Self-interaction error in DFT-based modelling of ionic liquids.

The modern computer simulations of potential green solvents of the future, involving the room temperature ionic liquids, heavily rely on density functional theory (DFT). In order to verify the appropriateness of the common DFT methods, we have investigated the effect of the self-interaction error (SIE) on the results of DFT calculations for 24 ionic pairs and 48 ionic associates. The magnitude of the SIE is up to 40 kJ mol(-1) depending on the anion choice. Most strongly the SIE influences the calculation results of ionic associates that contain halide anions. For these associates, the range-separated density functionals suppress the SIE; for other cases, the revPBE density functional with dispersion correction and triple-ζ Slater-type basis is suitable for computationally inexpensive and reasonably accurate DFT calculations.

[1]  Christian Schröder,et al.  Comparing reduced partial charge models with polarizable simulations of ionic liquids. , 2012, Physical chemistry chemical physics : PCCP.

[2]  G. Kamath,et al.  Elucidating Interactions Between Ionic Liquids and Polycyclic Aromatic Hydrocarbons by Quantum Chemical Calculations , 2013 .

[3]  S. Siahrostami,et al.  An insight into microscopic properties of aprotic ionic liquids: A DFT study , 2010 .

[4]  Chengbu Liu,et al.  Structure of 1-butylpyridinium tetrafluoroborate ionic liquid: quantum chemistry and molecular dynamic simulation studies. , 2010, The journal of physical chemistry. A.

[5]  D. Cao,et al.  Improved classical united-atom force field for imidazolium-based ionic liquids: tetrafluoroborate, hexafluorophosphate, methylsulfate, trifluoromethylsulfonate, acetate, trifluoroacetate, and bis(trifluoromethylsulfonyl)amide. , 2011, The journal of physical chemistry. B.

[6]  Xiaomin Liu,et al.  Understanding structures and hydrogen bonds of ionic liquids at the electronic level. , 2012, The journal of physical chemistry. B.

[7]  A. Kornyshev,et al.  Ionic liquids at electrified interfaces. , 2014, Chemical reviews.

[8]  M. Salanne Simulations of room temperature ionic liquids: from polarizable to coarse-grained force fields. , 2015, Physical chemistry chemical physics : PCCP.

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

[10]  E. Maginn,et al.  A simple AIMD approach to derive atomic charges for condensed phase simulation of ionic liquids. , 2012, The journal of physical chemistry. B.

[11]  J. M. García de la Vega,et al.  Electron density analysis of 1-butyl-3-methylimidazolium chloride ionic liquid , 2014, Journal of Molecular Modeling.

[12]  G. Iafrate,et al.  Self-consistent calculations of atomic properties using self-interaction-free exchange-only Kohn-Sham potentials. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[13]  G. Scuseria,et al.  Scaling down the Perdew-Zunger self-interaction correction in many-electron regions. , 2006, The Journal of chemical physics.

[14]  Wei Zhao,et al.  Performance of quantum chemically derived charges and persistence of ion cages in ionic liquids. A molecular dynamics simulations study of 1-n-butyl-3-methylimidazolium bromide. , 2011, The journal of physical chemistry. B.

[15]  E. Izgorodina,et al.  Assessment of atomic partial charge schemes for polarisation and charge transfer effects in ionic liquids. , 2013, Physical chemistry chemical physics : PCCP.

[16]  J. M. García de la Vega,et al.  Alkyl substituent effect on density, viscosity and chemical behavior of 1-alkyl-3-methylimidazolium chloride , 2014, Journal of Molecular Modeling.

[17]  S. Saha,et al.  Relationship between stabilization energy and thermophysical properties of different imidazolium ionic liquids: DFT studies , 2013 .

[18]  B. Kirchner,et al.  Short Time Dynamics of Ionic Liquids in AIMD-Based Power Spectra. , 2012, Journal of chemical theory and computation.

