1
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Gómez S, Flórez E, Acelas N, Cappelli C, Hadad C, Restrepo A. Encapsulation of charged halogens by the 5 12 water cage. Phys Chem Chem Phys 2024; 26:15426-15436. [PMID: 38747303 DOI: 10.1039/d4cp01340a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/30/2024]
Abstract
This study focuses on the encapsulation of the entire series of halides by the 512 cage of twenty water molecules and on the characterization of water to water and water to anion interactions. State-of-the-art computations are used to determine equilibrium geometries, energy related quantities, and thermal stability towards dissociation and to dissect the nature and strength of intermolecular interactions holding the clusters as stable units. Two types of structures are revealed: heavily deformed cages for F- indicating a preference for microsolvation, and slightly deformed cages for the remaining anions indicating a preference for encapsulation. The primary variable dictating the properties of the clusters is the charge density of the central halide, with the most severe effects observed for the F- case. For the remaining halides, the anion may be safely viewed as a sort of "big electron" with little local disruptive power, enough to affect the network of non-covalent hydrogen bonds in the cage, but not enough to break it. Gibbs energies for dissociation either into cavity and halide or into water molecules and halide suggest that, in a similar way as to methane clathrate, a more weakly bonded complex that has been detected in the gas phase, all halide containing clathrate-like structures should be amenable to experimental detection in the gas phase at moderate temperature and pressure conditions.
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Affiliation(s)
- Sara Gómez
- Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri 7, 56126 Pisa, Italy.
| | - Elizabeth Flórez
- Grupo de Materiales con Impacto, Mat&mpac. Facultad de Ciencias Básicas, Universidad de Medellín, Carrera 87 No. 30-65, 050026 Medellín, Colombia
| | - Nancy Acelas
- Grupo de Materiales con Impacto, Mat&mpac. Facultad de Ciencias Básicas, Universidad de Medellín, Carrera 87 No. 30-65, 050026 Medellín, Colombia
| | - Chiara Cappelli
- Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri 7, 56126 Pisa, Italy.
| | - Cacier Hadad
- Instituto de Química, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia.
| | - Albeiro Restrepo
- Instituto de Química, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia.
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2
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Ballesteros F, Lao KU. Analysis of two overlapping fragmentation approaches in density matrix construction: GMBE-DM vs. ADMA. Phys Chem Chem Phys 2024; 26:4386-4394. [PMID: 38236152 DOI: 10.1039/d3cp05759c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2024]
Abstract
In this study, we conduct a comparative analysis of two density matrix construction methods: the generalized many-body expansion for building density matrices (GMBE-DM) based on the set-theoretical principle of inclusion/exclusion and the adjustable density matrix assembler (ADMA) based on the Mulliken-Mezey ansatz. We apply these methods to various noncovalent clusters, including water clusters, ion-water clusters, and ion-pair clusters, using both small 6-31G(d) and large def2-TZVPPD basis sets. Our findings reveal that the GMBE-DM method, particularly when combined with the purification scheme and truncation at the one-body level [GMBE(1)-DM-P], exhibits superior performance across all test systems and basis sets. In contrast, all ADMA set of methods show reasonable results only with small and compact basis sets. For example, GMBE(1)-DM-P outperforms the best ADMA method by at least 4 and 16 times with small and large basis sets, respectively, in the case of (H2O)N=6-55. This highlights the significance of the basis set choice for ADMA, which is even more critical than the fragmentation scheme, such as the size of subsystems, while GMBE-DM consistently produces accurate results irrespective of the chosen basis set. Consequently, the efficient and robust GMBE(1)-DM-P approach is recommended as a fragmentation method for generating accurate absolute and relative energies across different binding patterns and basis sets for noncovalent clusters.
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Affiliation(s)
| | - Ka Un Lao
- Department of Chemistry, Virginia Commonwealth University, Richmond, VA, USA.
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3
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Khire SS, Nakajima T, Gadre SR. REAlgo: Rapid and efficient algorithm for estimating MP2/CCSD energy gradients for large molecular clusters. J Chem Phys 2023; 159:184109. [PMID: 37955321 DOI: 10.1063/5.0174726] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/02/2023] [Accepted: 10/18/2023] [Indexed: 11/14/2023] Open
Abstract
This work reports the development of an algorithm for rapid and efficient evaluation of energy gradients for large molecular clusters employing correlated methods viz. second-order Møller-Plesset perturbation theory (MP2) theory and couple cluster singles and doubles (CCSD). The procedure segregates the estimation of Hartree-Fock (HF) and correlation components. The HF energy and gradients are obtained by performing a full calculation. The correlation energy is approximated as the corresponding two-body interaction energy. Correlation gradients for each monomer are approximated from the respective monomer-centric fragments comprising its immediate neighbours. The programmed algorithm is explored for the geometry optimization of large molecular clusters using the BERNY optimizer as implemented in the Gaussian suite of software. The accuracy and efficacy of the method are critically probed for a variety of large molecular clusters containing up to 3000 basis functions, in particular large water clusters. The CCSD level geometry optimization of molecular clusters containing ∼800 basis functions employing a modest hardware is also reported.
