Thermodynamic and Transport Properties of Crown-Ethers: Force Field Development and Molecular Simulations

Crown-ethers have recently been used to assemble porous liquids (PLs), which are liquids with permanent porosity formed by mixing bulky solvent molecules (e.g., 15-crown-5 ether) with solvent-inaccessible organic cages. PLs and crown-ethers belong to a novel class of materials, which can potentially be used for gas separation and storage, but their performance for this purpose needs to be assessed thoroughly. Here, we use molecular simulations to study the gas separation performance of crown-ethers as the solvent of porous liquids. The TraPPE force field for linear ether molecules has been adjusted by fitting a new set of torsional potentials to accurately describe cyclic crown-ether molecules. Molecular dynamics (MD) simulations have been used to compute densities, shear viscosities, and self-diffusion coefficients of 12-crown-4, 15-crown-5, and 18-crown-6 ethers. In addition, Monte Carlo (MC) simulations have been used to compute the solubility of the gases CO2, CH4, and N2 in 12-crown-4 and 15-crown-5 ether. The computed properties are compared with available experimental data of crown-ethers and their linear counterparts, i.e., polyethylene glycol dimethyl ethers.

[1]  P. Tontiwachwuthikul,et al.  High pressure physical solubility of carbon dioxide (CO2) in mixed polyethylene glycol dimethyl ethers (Genosorb 1753) , 2012 .

[2]  Hsueh-Chia Chang,et al.  Efficient viscosity estimation from molecular dynamics simulation via momentum impulse relaxation , 2000 .

[3]  J. V. Eerden,et al.  Molecular dynamics of 18-crown-6 complexes with alkali-metal cations: calculation of relative free energies of complexation , 1988 .

[4]  M. Yoshio,et al.  Crown Ethers for Chemical Analysis: A Review , 1982 .

[5]  S. H. Jamali,et al.  Solubility of sulfur compounds in commercial physical solvents and an ionic liquid from Monte Carlo simulations , 2017 .

[6]  J. Ilja Siepmann,et al.  Novel Configurational-Bias Monte Carlo Method for Branched Molecules. Transferable Potentials for Phase Equilibria. 2. United-Atom Description of Branched Alkanes , 1999 .

[7]  Gerhard Hummer,et al.  System-Size Dependence of Diffusion Coefficients and Viscosities from Molecular Dynamics Simulations with Periodic Boundary Conditions , 2004 .

[8]  S. James The Dam Bursts for Porous Liquids , 2016, Advanced materials.

[9]  W. Shi,et al.  Molecular simulations and experimental studies of solubility and diffusivity for pure and mixed gases of H2, CO2, and Ar absorbed in the ionic liquid 1-n-hexyl-3-methylimidazolium bis(trifluoromethylsulfonyl)amide ([hmim][Tf2N]). , 2010, The journal of physical chemistry. B.

[10]  M. Tsapatsis,et al.  Development of the Transferable Potentials for Phase Equilibria Model for Hydrogen Sulfide. , 2015, The journal of physical chemistry. B.

[11]  Berend Smit,et al.  Understanding molecular simulation: from algorithms to applications , 1996 .

[12]  Irwin D. Kuntz,et al.  A new technique to calculate low-energy conformations of cyclic molecules utilizing the ellipsoid algorithm and molecular dynamics: application to 18-crown-6 , 1988 .

[13]  A. Panagiotopoulos,et al.  Atomistic molecular dynamics simulations of H2O diffusivity in liquid and supercritical CO2 , 2015 .

[14]  H. Farmer A new perspective. , 1988, The Journal of the Florida Medical Association.

[15]  R. M. Kakhki Application of crown ethers as stationary phase in the chromatographic methods , 2013 .

[16]  Charles J. Pedersen,et al.  Cyclic polyethers and their complexes with metal salts , 1967 .

[17]  U. Singh,et al.  A NEW FORCE FIELD FOR MOLECULAR MECHANICAL SIMULATION OF NUCLEIC ACIDS AND PROTEINS , 1984 .

[18]  J. Ilja Siepmann,et al.  Vapor–liquid equilibria of mixtures containing alkanes, carbon dioxide, and nitrogen , 2001 .

[19]  C. L. Macdonald,et al.  Polyether complexes of groups 13 and 14. , 2016, Chemical Society reviews.

[20]  P. Kollman,et al.  Molecular mechanics and dynamics studies of crown ether - cation interactions: free energy calculations on the cation selectivity of dibenzo-18-crown-6 and dibenzo-30-crown-10 , 1989 .

[21]  L. Dang,et al.  Mechanism and Thermodynamics of Ion Selectivity in Aqueous Solutions of 18-Crown-6 Ether: A Molecular Dynamics Study , 1995 .