[19]  I. Gould,et al.  Structural characterization of the 1-butyl-3-methylimidazolium chloride ion pair using ab initio methods. , 2006, The journal of physical chemistry. A.

[20]  D. Macfarlane,et al.  Assessment of Kohn-Sham density functional theory and Møller-Plesset perturbation theory for ionic liquids. , 2013, Physical chemistry chemical physics : PCCP.

[21]  Krieger,et al.  Systematic approximations to the optimized effective potential: Application to orbital-density-functional theory. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[22]  M. Watanabe,et al.  Magnitude and directionality of interaction in ion pairs of ionic liquids: relationship with ionic conductivity. , 2005, The journal of physical chemistry. B.

[23]  Iuliia V. Voroshylova,et al.  A new force field model for the simulation of transport properties of imidazolium-based ionic liquids. , 2011, Physical chemistry chemical physics : PCCP.

[24]  B. Kirchner,et al.  Adsorption Behavior of the 1,3-Dimethylimidazolium Thiocyanate and Tetracyanoborate Ionic Liquids at Anatase (101) Surface , 2015 .

[25]  B. Kirchner,et al.  Validation of dispersion-corrected density functional theory approaches for ionic liquid systems. , 2008, The journal of physical chemistry. A.

[26]  Effect of the molecular structure in the prediction of thermodynamic properties for 1-butyl-3-methylimidazolium chloride ionic liquid , 2013 .

[27]  S. Patchkovskii,et al.  Improving ``difficult'' reaction barriers with self-interaction corrected density functional theory , 2002 .

[28]  S. Price,et al.  Intermolecular potentials for simulations of liquid imidazolium salts , 2001 .

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

[30]  G. Somorjai,et al.  The Frontiers of Catalysis Science and Future Challenges , 2014, Catalysis Letters.

[31]  S. Balasubramanian,et al.  Quantitative prediction of physical properties of imidazolium based room temperature ionic liquids through determination of condensed phase site charges: a refined force field. , 2014, The journal of physical chemistry. B.

[32]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[33]  T. Welton,et al.  Hydrogen bonding in 1-butyl- and 1-ethyl-3-methylimidazolium chloride ionic liquids. , 2012, The journal of physical chemistry. B.

[34]  T. Ziegler,et al.  Phosphorus NMR Chemical Shifts with Self-Interaction Free, Gradient-Corrected DFT , 2002 .

[35]  José Mario Martínez,et al.  PACKMOL: A package for building initial configurations for molecular dynamics simulations , 2009, J. Comput. Chem..

[36]  Maxim V. Fedorov,et al.  NaRIBaS - A Scripting Framework for Computational Modeling of Nanomaterials and Room Temperature Ionic Liquids in Bulk and Slab , 2018, Comput..

[37]  S. Patchkovskii,et al.  Curing difficult cases in magnetic properties prediction with self-interaction corrected density functional theory , 2001 .

[38]  M. Luppi,et al.  DFT Study of 1,3-Dimethylimidazolium Tetrafluoroborate on Al and Cu(111) Surfaces , 2011 .

[39]  Kimihiko Hirao,et al.  Self-interaction corrections in density functional theory. , 2014, The Journal of chemical physics.

[40]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[41]  R. Berger,et al.  Towards multiscale modeling of ionic liquids: From electronic structure to bulk properties , 2010 .

[42]  L. Delle Site,et al.  Ionic charge reduction and atomic partial charges from first-principles calculations of 1,3-dimethylimidazolium chloride. , 2010, The journal of physical chemistry. B.

[43]  Christian Holm,et al.  Refining classical force fields for ionic liquids: theory and application to [MMIM][Cl]. , 2013, Physical chemistry chemical physics : PCCP.

[44]  Michael Seth,et al.  Range-Separated Exchange Functionals with Slater-Type Functions. , 2012, Journal of chemical theory and computation.

[45]  F. Matthias Bickelhaupt,et al.  Chemistry with ADF , 2001, J. Comput. Chem..

