1
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Denjean AEF, Rio J, Ciofini I, Perrin MEL, Payard PA. Computed versus experimental energy barriers in solution: Influence of the type of the density functional approximation. J Comput Chem 2024; 45:2284-2293. [PMID: 38847601 DOI: 10.1002/jcc.27436] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/20/2024] [Revised: 04/18/2024] [Accepted: 04/24/2024] [Indexed: 08/15/2024]
Abstract
Mechanistic investigations at the density functional theory level of organic and organometallic reactions in solution are now broadly accessible and routinely implemented to complement experimental investigations. The selection of an appropriate functional among the plethora of developed ones is the first challenge on the way to reliable energy barrier calculations. To provide guidelines for the choice of an initial and reliable computational level, the performances of commonly used non-empirical (PBE, PBE0, PBE0-DH) and empirical density functionals (BLYP, B3LYP, B2PLYP) were evaluated relative to experimental activation enthalpies. Most reactivity databases to assess density functional performances are primarily based on high level calculations, here a set of experimental activation enthalpies of organic and organometallic reactions performed in solution were selected from the literature. As a general trend, the non-empirical functionals outperform the empirical ones. The most accurate energy barriers are obtained with hybrid PBE0 and double-hybrid PBE0-DH density functionals, both providing similar performance. Regardless of the functional under consideration, the addition of the GD3-BJ empirical dispersion correction does not enhance the accuracy of computed energy barriers.
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Affiliation(s)
- Aurore E F Denjean
- Department of Chemistry and Hylleraas Centre for Quantum Molecular Sciences, University of Oslo, Oslo, Norway
- Universite Claude Bernard Lyon I, CNRS, CPE-Lyon, INSA-Lyon, UMR 5246, ICBMS Institut de Chimie et de Biochimie Moléculaires et Supramoléculaires, Villeurbanne, France
| | - Jordan Rio
- Universite Claude Bernard Lyon I, CNRS, CPE-Lyon, INSA-Lyon, UMR 5246, ICBMS Institut de Chimie et de Biochimie Moléculaires et Supramoléculaires, Villeurbanne, France
| | - Ilaria Ciofini
- i-CLeHS (UMR 8060), CNRS Chimie Paris-Tech-PSL, Université Paris Sciences et Lettres, Paris, France
| | - Marie-Eve L Perrin
- Universite Claude Bernard Lyon I, CNRS, CPE-Lyon, INSA-Lyon, UMR 5246, ICBMS Institut de Chimie et de Biochimie Moléculaires et Supramoléculaires, Villeurbanne, France
| | - Pierre-Adrien Payard
- Universite Claude Bernard Lyon I, CNRS, CPE-Lyon, INSA-Lyon, UMR 5246, ICBMS Institut de Chimie et de Biochimie Moléculaires et Supramoléculaires, Villeurbanne, France
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2
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Obeng A, Autschbach J. How Much Electron Donation Is There In Transition Metal Complexes? A Computational Study. J Chem Theory Comput 2024; 20:4965-4976. [PMID: 38857528 DOI: 10.1021/acs.jctc.4c00404] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/12/2024]
Abstract
The "dative" covalent interactions between metals and ligands in coordination compounds, i.e., metal-to-ligand and ligand-to-metal donation, are manifestations of electron delocalization and subject to errors in approximate calculations. This work addresses the extent of dative bonding/donation in a series of closed-shell transition metal complexes. Several Kohn-Sham density functionals, representing different "rungs" of approximations, along with post-Hartree-Fock methods are assessed in comparison to CCSD(T). Two widely used nonhybrid and global hybrid density functionals (B3LYP, PBE0) tend to produce notably too strong donation. Global hybrids with elevated fractions of exact exchange (40 to 50%) and the range-separated exchange functional CAM-B3LYP tend to perform better for the description of the donation. The performance of a double-hybrid functional is found to be quite satisfactory, correcting errors seen in MP2 calculations. A fast approximate coupled-cluster model (DLPNO-CCSD) also gives a reasonable description of the donation, with a tendency to underestimate its extent.
