Abstract
We employ all-atom molecular dynamics simulations to study polyethylene (PE) crystallization under soft nanoconfinement in water. The hydrophobic PE phase separates from water and forms nanodroplets above the crystal melting temperature. By cooling the PE nanodroplets of different sizes in simulations, we show that the polymer-water interface can induce partial orientational order to polymer segments in the precursor state and enhance crystal nucleation. Curvature imposed by nanoconfinement, however, hinders PE crystallization, resulting in rare occurrences of crystalline atoms at highly curved droplet centers. We observe crystals nucleate at the PE-water interface and grow inward. For large droplets, the growth of multiple nuclei formed at the droplet interfaces leads to polycrystalline droplets after crystallization. Sufficiently small droplets can deform and elongate to accommodate the formation of large single crystallites and high crystallinity.
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References
I.M. Ward, Optical and mechanical anisotropy in crystalline polymers. Proc. Phys. Soc. 80(5), 1176 (1962). https://doi.org/10.1088/0370-1328/80/5/319
K. Gu, C.R. Snyder, J. Onorato, C.K. Luscombe, A.W. Bosse, Y.L. Loo, Assessing the Huang-Brown description of tie chains for charge transport in conjugated polymers. ACS Macro Lett. 7(11), 1333–1338 (2018). https://doi.org/10.1021/acsmacrolett.8b00626
T.P. Lodge, Celebrating 50 years of macromolecules. Macromolecules 50(24), 9525–9527 (2017). https://doi.org/10.1021/acs.macromol.7b02507
K.W. Hall, S. Percec, W. Shinoda, M.L. Klein, Property decoupling across the embryonic nucleus-melt interface during polymer crystal nucleation. J. Phys. Chem. B 124(23), 4793–4804 (2020). https://doi.org/10.1021/acs.jpcb.0c01972
D.A. Nicholson, G.C. Rutledge, An assessment of models for flow-enhanced nucleation in an n-alkane melt by molecular simulation. J. Rheol. 63(3), 465–475 (2019). https://doi.org/10.1122/1.5091945
L. Zou, W. Zhang, Molecular dynamics simulations of the effects of entanglement on polymer crystal nucleation. Macromolecules 55(12), 4899–4906 (2022). https://doi.org/10.1021/acs.macromol.2c00817
G. Liu, A.J. Müller, D. Wang, Confined crystallization of polymers within nanopores. Acc. Chem. Res. 54(15), 3028–3038 (2021). https://doi.org/10.1021/acs.accounts.1c00242
K. Shin, E. Woo, Y.G. Jeong, C. Kim, J. Huh, K.W. Kim, Crystalline structures, melting, and crystallization of linear polyethylene in cylindrical nanopores. Macromolecules 40(18), 6617–6623 (2007). https://doi.org/10.1021/ma070994e
C. Luo, M. Kröger, J.U. Sommer, Molecular dynamics simulations of polymer crystallization under confinement: entanglement effect. Polymer 109, 71–84 (2017). https://doi.org/10.1016/j.polymer.2016.12.011
T. Yamamoto, Molecular dynamics simulation of polymer ordering. II. Crystallization from the melt. J. Chem. Phys. 115(18), 8675–8680 (2001). https://doi.org/10.1063/1.1410377
S. Nakagawa, H. Marubayashi, S. Nojima, Crystallization of polymer chains confined in nanodomains. Eur. Polym. J. 70, 262–275 (2015). https://doi.org/10.1016/j.eurpolymj.2015.07.018
A. Taden, K. Landfester, Crystallization of poly(ethylene oxide) confined in miniemulsion droplets. Macromolecules 36(11), 4037–4041 (2003). https://doi.org/10.1021/ma034052v
M.C. Staub, C.Y. Li, Polymer crystallization at liquid-liquid interface. Polym. Cryst. 1(4), e10045 (2018). https://doi.org/10.1002/pcr2.10045
W. Wang, M.C. Staub, T. Zhou, D.M. Smith, H. Qi, E.D. Laird, S. Cheng, C.Y. Li, Polyethylene nano crystalsomes formed at a curved liquid/liquid interface. Nanoscale 10, 268–276 (2018). https://doi.org/10.1039/C7NR08106E
Y. Ming, Z. Zhou, S. Zhang, Y. Wei, T. Hao, Y. Nie, Molecular simulation of crystallization of polymers confined in cylindrical nanodomain. Polymer 206, 122818 (2020). https://doi.org/10.1016/j.polymer.2020.122818
M.J. Abraham, T. Murtola, R. Schulz, S. Páll, J.C. Smith, B. Hess, E. Lindahl, GROMACS: High performance molecular simulations through multi-level parallelism from laptops to supercomputers. SoftwareX 1–2, 19–25 (2015). https://doi.org/10.1016/j.softx.2015.06.001