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Affiliation(s)
- Subodh S Khire
- RIKEN Center for Computational Science, Kobe 6500047, Japan
| | | | - Shridhar R Gadre
- Department of Scientific Computing, Modelling and Simulation, Savitribai Phule Pune University, Pune 411007, India
- Department of Chemistry, Savitribai Phule Pune University, Pune 411007, India
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Galvez Vallejo JL, Snowdon C, Stocks R, Kazemian F, Yan Yu FC, Seidl C, Seeger Z, Alkan M, Poole D, Westheimer BM, Basha M, De La Pierre M, Rendell A, Izgorodina EI, Gordon MS, Barca GMJ. Toward an extreme-scale electronic structure system. J Chem Phys 2023; 159:044112. [PMID: 37497819 DOI: 10.1063/5.0156399] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2023] [Accepted: 07/03/2023] [Indexed: 07/28/2023] Open
Abstract
Electronic structure calculations have the potential to predict key matter transformations for applications of strategic technological importance, from drug discovery to material science and catalysis. However, a predictive physicochemical characterization of these processes often requires accurate quantum chemical modeling of complex molecular systems with hundreds to thousands of atoms. Due to the computationally demanding nature of electronic structure calculations and the complexity of modern high-performance computing hardware, quantum chemistry software has historically failed to operate at such large molecular scales with accuracy and speed that are useful in practice. In this paper, novel algorithms and software are presented that enable extreme-scale quantum chemistry capabilities with particular emphasis on exascale calculations. This includes the development and application of the multi-Graphics Processing Unit (GPU) library LibCChem 2.0 as part of the General Atomic and Molecular Electronic Structure System package and of the standalone Extreme-scale Electronic Structure System (EXESS), designed from the ground up for scaling on thousands of GPUs to perform high-performance accurate quantum chemistry calculations at unprecedented speed and molecular scales. Among various results, we report that the EXESS implementation enables Hartree-Fock/cc-pVDZ plus RI-MP2/cc-pVDZ/cc-pVDZ-RIFIT calculations on an ionic liquid system with 623 016 electrons and 146 592 atoms in less than 45 min using 27 600 GPUs on the Summit supercomputer with a 94.6% parallel efficiency.
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Affiliation(s)
| | - Calum Snowdon
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
| | - Ryan Stocks
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
| | - Fazeleh Kazemian
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
| | - Fiona Chuo Yan Yu
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
| | - Christopher Seidl
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
| | - Zoe Seeger
- School of Chemistry, Monash University, Clayton 3800, VIC, Australia
| | - Melisa Alkan
- Department of Chemistry, Iowa State University, Ames, Iowa 50011-3111, USA
| | - David Poole
- School of Chemistry and Biochemistry, Georgia Institute of Technology, Atlanta, Georgia 30332, USA
| | - Bryce M Westheimer
- Department of Chemistry, Iowa State University, Ames, Iowa 50011-3111, USA
| | - Mehaboob Basha
- Pawsey Supercomputing Research Centre, Kensington, WA 6151, Australia
| | | | - Alistair Rendell
- College of Science and Engineering, Flinders University, Adelaide, SA 5042, Australia
| | | | | | - Giuseppe M J Barca
- School of Computing, Australian National University, Canberra 2601, ACT, Australia
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5
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Pogrebetsky J, Siklitskaya A, Kubas A. MP2-Based Correction Scheme to Approach the Limit of a Complete Pair Natural Orbitals Space in DLPNO-CCSD(T) Calculations. J Chem Theory Comput 2023. [PMID: 37338422 DOI: 10.1021/acs.jctc.3c00444] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/21/2023]
Abstract
The domain-based local pair natural orbital (PNO) coupled-cluster DLPNO-CCSD(T) method has been proven to provide accurate single-point energies at a fraction of the cost of canonical CCSD(T) calculations. However, the desired "chemical accuracy" can only be obtained with a large PNO space and extended basis set. We present a simple yet accurate and efficient correction scheme based on a perturbative approach. Here, in addition to DLPNO-CCSD(T) energy, one calculates DLPNO-MP2 correlation energy with the same settings as in the preceding coupled-cluster calculation. In the next step, the canonical MP2 correlation energy is obtained in the same orbital basis. This can be efficiently performed for essentially all molecule sizes accessible with the DLPNO-CCSD(T) method. By taking the difference between the canonical MP2 and DLPNO-MP2 energies, we obtain a correction term that can be added to the DLPNO-CCSD(T) correlation energy. This way, one can obtain the total correlation energy close to the limit of the complete PNO space (cPNO). The presented approach allows us to significantly increase the accuracy of the DLPNO-CCSD(T) method for both closed- and open-shell systems. The latter are known to be especially challenging for locally correlated methods. Unlike the previously developed PNO extrapolation procedure by Altun, Neese, and Bistoni ( J. Chem. Theory Comput. 2020, 16, 6142-6149), this strategy allows us to get the DLPNO-CCSD(T) correlation energy at the cPNO limit in a cost-efficient way, resulting in a minimal overall increase in calculation time as compared to the uncorrected method.
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Affiliation(s)
- James Pogrebetsky
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
| | - Alexandra Siklitskaya
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
| | - Adam Kubas
- Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warszawa 01-224, Poland
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Flórez E, Gómez S, Acelas N, Hadad C, Restrepo A. Microsolvation versus Encapsulation in Mono, Di, and Trivalent Cations. Chemphyschem 2022; 23:e202200456. [PMID: 35962558 DOI: 10.1002/cphc.202200456] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2022] [Revised: 08/04/2022] [Indexed: 01/05/2023]
Abstract
The effects of the formal charge in the stability and bonding of water cavities when solvating a cation are studied here using [X(H2 O)20 ]q+ clusters starting with the well known 512 isomer of (water)20 , placing a single mono, di, or trivalent Xq+ cation at the interior, and then optimizing and characterizing the resulting clusters. Highly correlated interaction and deformation energies are calculated using the CCSD(T)-DLPNO formalism. Bonding interactions are characterized using the tools provided by the quantum theory of atoms in molecules, natural bond orbitals, and non-covalent surfaces. Our results indicate that water to water hydrogen bonds are sensibly strengthened resulting in strong cooperative effects, which amount to ≈ 2 ${ \approx 2}$ kcal/mol per hydrogen bond in the bare cavity and to larger values for the systems including the cations. Approximate encapsulation, that is, surrounding the cation by a network of hydrogen bonds akin to the well known methane clathrate seems to be preferred by cations with smaller charge densities while microsolvation, that is, cluster structures having explicit X⋯O contacts seem to be preferred by cations with larger charge densities which severely deform the cavity.