[22]  J. S. Rowlinson,et al.  Molecular Thermodynamics of Fluid-Phase Equilibria , 1969 .

[23]  P. Kollman,et al.  Free energy of association of the 18-crown-6:K+ complex in water: a molecular dynamics simulation , 1990 .

[24]  Thijs J. H. Vlugt,et al.  Solubilities of CO2, CH4, C2H6, and SO2 in ionic liquids and Selexol from Monte Carlo simulations , 2016, J. Comput. Sci..

[25]  R. Snurr,et al.  RASPA: molecular simulation software for adsorption and diffusion in flexible nanoporous materials , 2016 .

[26]  Sayee Prasaad Balaji,et al.  Computing bubble-points of CO2/CH4 gas mixtures in ionic liquids from Monte Carlo simulations , 2016 .

[27]  C. Brooks Computer simulation of liquids , 1989 .

[28]  Samuel J. Keasler,et al.  Transferable potentials for phase equilibria-united atom description of five- and six-membered cyclic alkanes and ethers. , 2012, The journal of physical chemistry. B.

[29]  Y. Rosenfeld,et al.  Relation between the transport coefficients and the internal entropy of simple systems , 1977 .

[30]  E. Maginn,et al.  Prediction of viscosities and vapor–liquid equilibria for five polyhydric alcohols by molecular simulation , 2007 .

[31]  André Bardow,et al.  Diffusion Coefficients from Molecular Dynamics Simulations in Binary and Ternary Mixtures , 2013 .

[32]  Wolfgang Wagner,et al.  A New Equation of State and Tables of Thermodynamic Properties for Methane Covering the Range from the Melting Line to 625 K at Pressures up to 100 MPa , 1991 .

[33]  E. Maginn,et al.  A molecular dynamics investigation of the structural and dynamic properties of the ionic liquid 1-n-butyl-3-methylimidazolium bis(trifluoromethanesulfonyl)imide. , 2011, The Journal of chemical physics.

[34]  Craig M. Tenney,et al.  Limitations and recommendations for the calculation of shear viscosity using reverse nonequilibrium molecular dynamics. , 2010, The Journal of chemical physics.

[35]  Wei Shi,et al.  Continuous Fractional Component Monte Carlo:  An Adaptive Biasing Method for Open System Atomistic Simulations. , 2007, Journal of chemical theory and computation.

[36]  Roland Span,et al.  A Reference Equation of State for the Thermodynamic Properties of Nitrogen for Temperatures from 63.151 to 1000 K and Pressures to 2200 MPa , 2000 .

[37]  Rebecca L. Greenaway,et al.  Liquids with permanent porosity , 2015, Nature.

[38]  Ariana Torres-Knoop,et al.  On the inner workings of Monte Carlo codes , 2013 .

[39]  M. Mastalerz Materials chemistry: Liquefied molecular holes , 2015, Nature.

[40]  Randall Q. Snurr,et al.  A new perspective on the order-n algorithm for computing correlation functions , 2009 .

[41]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[42]  W. L. Jorgensen,et al.  Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids , 1996 .

[43]  J. Ilja Siepmann,et al.  Transferable Potentials for Phase Equilibria. 1. United-Atom Description of n-Alkanes , 1998 .

[44]  W. Wagner,et al.  A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple‐Point Temperature to 1100 K at Pressures up to 800 MPa , 1996 .

[45]  G. Wipff,et al.  Hydration of uranyl (UO22+) cation and its nitrate ion and 18-crown-6 adducts studied by molecular dynamics simulations , 1993 .

[46]  L. Chong,et al.  Efficient Explicit-Solvent Molecular Dynamics Simulations of Molecular Association Kinetics: Methane/Methane, Na(+)/Cl(-), Methane/Benzene, and K(+)/18-Crown-6 Ether. , 2011, Journal of chemical theory and computation.

[47]  W. M. Leevy,et al.  Crown ethers: sensors for ions and molecular scaffolds for materials and biological models. , 2004, Chemical reviews.

[48]  P. Tontiwachwuthikul,et al.  Solubilities of Carbon Dioxide in Polyethylene Glycol Ethers , 2008 .

[49]  F Müller-Plathe,et al.  Reversing the perturbation in nonequilibrium molecular dynamics: an easy way to calculate the shear viscosity of fluids. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[50]  R. Cygan,et al.  Molecular Simulation of Carbon Dioxide Capture by Montmorillonite Using an Accurate and Flexible Force Field , 2012 .

[51]  J. V. Eerden,et al.  Molecular-dynamics simulation of crystalline 18-crown-6: thermal shortening of covalent bonds , 1990 .