[46]  G. Scuseria,et al.  Climbing the density functional ladder: nonempirical meta-generalized gradient approximation designed for molecules and solids. , 2003, Physical review letters.

[47]  A. Wokaun,et al.  Electrochemical Stability of Imidazolium Based Ionic Liquids Containing Cyano Groups in the Anion: A Cyclic Voltammetry, XPS and DFT Study , 2012 .

[48]  A. Becke,et al.  Density-functional exchange-energy approximation with correct asymptotic behavior. , 1988, Physical review. A, General physics.

[49]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[50]  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.

[51]  C. Margulis,et al.  Dry excess electrons in room-temperature ionic liquids. , 2011, Journal of the American Chemical Society.

[52]  Barbara Kirchner,et al.  Characterising the electronic structure of ionic liquids: an examination of the 1-butyl-3-methylimidazolium chloride ion pair. , 2006, Chemistry.

[53]  D. Macfarlane,et al.  Ion-pair binding energies of ionic liquids: can DFT compete with ab initio-based methods? , 2009, The journal of physical chemistry. A.

[54]  E. Lust,et al.  Influence of cation chemical composition and structure on the double layer capacitance for Bi(111)|room temperature ionic liquid interface , 2012 .

[55]  Katharina Wendler,et al.  Force fields for studying the structure and dynamics of ionic liquids: a critical review of recent developments. , 2012, Chemphyschem : a European journal of chemical physics and physical chemistry.

[56]  S. F. Boys,et al.  The calculation of small molecular interactions by the differences of separate total energies. Some procedures with reduced errors , 1970 .

[57]  Ekaterina I Izgorodina,et al.  Towards large-scale, fully ab initio calculations of ionic liquids. , 2011, Physical chemistry chemical physics : PCCP.

[58]  Stefan Grimme,et al.  Performance of dispersion-corrected density functional theory for the interactions in ionic liquids. , 2012, Physical chemistry chemical physics : PCCP.

[59]  A. Zunger,et al.  Self-interaction correction to density-functional approximations for many-electron systems , 1981 .

[60]  Yingkai Zhang,et al.  Comment on “Generalized Gradient Approximation Made Simple” , 1998 .

[61]  T. Welton,et al.  On the origin of ionicity in ionic liquids. Ion pairing versus charge transfer. , 2014, Physical chemistry chemical physics : PCCP.

[62]  M. Ghatee,et al.  Physisorption of Hydrophobic and Hydrophilic 1-Alkyl-3-methylimidazolium Ionic Liquids on the Graphenes , 2011 .

[63]  Krieger,et al.  Construction and application of an accurate local spin-polarized Kohn-Sham potential with integer discontinuity: Exchange-only theory. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[64]  Marcus D. Hanwell,et al.  Avogadro: an advanced semantic chemical editor, visualization, and analysis platform , 2012, Journal of Cheminformatics.

[65]  D. Truhlar,et al.  A new local density functional for main-group thermochemistry, transition metal bonding, thermochemical kinetics, and noncovalent interactions. , 2006, The Journal of chemical physics.

[66]  T. Welton,et al.  Cooperativity in ionic liquids. , 2006, The Journal of chemical physics.

[67]  J. G. Snijders,et al.  Towards an order-N DFT method , 1998 .

[68]  Jean-Louis Calais,et al.  Density-functional theory of atoms and molecules. R.G. Parr and W. Yang, Oxford University Press, New York, Oxford, 1989. IX + 333 pp. Price £45.00 , 1993 .

[69]  S. Balasubramanian,et al.  Dynamics in a room-temperature ionic liquid: a computer simulation study of 1,3-dimethylimidazolium chloride. , 2005, The Journal of chemical physics.

[70]  R. López,et al.  Effect of dielectric constant on estimation of properties of ionic liquids: an analysis of 1-alkyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide , 2015 .

[71]  Shyue Ping Ong,et al.  Electrochemical Windows of Room-Temperature Ionic Liquids from Molecular Dynamics and Density Functional Theory Calculations , 2011 .