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Affiliation(s)
- Elizabeth Flórez
- Grupo de Materiales con Impacto, Mat&mpac. Facultad de Ciencias Básicas, Universidad de Medellín, Carrera 87 No. 30-65, Medellín, 050026, Colombia
| | - Sara Gómez
- Scuola Normale Superiore, Classe di Scienze, Piazza dei Cavalieri 7, 56126, Pisa, Italy
| | - Nancy Acelas
- Grupo de Materiales con Impacto, Mat&mpac. Facultad de Ciencias Básicas, Universidad de Medellín, Carrera 87 No. 30-65, Medellín, 050026, Colombia
| | - Cacier Hadad
- Instituto de Química, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia
| | - Albeiro Restrepo
- Instituto de Química, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia
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7
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Generalized Energy-Based Fragmentation Approach for the Accurate Binding Energies and Raman Spectra of Methane Hydrate Clusters. CHINESE J CHEM PHYS 2022. [DOI: 10.1063/1674-0068/cjcp2111256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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8
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Evangelisti L, Feng G, Caminati W. A rotational study of the 1:1 adduct of ethanol and 1,4-dioxane. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2021; 261:120086. [PMID: 34161849 DOI: 10.1016/j.saa.2021.120086] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/09/2021] [Revised: 05/31/2021] [Accepted: 06/12/2021] [Indexed: 06/13/2023]
Abstract
The pure rotational spectra of the 1:1 ethanol - 1,4-dioxane complex and its OD mono-deuterated species have been measured using pulsed-jet Fourier transform microwave spectroscopy. Conformational predictions for the plausible isomers of ethanol - 1,4-dioxane have been carried out considering the spatial orientation of gauche/trans ethanol with respect to the chair/boat and twisted conformations of 1,4-dioxane. Using Helium for the supersonic expansion, the microwave spectrum has been observed for the most stable structure. In the observed isomer, the two subunits are linked together by an OH⋯O hydrogen bond with gauche ethanol acting as proton donor to dioxane in the chair conformation. The non-covalent interactions have been characterized using different computational approaches. A small inverse Ubbelohde effect was observed after H → D isotopic substitution in the OH⋯O hydrogen bond.
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Affiliation(s)
- Luca Evangelisti
- Dipartimento di Chimica "Giacomo Ciamician" dell'Università, Via S. Alberto 163, I-48123 Ravenna, Italy.
| | - Gang Feng
- School of Chemistry and Chemical Engineering, Chongqing University, Daxuecheng South Rd. 55, 401331, Chongqing, China.
| | - Walther Caminati
- Dipartimento di Chimica "Giacomo Ciamician" dell'Università, Via Selmi 2, I-40126 Bologna, Italy
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9
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Florez E, Acelas N, Gomez S, Hadad C, Restrepo A. To be or not to be? that is the entropic, enthalpic, and molecular interaction dilemma in the formation of (water)20 clusters and methane clathrate. Chemphyschem 2021; 23:e202100716. [PMID: 34761856 DOI: 10.1002/cphc.202100716] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2021] [Revised: 11/08/2021] [Indexed: 11/09/2022]
Abstract
A detailed analysis under a comprehensive set of theoretical and computational tools of the thermodynamical factors and of the intermolecular interactions behind the stabilization of a well known set of (water)20 cavities and of the methane clathrate is offered in this work. Beyond the available reports of experimental characterization at extreme conditions of most of the systems studied here, all clusters should be amenable to experimental detection at 1 atm and moderate temperatures since 280 K marks the boundary at which, ignoring reaction paths, formation of all clusters is no longer spontaneous from the 20H2O → (H2O)20 and CH4 + 20H2O → CH4@512 processes. As a function of temperature, a complex interplay leading to the free energy of formation occurs between the destabilizing entropic contributions, mostly due to cluster vibrations, and the stabilizing enthalpic contributions, due to intermolecular interactions and the PV term, is best illustrated by the highly symmetric 512 cage consistently showing signs of stronger intermolecular bonding despite having smaller binding energy than the other clusters. A fluxional wall of attractive non-covalent interactions, arising because of the cumulative effect of a large number of tiny individual charge transfers to the interstitial region, plays a pivotal role stabilizing the CH4@512 clathrate.
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Affiliation(s)
- Elizabeth Florez
- Universidad de Medellín: Universidad de Medellin, Ciencias basicas, COLOMBIA
| | - Nancy Acelas
- Universidad de Medellín: Universidad de Medellin, Ciencias Basicas, COLOMBIA
| | - Sara Gomez
- Scuola Normale Superiore Classe di Scienze, Chemistry, ITALY
| | - Cacier Hadad
- Universidad de Antioquía: Universidad de Antioquia, Chemistry, COLOMBIA
| | - Albeiro Restrepo
- Universidad de Antioquia, Chemistry, AA 1226, 00000, Medellin, COLOMBIA
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10
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Malloum A, Conradie J. Hydrogen bond networks of ammonia clusters: What we know and what we don’t know. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.116199] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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11
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Tripathy V, Saha A, Raghavachari K. Electrostatically embedded molecules-in-molecules approach and its application to molecular clusters. J Comput Chem 2021; 42:719-734. [PMID: 33586802 DOI: 10.1002/jcc.26492] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/17/2020] [Revised: 11/25/2020] [Accepted: 01/16/2021] [Indexed: 11/06/2022]
Abstract
We report the application of our fragment-based quantum chemistry model MIM (Molecules-In-Molecules) with electrostatic embedding. The method is termed "EE-MIM (Electrostatically Embedded Molecules-In-Molecules)" and accounts for the missing electrostatic interactions in the subsystems resulting from fragmentation. Point charges placed at the atomic positions are used to represent the interaction of each subsystem with the rest of the molecule with minimal increase in the computational cost. We have carefully calibrated this model on a range of different sizes of clusters containing up to 57 water molecules. The fragmentation methods have been applied with the goal of reproducing the unfragmented total energy at the MP2/6-311G(d,p) level. Comparative analysis has been carried out between MIM and EE-MIM to gauge the impact of electrostatic embedding. Performance of several different parameters such as the type of charge and levels of fragmentation are analyzed for the prediction of absolute energies. The use of background charges in subsystem calculations improves the performance of both one- and two-layer MIM while it is noticeably important in the case of one-layer MIM. Embedded charges for two-layer MIM are obtained from a full system calculation at the low-level. For one-layer MIM, in the absence of a full system calculation, two different types of embedded charges, namely, Geometry dependent (GD) and geometry independent (GI) charges, are used. A self-consistent procedure is employed to obtain GD charges. We have further tested our method on challenging charged systems with stronger intermolecular interactions, namely, protonated ammonia clusters (containing up to 30 ammonia molecules). The observations are similar to water clusters with improved performance using embedded charges. Overall, the performance of NPA charges as embedded charges is found to be the best.