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Affiliation(s)
- Augustine Obeng
- Department of Chemistry, University at Buffalo State University of New York Buffalo, New York 14260-3000, United States
| | - Jochen Autschbach
- Department of Chemistry, University at Buffalo State University of New York Buffalo, New York 14260-3000, United States
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3
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Cheng X, Li F, Zhao Y, Cheng X, Nie K, Han Y, Yang Y. Stability, atomic charges, bond order analysis, and the directionality of lone‐electron pairs on nitriles and isocyanides. J PHYS ORG CHEM 2022. [DOI: 10.1002/poc.4420] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Xueli Cheng
- School of Chemistry and Chemical Engineering, Taishan University Tai’an China
| | - Feng Li
- Department of Teaching Affairs Taishan University Tai’an China
| | - Yanyun Zhao
- School of Chemistry and Chemical Engineering, Taishan University Tai’an China
| | - Xiaoyu Cheng
- School of Chemistry, Chemical Engineering and Materials Science Shandong Normal University Jinan China
| | - Kun Nie
- School of Chemistry and Chemical Engineering, Taishan University Tai’an China
| | - Yinfeng Han
- School of Chemistry and Chemical Engineering, Taishan University Tai’an China
| | - Yongjuan Yang
- School of Chemistry and Chemical Engineering, Taishan University Tai’an China
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4
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Brémond É, Tognetti V, Chermette H, Sancho-García JC, Joubert L, Adamo C. Electronic Energy and Local Property Errors at QTAIM Critical Points while Climbing Perdew's Ladder of Density-Functional Approximations. J Chem Theory Comput 2021; 18:293-308. [PMID: 34958205 DOI: 10.1021/acs.jctc.1c00981] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We investigate the relationships between electron-density and electronic-energy errors produced by modern exchange-correlation density-functional approximations belonging to all of the rungs of Perdew's ladder. To this aim, a panel of relevant (semi)local properties evaluated at critical points of the electron-density field (as defined within the framework of Bader's atoms-in-molecules theory) are computed on a large selection of molecular systems involved in thermodynamic, kinetic, and noncovalent interaction chemical databases using density functionals developed in a nonempirical and minimally and highly parametrized fashion. The comparison of their density- and energy-based performance, also discussed in terms of density-driven errors, casts light on the strengths and weaknesses of the most recent and efficient density-functional approximations.
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Affiliation(s)
- Éric Brémond
- Université de Paris, ITODYS, CNRS, F-75006 Paris, France
| | - Vincent Tognetti
- Normandy University, COBRA UMR 6014 and FR 3038, Université de Rouen INSA Rouen, CNRS, F-76821 Mont St Aignan, France
| | - Henry Chermette
- Université de Lyon, Institut des Sciences Analytiques, UMR 5280, CNRS, Université Lyon 1, 5 rue de la Doua, F-69100 Villeurbanne, France
| | | | - Laurent Joubert
- Normandy University, COBRA UMR 6014 and FR 3038, Université de Rouen INSA Rouen, CNRS, F-76821 Mont St Aignan, France
| | - Carlo Adamo
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), UMR 8060, F-75005 Paris, France.,Institut Universitaire de France, 103 Boulevard Saint Michel, F-75005 Paris, France
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5
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Abstract
We systematically investigated iodine–metal and iodine–iodine bonding in van Koten’s pincer complex and 19 modifications changing substituents and/or the transition metal with a PBE0–D3(BJ)/aug–cc–pVTZ/PP(M,I) model chemistry. As a novel tool for the quantitative assessment of the iodine–metal and iodine–iodine bond strength in these complexes we used the local mode analysis, originally introduced by Konkoli and Cremer, complemented with NBO and Bader’s QTAIM analyses. Our study reveals the major electronic effects in the catalytic activity of the M–I–I non-classical three-center bond of the pincer complex, which is involved in the oxidative addition of molecular iodine I2 to the metal center. According to our investigations the charge transfer from the metal to the σ* antibonding orbital of the I–I bond changes the 3c–4e character of the M–I–I three-center bond, which leads to weakening of the iodine I–I bond and strengthening of the metal–iodine M–I bond, facilitating in this way the oxidative addition of I2 to the metal. The charge transfer can be systematically modified by substitution at different places of the pincer complex and by different transition metals, changing the strength of both the M–I and the I2 bonds. We also modeled for the original pincer complex how solvents with different polarity influence the 3c–4e character of the M–I–I bond. Our results provide new guidelines for the design of pincer complexes with specific iodine–metal bond strengths and introduce the local vibrational mode analysis as an efficient tool to assess the bond strength in complexes.
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6
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Brémond É, Ottochian A, Pérez-Jiménez ÁJ, Ciofini I, Scalmani G, Frisch MJ, Sancho-García JC, Adamo C. Assessing challenging intra- and inter-molecular charge-transfer excitations energies with double-hybrid density functionals. J Comput Chem 2021; 42:970-981. [PMID: 33748983 DOI: 10.1002/jcc.26517] [Citation(s) in RCA: 17] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2021] [Accepted: 02/15/2021] [Indexed: 12/24/2022]
Abstract
We investigate the performance of a set of recently introduced range-separated double-hybrid functionals, namely ωB2-PLYP, ωB2GP-PLYP, RSX-0DH, and RSX-QIDH models for hard-to-calculate excitation energies. We compare with the parent (B2-PLYP, B2GP-PLYP, PBE0-DH, and PBE-QIDH) and other (DSD-PBEP86) double-hybrid models as well as with some of the most widely employed hybrid functionals (B3LYP, PBE0, M06-2X, and ωB97X). For this purpose, we select a number of medium-sized intra- and inter-molecular charge-transfer excitations, which are known to be challenging to calculate using time-dependent density-functional theory (TD-DFT) and for which accurate reference values are available. We assess whether the high accuracy shown by the newest double-hybrid models is also confirmed for those cases too. We find that asymptotically corrected double-hybrid models yield a superior performance, especially for the inter-molecular charge-transfer excitation energies, as compared to standard double-hybrid models. Overall, the PBE-QIDH and its corresponding range-separated RSX-QIDH functional are recommended for general-purpose TD-DFT applications, depending on whether long-range effects are expected to play a significant role.