K. Vanommeslaeghe, E. Hatcher, C. Acharya, S. Kundu, S. Zhong, J. Shim, E. Darian, O. Guvench, P. Lopes, I. Vorobyov, A.D. Mackerell Jr., CHARMM general force field: a force field for drug-like molecules compatible with the CHARMM all-atom additive biological force fields. J. Comput. Chem. 31(4), 671–690 (2010). https://doi.org/10.1002/jcc.21367
A.D.J. MacKerell, D. Bashford, M. Bellott, R.L.J. 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. Wiórkiewicz-Kuczera, D. Yin, M. Karplus, All-atom empirical potential for molecular modeling and dynamics studies of proteins. J. Phys. Chem. B 102(18), 3586–3616 (1998). https://doi.org/10.1021/jp973084f
Y.K. Choi, S.J. Park, S. Park, S. Kim, N.R. Kern, J. Lee, W. Im, CHARMM-GUI polymer builder for modeling and simulation of synthetic polymers. J. Chem. Theory Comput. 17(4), 2431–2443 (2021). https://doi.org/10.1021/acs.jctc.1c00169
S. Jo, T. Kim, V.G. Iyer, W. Im, CHARMM-GUI: a web-based graphical user interface for CHARMM. J. Comput. Chem. 29(11), 1859–1865 (2008). https://doi.org/10.1002/jcc.20945
G. Bussi, D. Donadio, M. Parrinello, Canonical sampling through velocity rescaling. J. Chem. Phys. 126(1), 014101 (2007). https://doi.org/10.1063/1.2408420
H.J.C. Berendsen, J.P.M. Postma, W.F. van Gunsteren, A. DiNola, J.R. Haak, Molecular dynamics with coupling to an external bath. J. Chem. Phys. 81(8), 3684–3690 (1984). https://doi.org/10.1063/1.448118
M. Parrinello, A. Rahman, Polymorphic transitions in single crystals: a new molecular dynamics method. J. Appl. Phys. 52(12), 7182–7190 (1981). https://doi.org/10.1063/1.328693
M.P. Allen, D.J. Tildesley, Computer Simulation of Liquids, 2nd edn. (Oxford University Press, New York, 2017), pp.46–94
W. Zhang, L. Zou, Mismatch in nematic interactions leads to composition-dependent crystal nucleation in polymer blends. Macromolecules 56(6), 2234–2245 (2023). https://doi.org/10.1021/acs.macromol.2c02378
D. Morse, G. Fredrickson, Semiflexible polymers near interfaces. Phys. Rev. Lett. 73(24), 3235–3238 (1994). https://doi.org/10.1103/physrevlett.73.3235
W. Zhang, E.D. Gomez, S.T. Milner, Surface-induced chain alignment of semiflexible polymers. Macromolecules 49(3), 963–971 (2016). https://doi.org/10.1021/acs.macromol.5b02173
C.B. Barber, D.P. Dobkin, H. Huhdanpaa, The quickhull algorithm for convex hulls. ACM Trans. Math. Softw. 22(4), 469–483 (1996). https://doi.org/10.1145/235815.235821
J. Rudnick, G. Gaspari, The aspherity of random walks. J. Phys. A 19(4), L191 (1986). https://doi.org/10.1088/0305-4470/19/4/004
B. Wunderlich, G. Czornyj, A study of equilibrium melting of polyethylene. Macromolecules 10(5), 906–913 (1977). https://doi.org/10.1021/ma60059a006
Acknowledgments
W. Zhang acknowledges the support of this project by the start-up fund from Dartmouth College. Computational time was provided by the High-Performance Computing (HPC) at Dartmouth College. Elaine L. Jiao thanks the Women in Science Project at Dartmouth College for its support.
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The research leading to these results received funding from Dartmouth College.
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Conceptualization: Wenlin Zhang; Methodology: Anderson D.S. Duraes and Wenlin Zhang; Formal analysis and investigation: Caleb Liu, Elaine L. Jiao, and Anderson D.S. Duraes; Writing—original draft preparation: Caleb Liu, Elaine L. Jiao, and Anderson D.S. Duraes; Writing—review and editing: Caleb Liu, Anderson D.S. Duraes, and Wenlin Zhang; Funding acquisition: Wenlin Zhang; Resources: Wenlin Zhang; Supervision: Wenlin Zhang.
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Liu, C., Duraes, A.D.S., Jiao, E.L. et al. Interfaces and soft confinement promote crystallization in polymer nanodroplets. MRS Advances (2024). https://doi.org/10.1557/s43580-024-00856-7
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DOI: https://doi.org/10.1557/s43580-024-00856-7