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Affiliation(s)
- Vikrant Tripathy
- Department of Chemistry, Indiana University, Bloomington, Indiana, USA
| | - Arjun Saha
- Department of Chemistry, University of Southern California, Los Angeles, California, USA
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12
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Malloum A, Conradie J. Structures of water clusters in the solvent phase and relative stability compared to gas phase. Polyhedron 2021. [DOI: 10.1016/j.poly.2020.114856] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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13
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14
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Cheng Z, Zhao D, Ma J, Li W, Li S. An On-the-Fly Approach to Construct Generalized Energy-Based Fragmentation Machine Learning Force Fields of Complex Systems. J Phys Chem A 2020; 124:5007-5014. [DOI: 10.1021/acs.jpca.0c04526] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Affiliation(s)
- Zheng Cheng
- Institute of Theoretical and Computational Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Dongbo Zhao
- Institute of Theoretical and Computational Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Republic of China
- Kuang Yaming Honors School, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Jing Ma
- Institute of Theoretical and Computational Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Wei Li
- Institute of Theoretical and Computational Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Republic of China
| | - Shuhua Li
- Institute of Theoretical and Computational Chemistry, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Republic of China
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15
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Chen JL, Sun T, Wang YB, Wang W. Toward a less costly but accurate calculation of the CCSD(T)/CBS noncovalent interaction energy. J Comput Chem 2020; 41:1252-1260. [PMID: 32045021 DOI: 10.1002/jcc.26171] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2019] [Revised: 01/12/2020] [Accepted: 02/01/2020] [Indexed: 01/14/2023]
Abstract
The popular method of calculating the noncovalent interaction energies at the coupled-cluster single-, double-, and perturbative triple-excitations [CCSD(T)] theory level in the complete basis set (CBS) limit was to add a CCSD(T) correction term to the CBS second-order Møller-Plesset perturbation theory (MP2). The CCSD(T) correction term is the difference between the CCSD(T) and MP2 interaction energies evaluated in a medium basis set. However, the CCSD(T) calculations with the medium basis sets are still very expensive for systems with more than 30 atoms. Comparatively, the domain-based local pair natural orbital coupled-cluster method [DLPNO-CCSD(T)] can be applied to large systems with over 1,000 atoms. Considering both the computational accuracy and efficiency, in this work, we propose a new scheme to calculate the CCSD(T)/CBS interaction energies. In this scheme, the MP2/CBS term keeps intact and the CCSD(T) correction term is replaced by a DLPNO-CCSD(T) correction term which is the difference between the DLPNO-CCSD(T) and DLPNO-MP2 interaction energies evaluated in a medium basis set. The interaction energies of the noncovalent systems in the S22, HSG, HBC6, NBC10, and S66 databases were recalculated employing this new scheme. The consistent and tight settings of the truncation parameters for DLPNO-CCSD(T) and DLPNO-MP2 in this noncanonical CCSD(T)/CBS calculations lead to the maximum absolute deviation and root-mean-square deviation from the canonical CCSD(T)/CBS interaction energies of less than or equal to 0.28 kcal/mol and 0.09 kcal/mol, respectively. The high accuracy and low cost of this new computational scheme make it an excellent candidate for the study of large noncovalent systems.
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Affiliation(s)
- Jiu-Li Chen
- Department of Chemistry, and Key Laboratory of Guizhou High Performance Computational Chemistry, Guizhou University, Guiyang, China
| | - Tao Sun
- Department of Chemistry, and Key Laboratory of Guizhou High Performance Computational Chemistry, Guizhou University, Guiyang, China
| | - Yi-Bo Wang
- Department of Chemistry, and Key Laboratory of Guizhou High Performance Computational Chemistry, Guizhou University, Guiyang, China
| | - Weizhou Wang
- College of Chemistry and Chemical Engineering, and Henan Key Laboratory of Function-Oriented Porous Materials, Luoyang Normal University, Luoyang, China
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16
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Malloum A, Fifen JJ, Conradie J. Exploration of the potential energy surfaces of small ethanol clusters. Phys Chem Chem Phys 2020; 22:13201-13213. [DOI: 10.1039/d0cp01393e] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
The potential energy surfaces of small ethanol clusters, from dimer to pentamer, have been thoroughly explored using two different levels of theory. There is a clear relative energy gap between cyclic, linear and branched cyclic structures.
