Conformational energies of microsolvated Na+ clusters with protic and aprotic solvents from GFNn‐xTB methods

Performance of contemporary tight‐binding semiempirical GFNn‐xTB methods for the conformational energies of singly charged sodium clusters Na+(S)n (n = 4–8) with 3 protic and 8 aprotic solvents is examined against the reference RI‐MP2/CBS method. The median Pearson correlation coefficients of ρ = 0.84 (GFN2‐xTB) and ρ = 0.82 (GFN1‐xTB) do not give the clear preference to any tested approach. GFN1‐xTB method demonstrates more stable performance than its GFN2‐xTB successor with the average mean absolute errors (MAEs)/mean signed errors (MSEs) of 1.2/0.2 and 2.3/1.6 kcal mol−1, respectively. Conformational energies produced by the computationally efficient DFT functional PBE and double‐ζ basis set complemented with –D3(BJ) dispersion correction are suitable for the preliminary sampling (median ρ = 0.93), but should be used with a caution for the calculations of the average ensemble properties (MAE/MSE = 1.7/1.1 kcal mol−1). Higher‐ranking PBE0‐D3(BJ) and ωB97M‐V with triple‐ζ basis sets yield significantly lower MAEs/MSEs of 0.55/0.20 and 0.51/0.23 kcal mol−1, respectively.

[1]  Y. Minenkov,et al.  16OSTM10: a new open-shell transition metal conformational energy database to challenge contemporary semiempirical and force field methods. , 2022, Physical chemistry chemical physics : PCCP.

[2]  Andreas Hansen,et al.  Automated Molecular Cluster Growing for Explicit Solvation by Efficient Force Field and Tight Binding Methods. , 2022, Journal of chemical theory and computation.

[3]  F. Neese Software update: The ORCA program system—Version 5.0 , 2022, WIREs Computational Molecular Science.

[4]  A. Malloum,et al.  Solvation free energy of the proton in acetonitrile , 2021, Journal of Molecular Liquids.

[5]  J. Conradie,et al.  Free energy and enthalpy data of neutral and protonated clusters in the solvent phase , 2021, Data in brief.

[6]  J. Conradie,et al.  Structures of water clusters in the solvent phase and relative stability compared to gas phase , 2021 .

[7]  Andreas Hansen,et al.  Theoretical study on conformational energies of transition metal complexes. , 2020, Physical chemistry chemical physics : PCCP.

[8]  J. Conradie,et al.  Solvent effects on the structures of the neutral ammonia clusters , 2020 .

[9]  Jun Zhang,et al.  Global optimization of chemical cluster structures: Methods, applications, and challenges , 2020 .

[10]  C. Bannwarth,et al.  Extended tight‐binding quantum chemistry methods , 2020 .

[11]  R. Rousseau,et al.  Structure and Stability of the Ionic Liquid Clusters [EMIM]n[BF4]n+1- (n = 1 - 9): Implications for Electrochemical Separations. , 2020, The journal of physical chemistry letters.

[12]  H. Vehkamäki,et al.  Impact of Quantum Chemistry Parameter Choices and Cluster Distribution Model Settings on Modeled Atmospheric Particle Formation Rates. , 2020, The journal of physical chemistry. A.

[13]  S. Spicher,et al.  Robust Atomistic Modeling of Materials, Organometallic, and Biochemical Systems , 2020, Angewandte Chemie.

[14]  J. Conradie,et al.  Structures of the solvated copper(ii) ion in ammonia at various temperatures , 2020 .

[15]  Stefan Grimme,et al.  Automated exploration of the low-energy chemical space with fast quantum chemical methods. , 2020, Physical chemistry chemical physics : PCCP.

[16]  Alhadji Malloum,et al.  Large‐Sized Ammonia Clusters and Solvation Energies of the Proton in Ammonia , 2020, J. Comput. Chem..

[17]  J. R. Pliego,et al.  Hybrid discrete‐continuum solvation methods , 2020, WIREs Computational Molecular Science.