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Affiliation(s)
- Éric Brémond
- Université de Paris, ITODYS, CNRS, Paris, F-75006, France
| | - Alistar Ottochian
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS, Paris, France
| | | | - Ilaria Ciofini
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS, Paris, France
| | | | | | | | - Carlo Adamo
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS, Paris, France.,Institut Universitaire de France, Paris, France
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7
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Quanz H, Bernhardt B, Erb FR, Bartlett MA, Allen WD, Schreiner PR. Identification and Reactivity of s- cis, s- cis-Dihydroxycarbene, a New [CH 2O 2] Intermediate. J Am Chem Soc 2020; 142:19457-19461. [PMID: 33166464 DOI: 10.1021/jacs.0c09317] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Abstract
We report the first preparation of the s-cis,s-cis conformer of dihydroxycarbene (1cc) by means of pyrolysis of oxalic acid, isolation of the lower-energy s-trans,s-trans (1tt) and s-cis,s-trans (1ct) product conformers at cryogenic temperatures in a N2 matrix, and subsequent narrow-band near-infrared (NIR) laser excitation to give 1cc. Carbene 1cc converts quickly to 1ct via quantum-mechanical tunneling with an effective half-life of 22 min at 3 K. The potential energy surface features around 1 were pinpointed by convergent focal point analysis targeting the AE-CCSDT(Q)/CBS level of electronic structure theory. Computations of the tunneling kinetics confirm the time scale of the 1cc → 1ct rotamerization and suggest that direct 1cc → H2 + CO2 decomposition may also be a minor pathway. The intriguing latter possibility cannot be confirmed spectroscopically, but hints of it may be present in the measured kinetic profiles.
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Affiliation(s)
- Henrik Quanz
- Institute of Organic Chemistry, Justus Liebig University, Heinrich-Buff-Ring 17, D-35392 Giessen, Germany
| | - Bastian Bernhardt
- Institute of Organic Chemistry, Justus Liebig University, Heinrich-Buff-Ring 17, D-35392 Giessen, Germany
| | - Frederik R Erb
- Institute of Organic Chemistry, Justus Liebig University, Heinrich-Buff-Ring 17, D-35392 Giessen, Germany
| | - Marcus A Bartlett
- Center for Computational Quantum Chemistry and Department of Chemistry, University of Georgia, Athens, Georgia 30602, United States
| | - Wesley D Allen
- Center for Computational Quantum Chemistry and Department of Chemistry, University of Georgia, Athens, Georgia 30602, United States.,Allen Heritage Foundation, Dickson, Tennessee 37055, United States
| | - Peter R Schreiner
- Institute of Organic Chemistry, Justus Liebig University, Heinrich-Buff-Ring 17, D-35392 Giessen, Germany
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8
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Brémond É, Pérez-Jiménez ÁJ, Sancho-García JC, Adamo C. Range-separated hybrid and double-hybrid density functionals: A quest for the determination of the range-separation parameter. J Chem Phys 2020; 152:244124. [PMID: 32610956 DOI: 10.1063/5.0010976] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We recently derived a new and simple route to the determination of the range-separation parameter in range-separated exchange hybrid and double-hybrid density functionals by imposing an additional constraint to the exchange-correlation energy to recover the total energy of the hydrogen atom [Brémond et al., J. Chem. Phys. 15, 201102 (2019)]. Here, we thoroughly assess this choice by statistically comparing the derived values of the range-separation parameters to the ones obtained using the optimal tuning (OT) approach. We show that both approaches closely agree, thus, confirming the reliability of ours. We demonstrate that it provides very close performances in the computation of properties particularly prone to the one- and many-electron self-interaction errors (i.e., ionization potentials). Our approach arises as an alternative to the OT procedure, conserving the accuracy and efficiency of a standard Kohn-Sham approach to density-functional theory computation.