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Affiliation(s)
- Alhadji Malloum
- Department of Chemistry
- University of the Free State
- Bloemfontein
- South Africa
- Department of Physics
| | - Jean Jules Fifen
- Department of Physics
- Faculty of Science
- The University of Ngaoundere
- Ngaoundere
- Cameroon
| | - Jeanet Conradie
- Department of Chemistry
- University of the Free State
- Bloemfontein
- South Africa
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17
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What is the hydrophobic interaction contribution to the stabilization of micro-hydrated complexes of trimethylamine oxide (TMAO)? A joint DFT-D, QTAIM, and MESP study. J Mol Model 2019; 25:363. [DOI: 10.1007/s00894-019-4217-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/09/2019] [Accepted: 09/30/2019] [Indexed: 11/27/2022]
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18
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Chi Y, You X. Kinetics of Hydrogen Abstraction Reactions of Methyl Palmitate and Octadecane by Hydrogen Atoms. J Phys Chem A 2019; 123:3058-3067. [PMID: 30893997 DOI: 10.1021/acs.jpca.8b08802] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Hydrogen abstractions play a crucial role in the consumption of fuel molecules during fuel pyrolysis and combustion processes. In this study, a generalized energy-based fragmentation approach was used to obtain CCSD(T)-F12a/cc-pVTZ energy barriers of hydrogen abstraction reactions by hydrogen atoms from methyl palmitate (C15H31COOCH3), a key component of biodiesel. The accuracy of M06-2X/6-311++G(d,p) for obtaining the energy barriers was evaluated against the CCSD(T) results. Based on the quantum chemical results, the high-pressure-limit rate constants for C15H31COOCH3 + H were calculated and compared with those of octadecane ( n-C18H38) reacting with H. The treatment of hindered internal rotations for such long-chain molecules was discussed and the rate rules for different abstraction sites were summarized. The results show that in the C15H31COOCH3 + H system, the α hydrogen abstraction no longer plays a dominant role as in small methyl esters, and the hydrogen atoms of CH2 groups far away from the ester group are more easily abstracted than those near the ester group.
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Affiliation(s)
- Yawei Chi
- Center for Combustion Energy , Tsinghua University , Beijing 100084 , China.,Key Laboratory for Thermal Science and Power Engineering of Ministry of Education , Tsinghua University , Beijing 100084 , China
| | - Xiaoqing You
- Center for Combustion Energy , Tsinghua University , Beijing 100084 , China.,Key Laboratory for Thermal Science and Power Engineering of Ministry of Education , Tsinghua University , Beijing 100084 , China
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19
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Malloum A, Fifen JJ, Conradie J. Exploration of the potential energy surface of the ethanol hexamer. J Chem Phys 2019; 150:124308. [DOI: 10.1063/1.5085843] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
Affiliation(s)
- Alhadji Malloum
- Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
| | - Jean Jules Fifen
- Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
| | - Jeanet Conradie
- Department of Chemistry, University of the Free State, P.O. Box 339, Bloemfontein 9300, South Africa
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20
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Malloum A, Fifen JJ, Dhaouadi Z, Nana Engo SG, Conradie J. Structures, relative stability and binding energies of neutral water clusters, (H2O)2–30. NEW J CHEM 2019. [DOI: 10.1039/c9nj01659g] [Citation(s) in RCA: 34] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
We have revised the structures of neutral water clusters, (H2O)n=2–30, with the affordable M06-2X functional, presenting up to 25 isomers for each cluster size.
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Affiliation(s)
- Alhadji Malloum
- Department of Physics
- Faculty of Science
- University of Ngaoundere
- Ngaoundere
- Cameroon
| | - Jean Jules Fifen
- Department of Physics
- Faculty of Science
- University of Ngaoundere
- Ngaoundere
- Cameroon
| | - Zoubeida Dhaouadi
- Laboratoire de Spectroscopie Atomique Moléculaire et Applications
- Faculté des Sciences de Tunis
- Université de Tunis El Manar
- Tunis
- Tunisia
| | - Serge Guy Nana Engo
- Department of Physics
- Faculty of Science
- University of Ngaoundere
- Ngaoundere
- Cameroon
| | - Jeanet Conradie
- Department of Chemistry
- University of the Free State
- Bloemfontein
- South Africa
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21
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Debnath S, Sengupta A, Jose KVJ, Raghavachari K. Fragment-Based Approaches for Supramolecular Interaction Energies: Applications to Foldamers and Their Complexes with Anions. J Chem Theory Comput 2018; 14:6226-6239. [DOI: 10.1021/acs.jctc.8b00525] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Sibali Debnath
- Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States
| | - Arkajyoti Sengupta
- Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States
| | - K. V. Jovan Jose
- Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States
| | - Krishnan Raghavachari
- Department of Chemistry, Indiana University, Bloomington, Indiana 47405, United States
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22
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Lao KU, Herbert JM. A Simple Correction for Nonadditive Dispersion within Extended Symmetry-Adapted Perturbation Theory (XSAPT). J Chem Theory Comput 2018; 14:5128-5142. [DOI: 10.1021/acs.jctc.8b00527] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ka Un Lao
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, United States
| | - John M. Herbert
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, United States
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23
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Malloum A, Fifen JJ, Conradie J. Structures and spectroscopy of the ammonia eicosamer, (NH3)n=20. J Chem Phys 2018; 149:024304. [DOI: 10.1063/1.5031790] [Citation(s) in RCA: 30] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023] Open
Affiliation(s)
- Alhadji Malloum
- Faculty of Science, Department of Physics, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
| | - Jean Jules Fifen
- Faculty of Science, Department of Physics, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
| | - Jeanet Conradie
- Department of Chemistry, University of the Free State, P.O. Box 339, Bloemfontein 9300, South Africa
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24
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Thapa B, Beckett D, Jovan Jose KV, Raghavachari K. Assessment of Fragmentation Strategies for Large Proteins Using the Multilayer Molecules-in-Molecules Approach. J Chem Theory Comput 2018; 14:1383-1394. [DOI: 10.1021/acs.jctc.7b01198] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Affiliation(s)
- Bishnu Thapa
- Department of Chemistry, Indiana University, Bloomington 47405, Indiana, United States
| | - Daniel Beckett
- Department of Chemistry, Indiana University, Bloomington 47405, Indiana, United States
| | - K. V. Jovan Jose
- Department of Chemistry, Indiana University, Bloomington 47405, Indiana, United States
| | - Krishnan Raghavachari
- Department of Chemistry, Indiana University, Bloomington 47405, Indiana, United States
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25
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León-Merino I, Rodríguez-Segundo R, Arismendi-Arrieta DJ, Prosmiti R. Assessing Intermolecular Interactions in Guest-Free Clathrate Hydrate Systems. J Phys Chem A 2018; 122:1479-1487. [PMID: 29328645 DOI: 10.1021/acs.jpca.7b12107] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Abstract
Recently, empty hydrate structures sI, sII, sH, and others have been proposed as low-density ice structures by both experimental observations and computer simulations. Some of them have been synthesized in the laboratory, which motivates further investigations on the stability of such guest-free clathrate structures. Using semiempirical and ab initio-based water models, as well as dispersion-corrected density functional theory approaches, we predict their stability, including cooperative many-body effects, in comparison with reference data from converged wave function-based DF-MP2 electronic structure calculations. We show that large basis sets and counterpoise corrections are required to improve convergence in the interaction/binding energies for such systems. Therefore, extrapolation schemes based on triple/quadruple and quadruple/quintuple ζ quality basis sets are used to reach high accuracy. Eleven different water structures corresponding to dodecahedron, edge sharing, face sharing, and fused cubes, as a part of the WATER27 database, as well as cavities from the sI, sII, and sH clathrate hydrates formed by 20, 24, 28, and 36 water molecules, are employed, and new benchmark energies are reported. Using these benchmark sets of interaction energies, we assess the performance of both analytical models and direct DFT calculations for such clathrate-like systems. In particular, seven popular water models (TIP4P/ice, TIP4P/2005, q-TIP4P/F, TTM2-F, TTM3-F, TTM4-F, and MB-pol) available in the literature, and nine density functional approximations (3 meta-GGAs, 3 hybrids, and 3 range separated functionals) are used to investigate their accuracy. By including dispersion corrections, our results show that errors in the interaction energies are reduced for most of the DFT functionals. Despite the difficulties faced by current water models and DFT functionals to accurately describe the interactions in such water systems, we found some general trends that could serve to extend their applicability to larger systems.