[52]  S. Dai,et al.  Porous liquids: a promising class of media for gas separation. , 2015, Angewandte Chemie.

[53]  W. Shi,et al.  Molecular simulation and regular solution theory modeling of pure and mixed gas absorption in the ionic liquid 1-n-hexyl-3-methylimidazolium bis(trifluoromethylsulfonyl)amide ([hmim][Tf2N]). , 2008, The journal of physical chemistry. B.

[54]  Edward J Maginn,et al.  System-size corrections for self-diffusion coefficients calculated from molecular dynamics simulations: The case of CO2, n-alkanes, and poly(ethylene glycol) dimethyl ethers. , 2016, The Journal of chemical physics.

[55]  Michael J. Bennison,et al.  Understanding gas capacity, guest selectivity, and diffusion in porous liquids† †Electronic supplementary information (ESI) available: Detailed synthetic procedures, experimental details and measurements (PDF). See DOI: 10.1039/c6sc05196k Click here for additional data file. , 2017, Chemical science.

[56]  J. Ilja Siepmann,et al.  Monte Carlo Calculations for Alcohols and Their Mixtures with Alkanes. Transferable Potentials for Phase Equilibria. 5. United-Atom Description of Primary, Secondary, and Tertiary Alcohols , 2001 .

[57]  J. Ilja Siepmann,et al.  Transferable Potentials for Phase Equilibria. 6. United-Atom Description for Ethers, Glycols, Ketones, and Aldehydes , 2004 .

[58]  L. Troxler,et al.  Conformation and Dynamics of 18-Crown-6, Cryptand 222, and Their Cation Complexes in Acetonitrile Studied by Molecular Dynamics Simulations , 1994 .

[59]  Y. Rosenfeld,et al.  A quasi-universal scaling law for atomic transport in simple fluids , 1999 .

[60]  A. Weiss,et al.  Transport Properties of Liquids I. Self-Diffusion, Viscosity and Density of Nearly Spherical and Disk Like Molecules in the Pure Liquid Phase , 1981 .

[61]  Amr Henni,et al.  Solubility Study of Methane and Ethane in Promising Physical Solvents for Natural Gas Sweetening Operations , 2006 .

[62]  G. Anitescu,et al.  The solubility of CO2, N2 and H2 in a mixture of dimethylether polyethylene glycols at high pressures , 1995 .

[63]  Akihito Otani,et al.  Reliable Viscosity Calculation from Equilibrium Molecular Dynamics Simulations: A Time Decomposition Method. , 2015, Journal of chemical theory and computation.

[64]  A. Cooper Porous Molecular Solids and Liquids , 2017, ACS central science.

[65]  R. Delgado,et al.  Critical evaluation of stability constants and thermodynamic functions of metal complexes of crown ethers (IUPAC Technical Report) , 2003 .

[66]  Athanassios Z Panagiotopoulos,et al.  Atomistic Molecular Dynamics Simulations of Carbon Dioxide Diffusivity in n-Hexane, n-Decane, n-Hexadecane, Cyclohexane, and Squalane. , 2016, The journal of physical chemistry. B.

[67]  J. D. de Pablo,et al.  Simulation of the effects of chain architecture on the sorption of ethylene in polyethylene. , 2004, The Journal of chemical physics.

[68]  Sayee Prasaad Balaji,et al.  Solubility of the Precombustion Gases CO2, CH4, CO, H2, N2, and H2S in the Ionic Liquid [bmim][Tf2N] from Monte Carlo Simulations , 2014 .

[69]  Steve Plimpton,et al.  Fast parallel algorithms for short-range molecular dynamics , 1993 .

[70]  Shilun Qiu,et al.  Porous Organic Materials: Strategic Design and Structure-Function Correlation. , 2017, Chemical reviews.

[71]  G. Wipff Molecular Modeling Studies on Molecular Recognition: Crown Ethers, Cryptands and Cryptates. From Static Models in vacuo to Dynamical Models in Solution , 1992 .

[72]  B. Sumpter,et al.  Multicomponent Gas Storage in Organic Cage Molecules , 2017 .

[73]  Ganesh Kamath,et al.  Transferable potentials for phase equilibria. 8. United-atom description for thiols, sulfides, disulfides, and thiophene. , 2005, The journal of physical chemistry. B.

[74]  B. Sumpter,et al.  Thermodynamics and Kinetics of Gas Storage in Porous Liquids. , 2016, The journal of physical chemistry. B.

[75]  P. Kollman,et al.  Free Energy of Association of the K+:18-Crown-6 Complex in Water: A New Molecular Dynamics Study , 1995 .