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Affiliation(s)
- Éric Brémond
- Université de Paris, ITODYS, CNRS, F-75006 Paris, France
| | | | | | - Carlo Adamo
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), FRE 2027, F-75005 Paris, France
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9
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Cheng H, Wei Y, Wang S, Qiao Q, Heng W, Zhang L, Zhang J, Gao Y, Qian S. Improving Tabletability of Excipients by Metal-Organic Framework-Based Cocrystallization: a Study of Mannitol and CaCl2. Pharm Res 2020; 37:130. [DOI: 10.1007/s11095-020-02850-8] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2020] [Accepted: 06/02/2020] [Indexed: 11/30/2022]
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10
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Abstract
The intrinsic bonding nature of λ 3 -iodanes was investigated to determine where its hypervalent bonds fit along the spectrum between halogen bonding and covalent bonding. Density functional theory with an augmented Dunning valence triple zeta basis set ( ω B97X-D/aug-cc-pVTZ) coupled with vibrational spectroscopy was utilized to study a diverse set of 34 hypervalent iodine compounds. This level of theory was rationalized by comparing computational and experimental data for a small set of closely-related and well-studied iodine molecules and by a comparison with CCSD(T)/aug-cc-pVTZ results for a subset of the investigated iodine compounds. Axial bonds in λ 3 -iodanes fit between the three-center four-electron bond, as observed for the trihalide species IF 2 − and the covalent FI molecule. The equatorial bonds in λ 3 -iodanes are of a covalent nature. We explored how the equatorial ligand and axial substituents affect the chemical properties of λ 3 -iodanes by analyzing natural bond orbital charges, local vibrational modes, the covalent/electrostatic character, and the three-center four-electron bonding character. In summary, our results show for the first time that there is a smooth transition between halogen bonding → 3c–4e bonding in trihalides → 3c–4e bonding in hypervalent iodine compounds → covalent bonding, opening a manifold of new avenues for the design of hypervalent iodine compounds with specific properties.
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11
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Mehta N, Casanova-Páez M, Goerigk L. Semi-empirical or non-empirical double-hybrid density functionals: which are more robust? Phys Chem Chem Phys 2018; 20:23175-23194. [PMID: 30062343 DOI: 10.1039/c8cp03852j] [Citation(s) in RCA: 89] [Impact Index Per Article: 14.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The development of non-empirical double-hybrid density functionals (DHDFs) is a very active research area with the number of approaches in this field having increased rapidly. At the same time, there is a lack of published work that provides a fair assessment and comparison between non-empirical and semi-empirical DHDFs on an equal footing. Herein, we close this gap and present a thorough analysis of both classes of DHDFs on the large GMTKN55 benchmark database for general main-group thermochemistry, kinetics, and noncovalent interactions [Goerigk et al., Phys. Chem. Chem. Phys., 2017, 19, 32184-32215]. In total, 115 variations of dispersion-corrected and -uncorrected DHDFs are tested, which will be condensed to an in-depth assessment of 31 methods: 19 non-empirical and 12 semi-empirical DHDFs. As such, our study represents the largest DHDF study ever conducted and can serve as an important benchmark informing method developers and users alike. Our results show that semi-empirical DHDFs are the most robust density functional approximations and more reliable and accurate than non-empirical ones. In fact, some non-empirical approaches are even outperformed by hybrid approaches or even dispersion-corrected and -uncorrected MP2 and SCS-MP2. SOS0-PBE0-2-D3(BJ) is the only exception and the only non-empirical DHDF that we can safely recommend for general applicability. However, it is still outperformed by six semi-empirical DHDFs, of which we would like to particularly recommend the following five: ωB97X-2-D3(BJ), DSD-BLYP-D3(BJ), DSD-PBEP86-D3(BJ), B2NC-PLYP-D3(BJ), and B2GPPLYP-D3(BJ). Our findings seriously question current trends in the field and they highlight that novel strategies have to be found in order to outperform the currently best density functional theory methods on the market. We hope that our study can function as an important cornerstone inspiring such a change of direction in the field.
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Affiliation(s)
- Nisha Mehta
- School of Chemistry, The University of Melbourne, Parkville, Australia.