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Affiliation(s)
- Iván León-Merino
- Institute of Fundamental Physics (IFF-CSIC), CSIC , Serrano 123, 28006 Madrid, Spain
| | | | | | - Rita Prosmiti
- Institute of Fundamental Physics (IFF-CSIC), CSIC , Serrano 123, 28006 Madrid, Spain
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26
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Li Y, Yuan D, Wang Q, Li W, Li S. Accurate prediction of the structure and vibrational spectra of ionic liquid clusters with the generalized energy-based fragmentation approach: critical role of ion-pair-based fragmentation. Phys Chem Chem Phys 2018; 20:13547-13557. [DOI: 10.1039/c8cp00513c] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The GEBF method with the ion-pair-based fragmentation has been developed to facilitate ab initio calculations of general ionic liquid clusters.
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Affiliation(s)
- Yunzhi Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Dandan Yuan
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Qingchun Wang
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Wei Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Shuhua Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
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27
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Yuan D, Li Y, Li W, Li S. Structures and properties of large supramolecular coordination complexes predicted with the generalized energy-based fragmentation method. Phys Chem Chem Phys 2018; 20:28894-28902. [DOI: 10.1039/c8cp05548c] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The generalized energy-based fragmentation (GEBF) method has been extended to facilitate ab initio calculations of large supramolecular coordination complexes.
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Affiliation(s)
- Dandan Yuan
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing 210023
| | - Yunzhi Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing 210023
| | - Wei Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing 210023
| | - Shuhua Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing 210023
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28
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Alipour M. Gauging the performance of some density functionals including dispersion and nonlocal corrections for relative energies of water 20-mers. J Mol Graph Model 2017; 75:132-136. [PMID: 28570983 DOI: 10.1016/j.jmgm.2017.05.006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2017] [Revised: 05/10/2017] [Accepted: 05/11/2017] [Indexed: 11/17/2022]
Abstract
Currently, development of density functional theory approximations and their benchmarking for accurately modeling different types of molecular interactions become a very active field of research. In this report, performance of the dispersion (D3) and nonlocal (NL) corrected density functionals has been compared with generalized energy-based fragmentation approach at the complete basis set limit for predicting the relative energies of 10 low-energy isomers of water nanoclusters (H2O)20 as an illustrative example of hydrogen bonded systems. Considering a variety of exchange-correlation density functionals in combination with D3 and NL corrections we find that the D3 based approximations outperform the functionals incorporating NL correction. It is also shown that the LC-ωPBE-D3 and rPW86PBE-NL functionals have the best trend from the viewpoint of the order of stabilities in water nanoclusters under study.
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Affiliation(s)
- Mojtaba Alipour
- Department of Chemistry, College of Sciences, Shiraz University, Shiraz, Iran.