[18]  J. Conradie,et al.  Structures of solvated ferrous ion clusters in ammonia and spin-crossover at various temperatures , 2019, New Journal of Chemistry.

[19]  Sandip De,et al.  Machine Learning Guided Approach for Studying Solvation Environments. , 2019, Journal of chemical theory and computation.

[20]  S. Grimme Exploration of Chemical Compound, Conformer, and Reaction Space with Meta-Dynamics Simulations Based on Tight-Binding Quantum Chemical Calculations. , 2019, Journal of chemical theory and computation.

[21]  Dmitry I. Sharapa,et al.  A Robust and Cost-Efficient Scheme for Accurate Conformational Energies of Organic Molecules. , 2018, Chemphyschem : a European journal of chemical physics and physical chemistry.

[22]  C. Bannwarth,et al.  GFN2-xTB-An Accurate and Broadly Parametrized Self-Consistent Tight-Binding Quantum Chemical Method with Multipole Electrostatics and Density-Dependent Dispersion Contributions. , 2018, Journal of chemical theory and computation.

[23]  J. Conradie,et al.  Solvation energies of the proton in methanol revisited and temperature effects. , 2018, Physical chemistry chemical physics : PCCP.

[24]  Lin Cheng,et al.  Structural Stability and Evolution of Scandium-Doped Silicon Clusters: Evolution of Linked to Encapsulated Structures and Its Influence on the Prediction of Electron Affinities for ScSi n ( n = 4-16) Clusters. , 2018, Inorganic chemistry.

[25]  Shaowen Zhang,et al.  Self-Catalytic Reaction of SO3 and NH3 To Produce Sulfamic Acid and Its Implication to Atmospheric Particle Formation. , 2018, Journal of the American Chemical Society.

[26]  The first water coordination sphere of lanthanide(iii) motexafins (Ln-Motex2+, Ln = La, Gd, Lu) and its effects on structures, reduction potentials and UV-vis absorption spectra. Theoretical studies. , 2017, Physical chemistry chemical physics : PCCP.

[27]  Stefan Grimme,et al.  A Robust and Accurate Tight-Binding Quantum Chemical Method for Structures, Vibrational Frequencies, and Noncovalent Interactions of Large Molecular Systems Parametrized for All spd-Block Elements (Z = 1-86). , 2017, Journal of chemical theory and computation.

[28]  F. Neese,et al.  Pair natural orbital and canonical coupled cluster reaction enthalpies involving light to heavy alkali and alkaline earth metals: the importance of sub-valence correlation. , 2017, Physical chemistry chemical physics : PCCP.

[29]  Frank Neese,et al.  Automatic Generation of Auxiliary Basis Sets. , 2017, Journal of chemical theory and computation.

[30]  S. Shaik,et al.  Mechanistic Variants in Gas-Phase Metal-Oxide Mediated Activation of Methane at Ambient Conditions. , 2016, Journal of the American Chemical Society.

[31]  M. Head‐Gordon,et al.  ωB97M-V: A combinatorially optimized, range-separated hybrid, meta-GGA density functional with VV10 nonlocal correlation. , 2016, The Journal of chemical physics.

[32]  Jun Zhang,et al.  Global optimization of clusters of rigid molecules using the artificial bee colony algorithm. , 2016, Physical chemistry chemical physics : PCCP.

[33]  Frank Neese,et al.  Sparse maps--A systematic infrastructure for reduced-scaling electronic structure methods. II. Linear scaling domain based pair natural orbital coupled cluster theory. , 2016, The Journal of chemical physics.

[34]  J. R. Pliego,et al.  Cluster-continuum quasichemical theory calculation of the lithium ion solvation in water, acetonitrile and dimethyl sulfoxide: an absolute single-ion solvation free energy scale. , 2015, Physical chemistry chemical physics : PCCP.

