Abstract
The effects of conformerisation and internal molecular dynamics of n-dodecane conformers on energy transfers between gas and liquid phases are investigated. Bond energies, Gibbs free energies of internal dynamics of a set of n-dodecane conformers, and energies of the molecules colliding with the surface of an n-dodecane nanodroplet are studied using quantum chemical calculations (DFT with ωB97X-D/cc-pVTZ and semi-empirical PM7) and ReaxFF method. The results of the analysis show that the accuracy of the methods increases as we move from the application of PM7 to the application of ReaxFF and then to DFT. Different temperature dependencies of internal Gibbs free energies of conformers in the gas and liquid phases are expected to affect the heat and mass transfer processes between them. The calculations for the gas and liquid (using the quantum solvation model; SMD) phases show significant differences in the internal dynamics of conformers and demonstrate an entropy–enthalpy competition in the evaporation/condensation of an ensemble of the conformers.
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Valero FPJ, Collins WD, Pilewskie P, Bucholtz A, Flatau PJ (1997) Direct radiometric observations of the water vapor greenhouse effect over the equatorial pacific ocean. Science 275:1773–1776
Wheeler TD, Stroock AD (2008) The transpiration of water at negative pressures in a synthetic tree. Nature 455:208–212
Sazhin SS (2006) Advanced models of fuel droplet heating and evaporation. Prog Energy Combust Sci 32:162–214
Fujikawa S, Yano T, Watanabe M (2011) Vapor–liquid interfaces, bubbles and droplets. Springer, Heidelberg
Sone Y (2002) Kinetic theory and fluid dynamics. Birkhäuser, Boston
Ishiyama T, Fujikawa S, Kurz T, Lauterborn W (2013) Non-equilibrium kinetic boundary condition at the vapor–liquid interface of argon. Phys Rev E 88:042406
Miles REH, Knox KJ, Reid JP, Laurain AMC, Mitchem L (2010) Measurements of mass and heat transfer at a liquid water surface during condensation or evaporation of a subnanometer thickness layer of water. Phys Rev Lett 105:116101
Varilly P, Chandler D (2013) Water evaporation: a transition path sampling study. J Phys Chem B 117:1419
Musolino N, Trout BL (2013) Insight into the molecular mechanism of water evaporation via the finite temperature string method. J Chem Phys 138:134707
Ishiyama T, Yano T, Fujikawa T (2004) S. Molecular dynamics study of kinetic boundary condition at an interface between argon vapor and its condensed phase. Phys Fluids 16:4713
Smith JD, Cappa CD, Drisdell WS, Cohen RC, Saykally RJ (2006) Raman thermometry measurements of free evaporation from liquid water droplets. J Am Chem Soc 128:12892–12898
Hickman KCD (1954) Maximum evaporation coefficient of water. Indust Eng Chem 46:1442–1446
Xia TK, Landman U (1994) Molecular evaporation and condensation of liquid n-alkane films. J Chem Phys 101:2498–2507
Cao B-Y, Xie J-F, Sazhin SS (2011) Molecular dynamics study on evaporation and condensation of n-dodecane at liquid–vapor phase equilibria. J Chem Phys 134:164309
Xie J-F, Sazhin SS, Cao B-Y (2011) Molecular dynamics study of the processes in the vicinity of the n-dodecane vapour/liquid interface. Phys Fluids 23:112104
Holyst R et al (2013) Evaporation of freely suspended single droplets: experimental, theoretical and computational simulations. Rep Prog Phys 76:034601
Winkler PM et al (2004) Mass and thermal accommodation during gas-liquid condensation of water. Phys Rev Lett 93:075701
Li YQ et al (2001) Mass and thermal accommodation coefficients of H2O (g) on liquid water as a function of temperature. J Phys Chem A 105:10627–10634
Gun’ko VM, Turov VV (2013) Nuclear magnetic resonance studies of interfacial phenomena; surfactant science series volume 154. CRC Press, Taylor & Francis Group, New York
Goodman FO, Wachman HY (1976) Dynamics of gas-surface scattering. Academic Press, New York
Echeverría J, Aullón G, Danovich D, Shaik S, Alvarez S (2011) Dihydrogen contacts in alkanes are subtle but not faint. Nat Chem 3:323–330
Van Duin ACT, Dasgupta S, Lorant F, Goddard WA III (2001) ReaxFF: a reactive force field for hydrocarbons. J Phys Chem A 105:9396
Chenoweth K, van Duin ACT, Goddard WA III (2008) ReaxFF reactive force field for molecular dynamics simulations of hydrocarbon oxidation. J Phys Chem A 112:1040
Ding J, Zhang L, Zhang Y, Han K-L (2013) A reactive molecular dynamics study of n-heptane pyrolysis at high temperature. J Phys Chem A 117:3266–3278
Wang Q-D, Wang J-B, Li J-Q, Tan N-X, Li X-Y (2011) Reactive molecular dynamics simulation and chemical kinetic modelling of pyrolysis and combustion of n-dodecane. Combust Flame 158:217–226