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29
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Zhang L, Li W, Fang T, Li S. Accurate Relative Energies and Binding Energies of Large Ice–Liquid Water Clusters and Periodic Structures. J Phys Chem A 2017; 121:4030-4038. [DOI: 10.1021/acs.jpca.7b03376] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Lei Zhang
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China
| | - Wei Li
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China
| | - Tao Fang
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China
| | - Shuhua Li
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, China
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30
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Yuan D, Li Y, Ni Z, Pulay P, Li W, Li S. Benchmark Relative Energies for Large Water Clusters with the Generalized Energy-Based Fragmentation Method. J Chem Theory Comput 2017; 13:2696-2704. [DOI: 10.1021/acs.jctc.7b00284] [Citation(s) in RCA: 29] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
- Dandan Yuan
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing 210023, P. R. China
| | - Yunzhi Li
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing 210023, P. R. China
| | - Zhigang Ni
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing 210023, P. R. China
| | - Peter Pulay
- Department
of Chemistry and Biochemistry, University of Arkansas, Fayetteville, Arkansas 72701, United States
| | - Wei Li
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing 210023, P. R. China
| | - Shuhua Li
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing 210023, P. R. China
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31
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Chen GD, Weng J, Song G, Li ZH. Generalized Switch Functions in the Multilevel Many-Body Expansion Method and Its Application to Water Clusters. J Chem Theory Comput 2017; 13:2010-2020. [DOI: 10.1021/acs.jctc.7b00144] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Affiliation(s)
- Guo Dong Chen
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis & Innovative Materials, Department of Chemistry, Fudan University, Shanghai 200433, China
| | - Jingwei Weng
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis & Innovative Materials, Department of Chemistry, Fudan University, Shanghai 200433, China
| | - Guoliang Song
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis & Innovative Materials, Department of Chemistry, Fudan University, Shanghai 200433, China
| | - Zhen Hua Li
- Collaborative Innovation Center of Chemistry for Energy Material, Shanghai Key Laboratory of Molecular Catalysis & Innovative Materials, Department of Chemistry, Fudan University, Shanghai 200433, China
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32
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Fang T, Li Y, Li S. Generalized energy‐based fragmentation approach for modeling condensed phase systems. WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL MOLECULAR SCIENCE 2017. [DOI: 10.1002/wcms.1297] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Tao Fang
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of Education, Institute of Theoretical and Computational ChemistryNanjing University Nanjing P. R. China
| | - Yunzhi Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of Education, Institute of Theoretical and Computational ChemistryNanjing University Nanjing P. R. China
| | - Shuhua Li
- School of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of Education, Institute of Theoretical and Computational ChemistryNanjing University Nanjing P. R. China
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33
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Lao KU, Liu KY, Richard RM, Herbert JM. Understanding the many-body expansion for large systems. II. Accuracy considerations. J Chem Phys 2017; 144:164105. [PMID: 27131529 DOI: 10.1063/1.4947087] [Citation(s) in RCA: 57] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Abstract
To complement our study of the role of finite precision in electronic structure calculations based on a truncated many-body expansion (MBE, or "n-body expansion"), we examine the accuracy of such methods in the present work. Accuracy may be defined either with respect to a supersystem calculation computed at the same level of theory as the n-body calculations, or alternatively with respect to high-quality benchmarks. Both metrics are considered here. In applications to a sequence of water clusters, (H2O)N=6-55 described at the B3LYP/cc-pVDZ level, we obtain mean absolute errors (MAEs) per H2O monomer of ∼1.0 kcal/mol for two-body expansions, where the benchmark is a B3LYP/cc-pVDZ calculation on the entire cluster. Three- and four-body expansions exhibit MAEs of 0.5 and 0.1 kcal/mol/monomer, respectively, without resort to charge embedding. A generalized many-body expansion truncated at two-body terms [GMBE(2)], using 3-4 H2O molecules per fragment, outperforms all of these methods and affords a MAE of ∼0.02 kcal/mol/monomer, also without charge embedding. GMBE(2) requires significantly fewer (although somewhat larger) subsystem calculations as compared to MBE(4), reducing problems associated with floating-point roundoff errors. When compared to high-quality benchmarks, we find that error cancellation often plays a critical role in the success of MBE(n) calculations, even at the four-body level, as basis-set superposition error can compensate for higher-order polarization interactions. A many-body counterpoise correction is introduced for the GMBE, and its two-body truncation [GMBCP(2)] is found to afford good results without error cancellation. Together with a method such as ωB97X-V/aug-cc-pVTZ that can describe both covalent and non-covalent interactions, the GMBE(2)+GMBCP(2) approach provides an accurate, stable, and tractable approach for large systems.
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Affiliation(s)
- Ka Un Lao
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA
| | - Kuan-Yu Liu
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA
| | - Ryan M Richard
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA
| | - John M Herbert
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, USA
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34
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Li W, Li Y, Lin R, Li S. Generalized Energy-Based Fragmentation Approach for Localized Excited States of Large Systems. J Phys Chem A 2016; 120:9667-9677. [DOI: 10.1021/acs.jpca.6b11193] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Wei Li
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Repubic of China
| | - Yunzhi Li
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Repubic of China
| | - Ruochen Lin
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Repubic of China
| | - Shuhua Li
- Institute of Theoretical
and Computational Chemistry, Key Laboratory of Mesoscopic Chemistry
of MOE, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210023, People’s Repubic of China
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35
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Affiliation(s)
- John F. Ouyang
- Department of Chemistry, National University of Singapore, 3 Science
Drive 3, Singapore 117543
| | - Ryan P. A. Bettens
- Department of Chemistry, National University of Singapore, 3 Science
Drive 3, Singapore 117543
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36
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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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37
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Saha A, Raghavachari K. Analysis of Different Fragmentation Strategies on a Variety of Large Peptides: Implementation of a Low Level of Theory in Fragment-Based Methods Can Be a Crucial Factor. J Chem Theory Comput 2016; 11:2012-23. [PMID: 26574406 DOI: 10.1021/ct501045s] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
We have investigated the performance of two classes of fragmentation methods developed in our group (Molecules-in-Molecules (MIM) and Many-Overlapping-Body (MOB) expansion), to reproduce the unfragmented MP2 energies on a test set composed of 10 small to large biomolecules. They have also been assessed to recover the relative energies of different motifs of the acetyl(ala)18NH2 system. Performance of different bond-cutting environments and the use of Hartree-Fock and different density functionals (as a low level of theory) in conjunction with the fragmentation strategies have been analyzed. Our investigation shows that while a low level of theory (for recovering long-range interactions) may not be necessary for small peptides, it provides a very effective strategy to accurately reproduce the total and relative energies of larger peptides such as the different motifs of the acetyl(ala)18NH2 system. Employing M06-2X as the low level of theory, the calculated mean total energy deviation (maximum deviation) in the total MP2 energies for the 10 molecules in the test set at MIM(d=3.5Å), MIM(η=9), and MOB(d=5Å) are 1.16 (2.31), 0.72 (1.87), and 0.43 (2.02) kcal/mol, respectively. The excellent performance suggests that such fragment-based methods should be of general use for the computation of accurate energies of large biomolecular systems.
