No Access
Published Online: 04 September 2012
Accepted: August 2012
J. Chem. Phys. 137, 094501 (2012); https://doi.org/10.1063/1.4748352
more...View Affiliations
Taking the molecular ionic liquid 1-ethyl-3-methylimidazolium triflate as a reference system, the size and time dependence of molecular dynamics simulation studies is analyzed in a systematic way. Based on an all atom force field, trajectories of 70 ns length, covering samples of 8–2000 ion pairs, were generated and analyzed in terms of structure as well as single particle and collective dynamics. Although 50 ion pairs seemed sufficient for structure, at least 500 ion pairs were needed for the correct handling of dynamics. For larger systems a linear regime is found, i.e., the respective dynamical properties are a linear function of the inverse box length. In case of translational diffusion coefficients, this linear relation can be rationalised in hydrodynamic terms. The respective formula is essentially determined by viscosity and the inverse box length. Concerning the time dependence, consistent dynamical properties required a time period of 20–30 ns. Nevertheless, size dependence dominates time dependence and has to be primarily addressed.
The computational work was performed on the Vienna Scientific Cluster [http://www.zid.tuwien.ac.at/vsc] of the University of Vienna, the Vienna University of Technology, and the University of Natural Resources and Applied Life Science Vienna. We would also like to thank them for the generous allocation of computer time. This work was supported by Project No. P19807 of the FWF Austrian Science Fund.
  1. 1. L. Boltzmann, Vorlesung Über Gastheorie (J. A. Barth, Leipzig, 1896/1898). Google Scholar
  2. 2. C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997). https://doi.org/10.1103/PhysRevLett.78.2690 , Google ScholarCrossref
  3. 3. B. J. Alder and T. W. Wainwright, J. Chem. Phys. 27, 1208 (1957). https://doi.org/10.1063/1.1743957 , Google ScholarScitation, ISI
  4. 4. A. Rahman, Phys. Rev. 136, A405 (1964). https://doi.org/10.1103/PhysRev.136.A405 , Google ScholarCrossref
  5. 5. L. Verlet, Phys. Rev. 159, 98 (1967). https://doi.org/10.1103/PhysRev.159.98 , Google ScholarCrossref
  6. 6. A. Rahman and F. H. Stillinger, J. Chem. Phys. 55, 3336 (1971). https://doi.org/10.1063/1.1676585 , Google ScholarScitation, ISI
  7. 7. C. G. Hanke, S. L. Price, and R. M. Lynden-Bell, Mol. Phys. 99, 801 (2001). https://doi.org/10.1080/00268970010018981 , Google ScholarCrossref
  8. 8. E. J. Maginn, J. Phys.: Condens. Matter 21, 373101 (2009). https://doi.org/10.1088/0953-8984/21/37/373101 , Google ScholarCrossref
  9. 9. C. Rey-Castro and L. F. Vega, J. Phys. Chem. B 110, 14426 (2006). https://doi.org/10.1021/jp062885s , Google ScholarCrossref
  10. 10. J. Pićalek and J. Kolafa, J. Mol. Liq. 134, 29 (2007). https://doi.org/10.1016/j.molliq.2006.12.015 , Google ScholarCrossref
  11. 11. D. Roy, N. Patel, S. Conte, and M. Maroncelli, J. Phys. Chem. B 114, 8410 (2010). https://doi.org/10.1021/jp1004709 , Google ScholarCrossref
  12. 12. J. N. A. C. Lopes and A. A. H. Pádua, J. Phys. Chem. B 110, 3330 (2006). https://doi.org/10.1021/jp056006y , Google ScholarCrossref
  13. 13. J. N. A. C. Lopes and A. A. H. Pádua, J. Phys. Chem. B 110, 7485 (2006). https://doi.org/10.1021/jp057533k , Google ScholarCrossref
  14. 14. Y. Wang and G. A. Voth, J. Am. Chem. Soc. 127, 12192 (2005). https://doi.org/10.1021/ja053796g , Google ScholarCrossref
  15. 15. Y. Wang and G. A. Voth, J. Phys. Chem. B 110, 18601 (2006). https://doi.org/10.1021/jp063199w , Google ScholarCrossref
  16. 16. Y. Wang, W. Jiang, and G. A. Voth, Ionic Liquids IV, ACS Symposium Series Vol. 975 (American Chemical Society Publishers, Washington, D.C., 2007), pp. 272. Google ScholarCrossref
  17. 17. A. Bagno, F. D'Amico, and G. Saielli, J. Mol. Liq. 131–132, 17 (2007). https://doi.org/10.1016/j.molliq.2006.08.023 , Google ScholarCrossref