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12
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Brémond É, Savarese M, Pérez-Jiménez ÁJ, Sancho-García JC, Adamo C. Speed-Up of the Excited-State Benchmarking: Double-Hybrid Density Functionals as Test Cases. J Chem Theory Comput 2017; 13:5539-5551. [DOI: 10.1021/acs.jctc.7b00627] [Citation(s) in RCA: 27] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Éric Brémond
- CompuNet, Istituto
Italiano di Tecnologia, via Morego
30, I-16163 Genoa, Italy
| | - Marika Savarese
- CompuNet, Istituto
Italiano di Tecnologia, via Morego
30, I-16163 Genoa, Italy
| | | | | | - Carlo Adamo
- Chimie
ParisTech, PSL Research University, CNRS, Institut de Recherche de Chimie Paris IRCP, F-75005 Paris, France
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13
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Alipour M, Karimi N. Dissecting the accountability of parameterized and parameter-free single-hybrid and double-hybrid functionals for photophysical properties of TADF-based OLEDs. J Chem Phys 2017. [PMID: 28641443 DOI: 10.1063/1.4986777] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
Abstract
Organic light emitting diodes (OLEDs) based on thermally activated delayed fluorescence (TADF) emitters are an attractive category of materials that have witnessed a booming development in recent years. In the present contribution, we scrutinize the accountability of parameterized and parameter-free single-hybrid (SH) and double-hybrid (DH) functionals through the two formalisms, full time-dependent density functional theory (TD-DFT) and Tamm-Dancoff approximation (TDA), for the estimation of photophysical properties like absorption energy, emission energy, zero-zero transition energy, and singlet-triplet energy splitting of TADF molecules. According to our detailed analyses on the performance of SHs based on TD-DFT and TDA, the TDA-based parameter-free SH functionals, PBE0 and TPSS0, with one-third of exact-like exchange turned out to be the best performers in comparison to other functionals from various rungs to reproduce the experimental data of the benchmarked set. Such affordable SH approximations can thus be employed to predict and design the TADF molecules with low singlet-triplet energy gaps for OLED applications. From another perspective, considering this point that both the nonlocal exchange and correlation are essential for a more reliable description of large charge-transfer excited states, applicability of the functionals incorporating these terms, namely, parameterized and parameter-free DHs, has also been evaluated. Perusing the role of exact-like exchange, perturbative-like correlation, solvent effects, and other related factors, we find that the parameterized functionals B2π-PLYP and B2GP-PLYP and the parameter-free models PBE-CIDH and PBE-QIDH have respectable performance with respect to others. Lastly, besides the recommendation of reliable computational protocols for the purpose, hopefully this study can pave the way toward further developments of other SHs and DHs for theoretical explorations in the field of OLEDs technology.
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Affiliation(s)
- Mojtaba Alipour
- Department of Chemistry, College of Sciences, Shiraz University, Shiraz, Iran
| | - Niloofar Karimi
- Department of Chemistry, College of Sciences, Shiraz University, Shiraz, Iran
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14
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Sancho-García JC, Brémond É, Savarese M, Pérez-Jiménez AJ, Adamo C. Partnering dispersion corrections with modern parameter-free double-hybrid density functionals. Phys Chem Chem Phys 2017; 19:13481-13487. [DOI: 10.1039/c7cp00709d] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
The PBE-QIDH and SOS1-PBE-QIDH double-hybrid density functionals are merged with a pair of dispersion corrections, namely the pairwise additive D3(BJ) and the non-local correlation functional VV10, leading to the corresponding dispersion-corrected models.
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Affiliation(s)
| | - É. Brémond
- CompuNet
- Istituto Italiano di Tecnologia
- I-16163 Genoa
- Italy
| | - M. Savarese
- CompuNet
- Istituto Italiano di Tecnologia
- I-16163 Genoa
- Italy
| | | | - C. Adamo
- CompuNet
- Istituto Italiano di Tecnologia
- I-16163 Genoa
- Italy
- Institut de Recherche de Chimie Paris
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15
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Goerigk L, Hansen A, Bauer C, Ehrlich S, Najibi A, Grimme S. A look at the density functional theory zoo with the advanced GMTKN55 database for general main group thermochemistry, kinetics and noncovalent interactions. Phys Chem Chem Phys 2017; 19:32184-32215. [DOI: 10.1039/c7cp04913g] [Citation(s) in RCA: 854] [Impact Index Per Article: 122.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
We present the updated and extended GMTKN55 benchmark database for more accurate and extensive energetic evaluation of density functionals and other electronic structure methods with detailed guidelines for method users.