Cheng X-M, Wang Q-D, Li J-Q, Wang J-B, Li X-Y (2012) ReaxFF molecular dynamics simulations of oxidation of toluene at high temperatures. J Phys Chem A 116:9811–9818
Bagri A et al (2010) Structural evolution during the reduction of chemically derived graphene oxide. Nat Chem 2:581–587
Chenoweth K, van Duin ACT, Dasgupta S, Goddard WA III (2009) Initiation mechanisms and kinetics of pyrolysis and combustion of JP-10 hydrocarbon jet fuel. J Phys Chem A 113:1740–1746
Nasiri R, Gun’ko VM, Sazhin SS (2013) Quantum mechanical effects in n-alkane droplets. In: ILASS—Europe, 25th European conference on liquid atomization and spray systems, Chania, Greece, 1–4 Sept 2013
Chai JD, Head-Gordon M (2008) Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections. Phys Chem Chem Phys 10:6615–6620
Stewart JJP (2013) Optimization of parameters for semi-empirical methods VI: more modifications to the NDDO approximations and re-optimization of parameters. J Mol Model 19:1–32
Gun’ko VM, Nasiri R, Sazhin SS (2014) A study of the evaporation and condensation of n-alkane clusters and nanodroplets using quantum chemical methods. Fluid Phase Equilib 366:99–107
Martin JML (2013) What can we learn about dispersion from the conformer surface of n-pentane? J Phys Chem A 117:3118–3132
Zheng J, Mielke SL, Clarkson KL, Truhlar DG (2012) MSTor: a program for calculating partition functions, free energies, enthalpies, entropies, and heat capacities of complex molecules including torsional anharmonicity. Comput Phys Commun 183:1803–1812
Frisch MJ et al (2009) Gaussian 09, revision D.01. Gaussian, Inc., Wallingford
VandeVondele J, Krack M, Mohamed F, Parrinello M, Chassaing T, Hutter J (2005) Quickstep: fast and accurate density functional calculations using a mixed Gaussian and plane waves approach. Comput Phys Commun 167:103–128
Guidon M, Hutter J, VandeVondele J (2010) Auxiliary density matrix methods for Hartree–Fock exchange calculations. J Chem Theory Comput 6:2348–2364
Goedecker S, Teter M, Hutter J (1996) Separable dual-space Gaussian pseudopotentials. Phys Rev B Condens Matter 54:1703–1710
Stewart JJP (2013) MOPAC 2012, versions 13.123W and 13.123L, Stewart Computational Chemistry, Colorado Springs, CO, USA
te Velde G et al (2001) Chemistry with ADF. J Comput Chem 22:931–967
Ghysels A et al (2007) Vibrational modes in partially optimized molecular systems. J Chem Phys 126:224102
McQuarrie DA (1973) Statistical mechanics. Happer & Row, New York
Wu J, Xu X (2007) Improving the B3LYP bond energies by using the X1 method. J Chem Phys 127:214105
Zhang IY, Wu JM, Xu X (2010) Extending the reliability and applicability of B3LYP. Chem Commun 46:3057–3070
Luo YR (2007) Handbook of bond dissociation energies in organic compounds. CRC Press, Boca Raton
Ben-Naim A (2006) Molecular theory of solutions. Oxford University Press Inc., New York
Marenich AV, Cramer CJ, Truhlar DG (2009) Universal solvation model based on solute electron density and on a continuum model of the solvent defined by the bulk dielectric constant and atomic surface tensions. J Phys Chem B 113:6378–6396
Winget P, Dolney DM, Giesen DJ, Cramer CJ, Truhlar DG (2010) Minnesota solvent descriptor database. University of Minnesota, Minneapolis
Ribeiro RF, Marenich AV, Cramer CJ, Truhlar DG (2011) Use of solution-phase vibrational frequencies in continuum models for the free energy of solvation. J Phys Chem B 115:14556–14562
Pham HH, Taylor CD, Henson NJ (2013) First-principles prediction of the effects of temperature and solvent selection on the dimerization of benzoic acid. J Phys Chem B 117:868–876
Yaws CL (ed) (2008) Thermophysical properties of chemicals and hydrocarbons. William Andrew Inc., Norwich
NIST Chemistry WebBook, saturation Properties for n-Dodecane-temperature increments. http://webbook.nist.gov/chemistry/. Accessed 17.01.15
Acknowledgments
The authors are grateful to Professor Truhlar’s group to provide us the MSTor program, Professor Martin J. Field (University of Grenoble, IBS) for useful discussions, and the EPSRC (UK) (Grants EP/J006793/1 and EP/L00202) for their financial support of this project. The use of NSCCS (http://www.nsccs.ac.uk/) and HECToR/ARCHER (http://www.archer.ac.uk/) supercomputers is gratefully acknowledged.
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The authors declare no competing financial interests.
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Nasiri, R., Gun’ko, V.M. & Sazhin, S.S. The effects of internal molecular dynamics on the evaporation/condensation of n-dodecane. Theor Chem Acc 134, 83 (2015). https://doi.org/10.1007/s00214-015-1681-z
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DOI: https://doi.org/10.1007/s00214-015-1681-z