Scientific Computing in Chemical Engineering II pp 126-133 | Cite as
Hydrophobic Aggregation of Nonionic Surfactants in Aqueous Solution: An MD Simulation Study
Abstract
We have studied dilute aqueous solutions of nonionic surfactants of general structure H(CH2) m (OCH2CH2) n OH (abbreviated as C m E n ) by an extensive series of classical molecular dynamics simulations. The temperature dependent association of surfactant molecules and hydrophobic test—particles has been determined by Widom’s particle insertion method. The simulations were performed at constant ambient pressure conditions and temperatures between 275 K and 450 K. Our simulations suggest an entropy driven association process, which can be described well by temperature independent enthalpy and entropy contributions. These properties can be further reduced to group contributions. The resulting Gibbs free energy of transfer was used as a measure of the hydrophobicity and could be correlated with the experimental cloud point temperatures of binary aqueous mixtures of these surfactants. An empirical entropy correction leads to a quantitative description of the experimental data.
Keywords
Nonionic Surfactant Surfactant Molecule Lower Critical Solution Temperature Test Particle Hydration ShellPreview
Unable to display preview. Download preview PDF.
References
- 1.H. Andree and P. Krings,Waschmittelchemie( Hüthig, Heidelberg, 1976 ), p. 84.Google Scholar
- 2.J. C. Lang and R. D. Morgan, J. Chem. Phys.73, 5849 (1980)CrossRefGoogle Scholar
- 3.D. Paschek,MOSCITO — A free MD simulation package, Universität Dortmund, 1998. http://ganter.chemie.uni-dortmund.de/.Google Scholar
- 4.Initially, a single solute molecule is placed in the center of a cubic water system with a density of 1.0 g cm—3 removing all overlapping water molecules. The system sizes were chosen sufficiently large to guarantee the absence of an interaction of the solute molecule with the hydration shell of its own image (System sizes: C12E6:1309 molecules, C8E6: 1316 molecules, C12E3: 689 molecules). The systems were simulated at seven different temperatures (275 K, 300 K, 325 K, 350 K, 375 K, 400 K and 450 K) and atmospheric pressure for an equilibration period of 0.1 to 0.5 ns. The production runs at similar conditions extended to time intervals between 1.0 and 1.3 ns. Approximately 5000 configurations, equally spaced over the whole simulation run, were examined at each state-point. The bulk-water density at the studied state-points compares rather well with previously published data [7].Google Scholar
- 5.We employ a standard Verlet leap-frog integration scheme [15] in combination with SHAKE [16] to constrain bond lengths. Cubic periodic boundary conditions and time-steps of 2 fs were used. The simulations were performed in the Berendsen-NPT-Ensemble [17] with temperature and pressure relaxation times oft T = 0.5 ps andt p = 1.7 ps (assuming a?T of 4.59 bar—1). To handle electrostatic interactions we employ the smooth particle mesh Ewald (SPME) method [18] with mesh spacings of about 1 Å, interpolation of 4’th order and a screening parameter of a= 2.98 nm—1. The interactions were truncated at a cutoff of 9Å. Lennard-Jones cutoff-corrections for potential energy and virial were adequately considered. The pressure evaluation has been performed analogously to [19].Google Scholar
- 6.H. J. C. Berendsen, J. R. Grigera, and T. P. Straatsma, J. Phys. Chem.91, 6269 (1987).CrossRefGoogle Scholar
- 7.B. Guillot and Y. Guissani, J. Chem. Phys.99, 8075 (1993)CrossRefGoogle Scholar
- Y. Guissani and B. Guillot, J. Chem. Phys.98, 8221 (1993)CrossRefGoogle Scholar
- L.A. Baez and P. Clancy, J. Phys. Chem.101, 9837 (1994)CrossRefGoogle Scholar
- L.A. Baez and P. Clancy, J. Phys. Chem.101, 9837 (1994)CrossRefGoogle Scholar
- 8.For the ether component we use a model originally derived for poly-oxy-ethylene (POE) by F. Müller-Plathe [20], where we refined the torsion potentials according to the ab initio data of Gejji et al. [21]. For the OH-Group the original OPLS-Parameters of ref [22] were employed, combined with a refined ab initio torsion potential explicitly derived forβ-oxy-hydroxyl groups. For the united atom representation we used the modified OPLS-model parametrisation of Smit et al. [23] with zero charges on all alkane-sites.Google Scholar
- 9.D. Paschek, Dissertation, Universität Dortmund, 1998.Google Scholar
- 10.D. Frenkel and B. Smit,Understanding Molecular Simulation— From Algorithms to Applications (Academic Press, San Diego, USA, 1996 ).Google Scholar
- 11.B. Widom, J. Chem. Phys.39, 2808 (1963).CrossRefGoogle Scholar
- 12.D. A. McQuarrie,Statistical Mechanics( Harper and Row, New York, 1973 ).Google Scholar
- 13.S. Garde, G. Hummer, A. E. Garcia, M. E. Paulaitis, and L. R. Pratt, Phys. Rev. Lett.77, 4966 (1996).CrossRefGoogle Scholar
- 14.H. Lange and M. J. Schwuger, inFatty Alcohols — Raw Materials, Methods, Uses, 1. ed., edited by K. Henkel (Henkel KGaA, Düsseldorf, 1982), pp. 87–119; T. Engels (unpublished).Google Scholar
- 15.M. P. Allen and D. J. Tildesley,Computer Simulation of Liquids( Oxford Science Publications, Oxford, 1989 ).Google Scholar
- 16.J. P. Ryckaert, G. Ciccotti, and H. J. C. Berendsen, J. Comp. Phys.23, 327 (1977).CrossRefGoogle Scholar
- 17.H. J. C. Berendsen, J. P. M. Postma, W. F. van Gunsteren, A. DiNola, and J. R. Haak, J. Chem. Phys.81, 3684 (1984).Google Scholar
- 18.U. Essmann, L. Perera, M. L. Berkowitz, T. A. Darden, H. Lee, and L. G. Pedersen, J. Chem. Phys.103, 8577 (1995).CrossRefGoogle Scholar
- 19.S. Nosé and M. L. Klein, Mol. Phys.50, 1055 (1983)CrossRefGoogle Scholar
- J. Alejandre, D. J. Tildesley, and G. Chapela, J. Chem. Phys.102, 4574 (1995).CrossRefGoogle Scholar
- 20.F. Müller-Plathe, Acta Polymer.45, 259 (1994).CrossRefGoogle Scholar
- 21.S. P. Gejji, J. Tegenfeldt, and J. Lindgren, Chem. Phys. Lett.226, 427 (1994).CrossRefGoogle Scholar
- 22.W. L. Jorgensen, J. Phys. Chem.90, 1276 (1986).CrossRefGoogle Scholar
- 23.B. Smit, S. Karaborni, and J. I. Siepmann, J. Chem. Phys.102, 2126 (1995).CrossRefGoogle Scholar