[35]  Jun Zhang,et al.  ABCluster: the artificial bee colony algorithm for cluster global optimization. , 2015, Physical chemistry chemical physics : PCCP.

[36]  Y. Marcus Ion Solvation in Neat Solvents , 2015 .

[37]  Frank Neese,et al.  Natural triple excitations in local coupled cluster calculations with pair natural orbitals. , 2013, The Journal of chemical physics.

[38]  Frank Neese,et al.  An efficient and near linear scaling pair natural orbital based local coupled cluster method. , 2013, The Journal of chemical physics.

[39]  Alexander D. MacKerell,et al.  Extension of the CHARMM general force field to sulfonyl‐containing compounds and its utility in biomolecular simulations , 2012, J. Comput. Chem..

[40]  James J. P. Stewart,et al.  Optimization of parameters for semiempirical methods VI: more modifications to the NDDO approximations and re-optimization of parameters , 2012, Journal of Molecular Modeling.

[41]  Frank Neese,et al.  The ORCA program system , 2012 .

[42]  Stefan Grimme,et al.  Effect of the damping function in dispersion corrected density functional theory , 2011, J. Comput. Chem..

[43]  Angela K. Wilson,et al.  Gaussian basis sets for use in correlated molecular calculations. VII. Valence, core-valence, and scalar relativistic basis sets for Li, Be, Na, and Mg , 2011 .

[44]  Troy Van Voorhis,et al.  Nonlocal van der Waals density functional: the simpler the better. , 2010, The Journal of chemical physics.

[45]  S. Grimme,et al.  A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. , 2010, The Journal of chemical physics.

[46]  Alexander D. MacKerell,et al.  CHARMM general force field: A force field for drug‐like molecules compatible with the CHARMM all‐atom additive biological force fields , 2009, J. Comput. Chem..

[47]  F. Neese,et al.  Efficient, approximate and parallel Hartree–Fock and hybrid DFT calculations. A ‘chain-of-spheres’ algorithm for the Hartree–Fock exchange , 2009 .

[48]  S. Bachrach Microsolvation of glycine: a DFT study. , 2008, The journal of physical chemistry. A.

[49]  J. Stewart Optimization of parameters for semiempirical methods V: Modification of NDDO approximations and application to 70 elements , 2007, Journal of molecular modeling.

[50]  D. Laikov A new class of atomic basis functions for accurate electronic structure calculations of molecules , 2005 .

[51]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[52]  Dimitri N. Laikov,et al.  PRIRODA-04: a quantum-chemical program suite. New possibilities in the study of molecular systems with the application of parallel computing , 2005 .

[53]  L. Curtiss,et al.  Heats of formation of alkali metal and alkaline earth metal oxides and hydroxides: Surprisingly demanding targets for high-level ab initio procedures , 2003 .

[54]  Jan M. L. Martin,et al.  Alkali and alkaline earth metal compounds: core—valence basis sets and importance of subvalence correlation , 2003, physics/0301056.

[55]  F. Weigend,et al.  Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations , 2002 .

[56]  J. Riveros,et al.  The Cluster−Continuum Model for the Calculation of the Solvation Free Energy of Ionic Species , 2001 .

[57]  V. Barone,et al.  Toward reliable density functional methods without adjustable parameters: The PBE0 model , 1999 .

[58]  David,et al.  Gaussian basis sets for use in correlated molecular calculations . Ill . The atoms aluminum through argon , 1999 .

[59]  F. Weigend,et al.  RI-MP2: first derivatives and global consistency , 1997 .

[60]  D. Feller Ab Initio Study of M+:18-Crown-6 Microsolvation , 1997 .

[61]  Jan M. L. Martin Ab initio total atomization energies of small molecules — towards the basis set limit , 1996 .

[62]  F. Matthias Bickelhaupt,et al.  The Effect of Microsolvation on E2 and SN2 Reactions: Theoretical Study of the Model System F− + C2H5F + nHF , 1996 .

[63]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[64]  S. Papson,et al.  “Model” , 1981 .