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Affiliation(s)
- Lars Goerigk
- School of Chemistry
- The University of Melbourne
- Parkville
- Australia
| | - Andreas Hansen
- Universität Bonn
- Mulliken Center for Theoretical Chemistry
- Bonn
- Germany
| | - Christoph Bauer
- Universität Bonn
- Mulliken Center for Theoretical Chemistry
- Bonn
- Germany
| | - Stephan Ehrlich
- Universität Bonn
- Mulliken Center for Theoretical Chemistry
- Bonn
- Germany
| | - Asim Najibi
- School of Chemistry
- The University of Melbourne
- Parkville
- Australia
| | - Stefan Grimme
- Universität Bonn
- Mulliken Center for Theoretical Chemistry
- Bonn
- Germany
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16
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Yu HS, Li SL, Truhlar DG. Perspective: Kohn-Sham density functional theory descending a staircase. J Chem Phys 2016; 145:130901. [DOI: 10.1063/1.4963168] [Citation(s) in RCA: 204] [Impact Index Per Article: 25.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Haoyu S. Yu
- Department of Chemistry, Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
| | - Shaohong L. Li
- Department of Chemistry, Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
| | - Donald G. Truhlar
- Department of Chemistry, Chemical Theory Center, and Supercomputing Institute, University of Minnesota, Minneapolis, Minnesota 55455-0431, USA
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17
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Brémond E, Ciofini I, Sancho-García JC, Adamo C. Nonempirical Double-Hybrid Functionals: An Effective Tool for Chemists. Acc Chem Res 2016; 49:1503-13. [PMID: 27494122 DOI: 10.1021/acs.accounts.6b00232] [Citation(s) in RCA: 79] [Impact Index Per Article: 9.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Density functional theory (DFT) emerged in the last two decades as the most reliable tool for the description and prediction of properties of molecular systems and extended materials, coupling in an unprecedented way high accuracy and reasonable computational cost. This success rests also on the development of more and more performing density functional approximations (DFAs). Indeed, the Achilles' heel of DFT is represented by the exchange-correlation contribution to the total energy, which, being unknown, must be approximated. Since the beginning of the 1990s, global hybrids (GH) functionals, where an explicit dependence of the exchange-correlation energy on occupied Kohn-Sham orbitals is introduced thanks to a fraction of Hartree-Fock-like exchange, imposed themselves as the most reliable DFAs for chemical applications. However, if these functionals normally provide results of sufficient accuracy for most of the cases analyzed, some properties, such as thermochemistry or dispersive interactions, can still be significantly improved. A possible way out is represented by the inclusion, into the exchange-correlation functional, of an explicit dependence on virtual Kohn-Sham orbitals via perturbation theory. This leads to a new class of functionals, called double-hybrids (DHs). In this Account, we describe our nonempirical approach to DHs, which, following the line traced by the Perdew-Burke-Ernzerhof approach, allows for the definition of a GH (PBE0) and a DH (QIDH) model. In such a way, a whole family of nonempirical functionals, spanning on the highest rungs of the Perdew's quality scale, is now available and competitive with other-more empirical-DFAs. Discussion of selected cases, ranging from thermochemistry and reactions to weak interactions and excitation energies, not only show the large range of applicability of nonempirical DFAs, but also underline how increasing the number of theoretical constraints parallels with an improvement of the DFA's numerical performances. This fact further consolidates the strong theoretical framework of nonempirical DFAs. Finally, even if nonempirical DH approaches are still computationally expensive, relying on the fact that they can benefit of all technical enhancements developed for speeding up post-Hartree-Fock methods, there is substantial hope for their near future routine application to the description and prediction of complex chemical systems and reactions.
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Affiliation(s)
- Eric Brémond
- CompuNet, Istituto Italiano di Tecnologia, via Morego 30, I-16163 Genoa, Italy
| | - Ilaria Ciofini
- Institut de Recherche
de Chimie Paris, PSL Research University, CNRS, Chimie ParisTech, 11 rue Pierre et Marie Curie, F-75005 Paris, France
| | | | - Carlo Adamo
- CompuNet, Istituto Italiano di Tecnologia, via Morego 30, I-16163 Genoa, Italy
- Institut de Recherche
de Chimie Paris, PSL Research University, CNRS, Chimie ParisTech, 11 rue Pierre et Marie Curie, F-75005 Paris, France
- Institut Universitaire de France, 103 Boulevard Saint Michel, F-75005 Paris, France
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On the performance of time-dependent double-hybrid density functionals for description of absorption and emission spectra of heteroaromatic compounds. Theor Chem Acc 2016. [DOI: 10.1007/s00214-016-1838-4] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Brémond É, Ciofini I, Adamo C. Gradient-regulated connection-based correction for the PBE exchange: the PBEtrans model. Mol Phys 2016. [DOI: 10.1080/00268976.2015.1132788] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Éric Brémond
- CompuNet, Istituto Italiano di Tecnologia, Genoa, Italy
| | - Ilaria Ciofini
- Institut de Recherche de Chimie Paris, École Nationale Supérieure de Chimie de Paris, Chimie ParisTech, Paris, France
| | - Carlo Adamo
- CompuNet, Istituto Italiano di Tecnologia, Genoa, Italy
- Institut de Recherche de Chimie Paris, École Nationale Supérieure de Chimie de Paris, Chimie ParisTech, Paris, France
- Institut Universitaire de France, Paris, France
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Brémond É, Savarese M, Su NQ, Pérez-Jiménez ÁJ, Xu X, Sancho-García JC, Adamo C. Benchmarking Density Functionals on Structural Parameters of Small-/Medium-Sized Organic Molecules. J Chem Theory Comput 2016; 12:459-65. [PMID: 26730741 DOI: 10.1021/acs.jctc.5b01144] [Citation(s) in RCA: 122] [Impact Index Per Article: 15.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In this Letter we report the error analysis of 59 exchange-correlation functionals in evaluating the structural parameters of small- and medium-sized organic molecules. From this analysis, recently developed double hybrids, such as xDH-PBE0, emerge as the most reliable methods, while global hybrids confirm their robustness in reproducing molecular structures. Notably the M06-L density functional is the only semilocal method reaching an accuracy comparable to hybrids'. A comparison with errors obtained on energetic databases (including thermochemistry, reaction barriers, and interaction energies) indicate that most of the functionals have a coherent behavior, showing low (or high) deviations on both energy and structure data sets. Only a few of them are more prone toward one of these two properties.