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Affiliation(s)
- Arjun Saha
- Department of Chemistry, Indiana University , Bloomington, Indiana 47405, United States
| | - Krishnan Raghavachari
- Department of Chemistry, Indiana University , Bloomington, Indiana 47405, United States
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38
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Zhang J, Dolg M. Third-Order Incremental Dual-Basis Set Zero-Buffer Approach for Large High-Spin Open-Shell Systems. J Chem Theory Comput 2016; 11:962-8. [PMID: 26579750 DOI: 10.1021/ct501052e] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023]
Abstract
The third-order incremental dual-basis set zero-buffer approach (inc3-db-B0) is an efficient, accurate, and black-box quantum chemical method for obtaining correlation energies of large systems, and it has been successfully applied to many real chemical problems. In this work, we extend this approach to high-spin open-shell systems. In the open-shell approach, we will first decompose the occupied orbitals of a system into several domains by a K-means clustering algorithm. The essential part is that we preserve the active (singly occupied) orbitals in all the calculations of the domain correlation energies. The duplicated contributions of the active orbitals to the correlation energy are subtracted from the incremental expansion. All techniques of truncating the virtual space such as the B0 approximation can be applied. This open-shell inc3-db-B0 approach is combined with the CCSD and CCSD(T) methods and applied to the computations of a singlet-triplet gap and an electron detachment process. Our approach exhibits an accuracy better than 0.6 kcal/mol or 0.3 eV compared with the standard implementation, while it saves a large amount of the computational time and can be efficiently parallelized.
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Affiliation(s)
- Jun Zhang
- Institute for Theoretical Chemistry, University of Cologne , Greinstraße 4, D-50939 Cologne, Germany
| | - Michael Dolg
- Institute for Theoretical Chemistry, University of Cologne , Greinstraße 4, D-50939 Cologne, Germany
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39
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Fang T, Jia J, Li S. Vibrational Spectra of Molecular Crystals with the Generalized Energy-Based Fragmentation Approach. J Phys Chem A 2016; 120:2700-11. [DOI: 10.1021/acs.jpca.5b10927] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tao Fang
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of
Education, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
| | - Junteng Jia
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of
Education, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
| | - Shuhua Li
- School of Chemistry and Chemical
Engineering, Key Laboratory of Mesoscopic Chemistry of Ministry of
Education, Institute of Theoretical and Computational Chemistry, Nanjing University, Nanjing 210093, People’s Republic of China
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40
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Li W, Ni Z, Li S. Cluster-in-molecule local correlation method for post-Hartree–Fock calculations of large systems. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1139755] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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41
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Zhang L, Li W, Fang T, Li S. Ab initio molecular dynamics with intramolecular noncovalent interactions for unsolvated polypeptides. Theor Chem Acc 2016. [DOI: 10.1007/s00214-015-1799-z] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
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42
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Yuan D, Shen X, Li W, Li S. Are fragment-based quantum chemistry methods applicable to medium-sized water clusters? Phys Chem Chem Phys 2016; 18:16491-500. [DOI: 10.1039/c6cp01931e] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
The GEBF method is demonstrated to be more accurate than the EE-MB method for medium-sized water clusters.
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Affiliation(s)
- Dandan Yuan
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Xiaoling Shen
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Wei Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
| | - Shuhua Li
- School of Chemistry and Chemical Engineering
- Key Laboratory of Mesoscopic Chemistry of Ministry of Education
- Institute of Theoretical and Computational Chemistry
- Nanjing University
- Nanjing
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43
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Dong H, Li W, Sun J, Li S, Klein ML. Understanding the Boron–Nitrogen Interaction and Its Possible Implications in Drug Design. J Phys Chem B 2015; 119:14393-401. [DOI: 10.1021/acs.jpcb.5b07783] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hao Dong
- Kuang
Yaming Honors School, Nanjing University, Nanjing, P.R. China
- Institute
for Computational Molecular Science, Temple University, 1900 North
12th Street, Philadelphia, Pennsylvania 19122-6078, United States
| | - Wei Li
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing, P.R. China
| | - Jianwei Sun
- Department
of Physics, Temple University, 1900 North 12th Street, Philadelphia, Pennsylvania 19122-6078, United States
| | - Shuhua Li
- School
of Chemistry and Chemical Engineering, Key Laboratory of Mesoscopic
Chemistry of Ministry of Education, Institute of Theoretical and Computational
Chemistry, Nanjing University, Nanjing, P.R. China
| | - Michael L. Klein
- Institute
for Computational Molecular Science, Temple University, 1900 North
12th Street, Philadelphia, Pennsylvania 19122-6078, United States
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44
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Nishimoto Y, Fedorov DG, Irle S. Third-order density-functional tight-binding combined with the fragment molecular orbital method. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2015.07.022] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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45
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Sahu N, Khire SS, Gadre SR. Structures, energetics and vibrational spectra of (H2O)32clusters: a journey from model potentials to correlated theory. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1062150] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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46
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Raghavachari K, Saha A. Accurate Composite and Fragment-Based Quantum Chemical Models for Large Molecules. Chem Rev 2015; 115:5643-77. [PMID: 25849163 DOI: 10.1021/cr500606e] [Citation(s) in RCA: 183] [Impact Index Per Article: 20.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Krishnan Raghavachari
- Department of Chemistry, Indiana University, 800 E. Kirkwood Avenue, Bloomington, Indiana 47405, United States
| | - Arjun Saha
- Department of Chemistry, Indiana University, 800 E. Kirkwood Avenue, Bloomington, Indiana 47405, United States
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47
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Affiliation(s)
- Michael A Collins
- †Research School of Chemistry, Australian National University, Canberra, ACT 0200, Australia
| | - Ryan P A Bettens
- ‡Department of Chemistry, National University of Singapore, 3 Science Drive 3, Singapore 117543, Singapore
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48
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Wang K, Lv J, Miao J. Assessment of density functionals and force field methods on anion–π interaction in heterocyclic calix complexes. Theor Chem Acc 2015. [DOI: 10.1007/s00214-015-1616-8] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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49
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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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50
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Lao KU, Herbert JM. Accurate and Efficient Quantum Chemistry Calculations for Noncovalent Interactions in Many-Body Systems: The XSAPT Family of Methods. J Phys Chem A 2014; 119:235-52. [DOI: 10.1021/jp5098603] [Citation(s) in RCA: 72] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Ka Un Lao
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, United States
| | - John M. Herbert
- Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, United States
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