  18. 18. Z. Hu and C. J. Margulis, J. Phys. Chem. B 111, 4705 (2007). https://doi.org/10.1021/jp067076n , Google ScholarCrossref
  19. 19. Z. Hu and C. J. Margulis, Acc. Chem. Res. 47, 1097 (2007). https://doi.org/10.1021/ar700046m , Google ScholarCrossref
  20. 20. O. Borodin, J. Phys. Chem. B 113, 11463 (2009). https://doi.org/10.1021/jp905220k , Google ScholarCrossref
  21. 21. B. Dünweg and K. Kremer, J. Chem. Phys. 99, 6983 (1993). https://doi.org/10.1063/1.465445 , Google ScholarScitation
  22. 22. I.-C. Yeh and G. Hummer, J. Phys. Chem. B 108, 15873 (2004). https://doi.org/10.1021/jp0477147 , Google ScholarCrossref
  23. 23. A. D. MacKerell Jr., B. Brooks, C. L. Brooks, L. Nilson, B. Roux, Y. Won, and M. Karplus, The Encyclopedia of Computational Chemistry, edited by P. V. R. Schleyer (Wiley, New York, 1998), Vol. 1, p. 271. Google Scholar
  24. 24. B. R. Brooks, R. E. Bruccoleri, B. D. Olafson, D. J. States, and S. Swaminathan, J. Comput. Chem. 4, 187 (1983). https://doi.org/10.1002/jcc.540040211 , Google ScholarCrossref
  25. 25. T. Darden, D. York, and L. Pedersen, J. Chem. Phys. 98, 10089 (1993). https://doi.org/10.1063/1.464397 , Google ScholarScitation, ISI
  26. 26. U. Essmann, L. Perera, M. L. Berkowitz, T. Darden, H. Lee, and L. G. Pedersen, J. Chem. Phys. 103, 8577 (1995). https://doi.org/10.1063/1.470117 , Google ScholarScitation, ISI
  27. 27. J.-P. Ryckaert, G. Ciccotti, and H. J. C. Berendsen, J. Comput. Phys. 23, 327 (1977). https://doi.org/10.1016/0021-9991(77)90098-5 , Google ScholarCrossref
  28. 28. M. G. Del Pópolo and G. A. Voth, J. Phys. Chem. B 108, 1744 (2004). https://doi.org/10.1021/jp0364699 , Google ScholarCrossref
  29. 29. J. N. Canongia Lopes, J. Deschamps, and A. A. H. Pádua, J. Phys. Chem. B 108, 2038 (2004). https://doi.org/10.1021/jp0362133 , Google ScholarCrossref
  30. 30. J. N. Canongia Lopes and A. A. H. Pádua, J. Phys. Chem. B 108, 16893 (2004). https://doi.org/10.1021/jp0476545 , Google ScholarCrossref
  31. 31. I. J. Chen, D. Yin, and A. D. MacKerell, J. Comput. Chem. 23, 199 (2002). https://doi.org/10.1002/jcc.1166 , Google ScholarCrossref
  32. 32. A. D. MacKerell Jr., D. Bashford, M. Bellott, R. L. Dunbrack, J. D. Evanseck, M. J. Field, S. Fischer, J. Gao, H. Guo, S. Ha, D. Joseph-McCarthy, L. Kuchnir, K. Kuczera, F. T. K. Lau, C. Mattos, S. Michnick, T. Ngo, D. T. Nguyen, B. Prodhom, W. E. Reiher, B. Roux, M. Schlenkrich, J. C. Smith, R. Stote, J. Straub, M. Watanabe, J. Wiorkiewicz-Kuczera, D. Yin, and M. Karplus, J. Phys. Chem. B 102, 3586 (1998). https://doi.org/10.1021/jp973084f , Google ScholarCrossref
  33. 33. L. Martínez, R. Andrade, G. Birgin, and J. M. Martínez, J. Comput. Chem. 30, 2157 (2009). https://doi.org/10.1002/jcc.21224 , Google ScholarCrossref
  34. 34. Y.-F. Hu and C.-M. Xu, “Effect of the structures of ionic liquids on their physical-chemical properties and the phase behaviour of mixtures involving ionic liquids,” Chem. Rev. (unpublished). Google Scholar
  35. 35. J. G. Kirkwood, J. Chem. Phys. 7, 911 (1939). https://doi.org/10.1063/1.1750343 , Google ScholarScitation
  36. 36. T. Keyes and D. Kivelson, J. Chem. Phys. 56, 1057 (1972). https://doi.org/10.1063/1.1677267 , Google ScholarScitation
  37. 37. D. Kivelson and P. Madden, Mol. Phys. 30, 1749 (1975). https://doi.org/10.1080/00268977500103271 , Google ScholarCrossref
  38. 38. B. J. Alder and W. E. Alley, Phys. Today 37, 56 (1984). https://doi.org/10.1063/1.2916048 , Google ScholarCrossref
  39. 39. B. Dünweg, J. Chem. Phys. 99, 6977 (1993). https://doi.org/10.1063/1.465444 , Google ScholarScitation
  40. 40. W. Zhao, F. Leroy, S. Balasubramanian, and F. Müller-Plathe, J. Phys. Chem. B 112, 8129 (2008). https://doi.org/10.1021/jp8017869 , Google ScholarCrossref
  1. © 2012 American Institute of Physics.