knizia G, Werner HJ. Extrapolating MP2 and CCSD explicitly correlated correlation energies to the complete basis set limit with first and second row correlation consistent basis sets. J Chem Phys 2009; 131:194105. [DOI: 10.1063/1.3265857] [Citation(s) in RCA: 236] [Impact Index Per Article: 15.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
43
|
|
44
|
Bytautas L, Nagata T, Gordon MS, Ruedenberg K. Accurate ab initio potential energy curve of F2. I. Nonrelativistic full valence configuration interaction energies using the correlation energy extrapolation by intrinsic scaling method. J Chem Phys 2008; 127:164317. [PMID: 17979348 DOI: 10.1063/1.2800017] [Citation(s) in RCA: 59] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The recently introduced method of correlation energy extrapolation by intrinsic scaling (CEEIS) is used to calculate the nonrelativistic electron correlations in the valence shell of the F(2) molecule at 13 internuclear distances along the ground state potential energy curve from 1.14 A to 8 A, the equilibrium distance being 1.412 A. Using Dunning's correlation-consistent double-, triple-, and quadruple-zeta basis sets, the full configuration interaction energies are determined, with an accuracy of about 0.3 mhartree, by successively generating up to octuple excitations with respect to multiconfigurational reference functions that strongly change along the reaction path. The energies of the reference functions and those of the correlation energies with respect to these reference functions are then extrapolated to their complete basis set limits. The applicability of the CEEIS method to strongly multiconfigurational reference functions is documented in detail.
Collapse
Affiliation(s)
- Laimutis Bytautas
- Department of Chemistry and Ames Laboratory U.S. DOE, Iowa State University, Ames, Iowa 50011, USA
| | | | | | | |
Collapse
|
45
|
Varandas AJC. Generalized Uniform Singlet- and Triplet-Pair Extrapolation of the Correlation Energy to the One Electron Basis Set Limit. J Phys Chem A 2008; 112:1841-50. [DOI: 10.1021/jp710477t] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- A. J. C. Varandas
- Departamento de Química, Universidade de Coimbra 3004-535 Coimbra, Portugal
| |
Collapse
|
46
|
|
47
|
Bakowies D. Accurate extrapolation of electron correlation energies from small basis sets. J Chem Phys 2007; 127:164109. [DOI: 10.1063/1.2768359] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
|