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Affiliation(s)
- Éric Brémond
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy
| | - Marika Savarese
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy
| | - Neil Qiang Su
- Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan University , Shanghai 200433, China
| | | | - Xin Xu
- Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Laboratory for Computational Physical Science, Department of Chemistry, Fudan University , Shanghai 200433, China
| | | | - Carlo Adamo
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy.,Chimie ParisTech, PSL Research University, CNRS, Institut de Recherche de Chimie Paris (IRCP) , F-75005 Paris, France.,Institut Universitaire de France , 103 Boulevard Saint Michel, F-75005 Paris, France
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Brémond É, Savarese M, Pérez-Jiménez ÁJ, Sancho-García JC, Adamo C. Systematic Improvement of Density Functionals through Parameter-Free Hybridization Schemes. J Phys Chem Lett 2015; 6:3540-3545. [PMID: 26722720 DOI: 10.1021/acs.jpclett.5b01581] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
It is suggested here that the ultimate accuracy of DFT methods arises from the type of hybridization scheme followed. This idea can be cast into a mathematical formulation utilizing an integrand connecting the noninteracting and the interacting particle system. We consider two previously developed models for it, dubbed as HYB0 and QIDH, and assess a large number of exchange-correlation functionals against the AE6, G2/148, and S22 reference data sets. An interesting consequence of these hybridization schemes is that the error bars, including the standard deviation, are found to markedly decrease with respect to the density-based (nonhybrid) case. This improvement is substantially better than variations due to the underlying density functional used. We thus finally hypothesize about the universal character of the HYB0 and QIDH models.
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Affiliation(s)
- Éric Brémond
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy
| | - Marika Savarese
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy
| | | | | | - Carlo Adamo
- CompuNet, Istituto Italiano di Tecnologia , via Morego 30, I-16163 Genoa, Italy
- Institut de Recherche de Chimie Paris, IRCP CNRS UMR-8247, École Nationale Supérieure de Chimie de Paris, Chimie ParisTech, 11 rue P. et M. Curie, F-75231 Paris Cedex 05, France
- Institut Universitaire de France , 103 Boulevard Saint Michel, F-75005 Paris, France
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Alipour M. Designing a paradigm for parameter-free double-hybrid density functionals through the adiabatic connection path. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1689-4] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Chan B, Goerigk L, Radom L. On the inclusion of post-MP2 contributions to double-Hybrid density functionals. J Comput Chem 2015; 37:183-93. [DOI: 10.1002/jcc.23972] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/17/2015] [Revised: 05/19/2015] [Accepted: 05/21/2015] [Indexed: 01/18/2023]
Affiliation(s)
- Bun Chan
- School of Chemistry; The University of Sydney and Centre of Excellence for Free Radical Chemistry and Biotechnology; Sydney New South Wales 2006 Australia
| | - Lars Goerigk
- School of Chemistry; The University of Melbourne; Parkville Victoria 3010 Australia
| | - Leo Radom
- School of Chemistry; The University of Sydney and Centre of Excellence for Free Radical Chemistry and Biotechnology; Sydney New South Wales 2006 Australia
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Further evidences on the quality of meta-GGA linearly scaled one-parameter double-hybrids for frontier orbital energies. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.01.032] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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García G, Atilhan M, Aparicio S. Assessment of DFT methods for studying acid gas capture by ionic liquids. Phys Chem Chem Phys 2015; 17:26875-91. [DOI: 10.1039/c5cp04283f] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
For the first time, this work reports an analysis of the performance of Density Functional methods for studying acid gas capture (CO2 and SO2) by ionic liquids (ILs).
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Affiliation(s)
- Gregorio García
- Department of Chemistry
- University of Burgos
- 09001 Burgos
- Spain
| | - Mert Atilhan
- Department of Chemical Engineering
- Qatar University
- Doha
- Qatar
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Alipour M. Relative energies of water nanoclusters (H2O)20: comparison of empirical and nonempirical double-hybrids with generalized energy-based fragmentation approach. NEW J CHEM 2015. [DOI: 10.1039/c5nj00817d] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The applicability of recently developed parameterized and parameter-free double-hybrids for predicting the relative energies of water nanoclusters has been examined.
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Affiliation(s)
- Mojtaba Alipour
- Department of Chemistry
- College of Sciences
- Shiraz University
- Shiraz
- Iran
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Bousquet D, Brémond E, Sancho-García JC, Ciofini I, Adamo C. Non-parametrized functionals with empirical dispersion corrections: A happy match? Theor Chem Acc 2014. [DOI: 10.1007/s00214-014-1602-6] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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29
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Goerigk L, Grimme S. Double-hybrid density functionals. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2014. [DOI: 10.1002/wcms.1193] [Citation(s) in RCA: 209] [Impact Index Per Article: 20.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Lars Goerigk
- School of Chemistry; The University of Sydney; Sydney New South Wales Australia
| | - Stefan Grimme
- Mulliken Center for Theoretical Chemistry, Institut für Physikalische und Theoretische Chemie; Universität Bonn; Bonn Germany
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Brémond É, Sancho-García JC, Pérez-Jiménez ÁJ, Adamo C. Communication: Double-hybrid functionals from adiabatic-connection: The QIDH model. J Chem Phys 2014; 141:031101. [DOI: 10.1063/1.4890314] [Citation(s) in RCA: 118] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022] Open
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31
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Alipour M. Novel Recipe for Double-Hybrid Density Functional Computations of Linear and Nonlinear Polarizabilities of Molecules and Nanoclusters. J Phys Chem A 2014; 118:5333-42. [DOI: 10.1021/jp503959w] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
Affiliation(s)
- Mojtaba Alipour
- Department
of Chemistry,
College of Sciences, Shiraz University, Shiraz, Iran
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Li W, Shi H, Zhang J. From Molecules to Materials: Computational Design of N-Containing Porous Aromatic Frameworks for CO2Capture. Chemphyschem 2014; 15:1772-8. [DOI: 10.1002/cphc.201400064] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2014] [Revised: 03/10/2014] [Indexed: 11/08/2022]
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33
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Yu F. Double-hybrid density functionals free of dispersion and counterpoise corrections for non-covalent interactions. J Phys Chem A 2014; 118:3175-82. [PMID: 24720397 DOI: 10.1021/jp5005506] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We have optimized two double-hybrid density functionals (DHDFs) within the frameworks of B2PLYP and mPW2-PLYP against the S22B database. These two functionals are denoted as B2NC-PLYP and mPW2NC-PLYP, where "NC" represents noncovalent interaction. The DHDFs of B2NC-PLYP and mPW2NC-PLYP are optimized free of dispersion and counterpoise corrections with triple-ζ quality basis sets. Combined with the aug-cc-pVTZ basis set, these two functionals are further assessed with the S66 database. According to our computations, both the B2NC-PLYP and mPW2NC-PLYP functionals seem to be competent for investigating noncovalent interactions. Note that the triple-ζ quality basis sets with adequate polarization and diffuse functions should be employed for practical applications. However, different exchange and correlation functionals may be selected and/or modified to reduce the amount of the Fock-exchange in the future.
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Affiliation(s)
- Feng Yu
- Department of Physics, School of Science, Xi'an Technological University , No. 4 Jinhua North Road, Xi'an, Shaanxi 710032, China
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Somogyi B, Gali A. Computational design of in vivo biomarkers. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:143202. [PMID: 24651562 DOI: 10.1088/0953-8984/26/14/143202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Fluorescent semiconductor nanocrystals (or quantum dots) are very promising agents for bioimaging applications because their optical properties are superior compared to those of conventional organic dyes. However, not all the properties of these quantum dots suit the stringent criteria of in vivo applications, i.e. their employment in living organisms that might be of importance in therapy and medicine. In our review, we first summarize the properties of an 'ideal' biomarker needed for in vivo applications. Despite recent efforts, no such hand-made fluorescent quantum dot exists that may be considered as 'ideal' in this respect. We propose that ab initio atomistic simulations with predictive power can be used to design 'ideal' in vivo fluorescent semiconductor nanoparticles. We briefly review such ab initio methods that can be applied to calculate the electronic and optical properties of very small nanocrystals, with extra emphasis on density functional theory (DFT) and time-dependent DFT which are the most suitable approaches for the description of these systems. Finally, we present our recent results on this topic where we investigated the applicability of nanodiamonds and silicon carbide nanocrystals for in vivo bioimaging.
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Affiliation(s)
- Bálint Somogyi
- Department of Atomic Physics, Budapest University of Technology and Economics, Budafoki út 8., H-1111, Budapest, Hungary
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