Entanglement on Nucleation Barrier of Polymer Crystal

Fan Peng; Cui Nie; Ting-Yu Xu; Jun-Fang Sheng; Wei Chen; Wan-Cheng Yu; Liang-Bin Li

doi:10.1007/s10118-022-2780-7

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Entanglement on Nucleation Barrier of Polymer Crystal

RESEARCH ARTICLE | Updated：2022-11-16

- Entanglement on Nucleation Barrier of Polymer Crystal
- Entanglement on Nucleation Barrier of Polymer Crystal
- 高分子科学（英文版） 2022年40卷第12期页码：1640-1650
- Affiliations：
  
  National Synchrotron Radiation Laboratory, Anhui Provincial Engineering Laboratory of Advanced Functional Polymer Film, CAS Key Laboratory of Soft Matter Chemistry, University of Science and Technology of China, Hefei 230026, China
- Author bio：
  
  jfsheng@ustc.edu.cn (J.F.S.)
  lbli@ustc.edu.cn (L.B.L.)
- Funds：
  
  We would like to thank Prof. Murugappan Muthukumar (UMass) for valuable discussions about how to compute surface free energy and Prof. Martin Kröger (Eidgenössische Technische Hochschule Zürich) for his support with the Z1 algorithm. This work was finacially supported by the National Key R&D Program of China (No. 2020YFA0405800), the National Natural Science Foundation of China (No. 51890872) and the Anhui Provincial Key R&D Program (Nos. 202004a05020075 and 202104a05020008).;Electronic supplementary information (ESI) is available free of charge in the online version of this article at http://doi.org/10.1007/s10118-022-2780-7.
- DOI：10.1007/s10118-022-2780-7
  中图分类号：
- 收稿：2022-04-07，
  
  修回：2022-4-21，
  
  录用：2022-4-25，
  
  网络首发：2022-07-20，
  
  纸质出版：2022-12-01
- Accepted：
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Peng, F.; Nie, C; Xu, T. Y.; Sheng, J. F.; Chen, W.; Yu, W. C.; Li, L. B. Entanglement on nucleation barrier of polymer crystal. Chinese J. Polym. Sci. 2022, 40, 1640–1650

Fan Peng, Cui Nie, Ting-Yu Xu, et al. Entanglement on Nucleation Barrier of Polymer Crystal[J]. Chinese Journal of Polymer Science, 2022, 40(12): 1640-1650.
Peng, F.; Nie, C; Xu, T. Y.; Sheng, J. F.; Chen, W.; Yu, W. C.; Li, L. B. Entanglement on nucleation barrier of polymer crystal. Chinese J. Polym. Sci. 2022, 40, 1640–1650 DOI： 10.1007/s10118-022-2780-7.

Fan Peng, Cui Nie, Ting-Yu Xu, et al. Entanglement on Nucleation Barrier of Polymer Crystal[J]. Chinese Journal of Polymer Science, 2022, 40(12): 1640-1650. DOI： 10.1007/s10118-022-2780-7.

摘要

A detailed study of the nucleation in melts with different entanglements is performed using MD simulation. Then we propose a theoretical approach to quantitatively account for the role of entanglement in the nucleation of polymer melts.

Abstract

We propose a theoretical approach to quantitatively account for the role of entanglement in the nucleation of polymer melts

which is the unique feature of polymer differentiated from small molecules. By performing molecular dynamics simulations

we obtain the nucleation barriers of polymer systems with different entanglement densities

which exhibits an opposite trend compared to the prediction of the classic nucleation theory (CNT). To amend the deficiency of the CNT in polymer crystallization

we introduce the entanglement free energy to reflect the role of entanglement in polymer nucleation. Specifically

the polymer nucleation not only involves free energies of monomers inside and on the surface of a nucleus as considered in the CNT

but also affects the entanglement network around the nucleus. Our theoretical approach provides a reasonable interpretation for the unsolved nucleation phenomena of polymers in simulations and experiments.

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Keywords

references

Hoffman, J. D.; Miller, R. L . Kinetic of crystallization from themelt and chain folding in polyethylene fractions revisited: theory andexperiment . Polymer , 1997 . 38 3151 - 3212 . DOI: 10.1016/S0032-3861(97)00071-2 http://doi.org/10.1016/S0032-3861(97)00071-2 .

Yamamoto, T. Molecular dynamics simulation of polymer ordering. II . Crystallization from the melt . J. Chem. Phys. , 2001 . 115 8675 - 8680 . DOI: 10.1063/1.1410377 http://doi.org/10.1063/1.1410377 .

Shirvanyants, D.; Panyukov, S.; Liao, Q.; Rubinstein, M . Long-range correlations in a polymer chain due to its connectivity . Macromolecules , 2008 . 41 1475 - 1485 . DOI: 10.1021/ma071443r http://doi.org/10.1021/ma071443r .

Yamamoto, T . Molecular dynamics simulations of steady-state crystal growth and homogeneous nucleation in polyethylene-like polymer . J. Chem. Phys. , 2008 . 129 184903 DOI: 10.1063/1.3009229 http://doi.org/10.1063/1.3009229 .

Yamamoto, T . Molecular dynamics simulation of polymer crystallization through chain folding . J. Chem. Phys. , 1997 . 107 2653 - 2663 . DOI: 10.1063/1.474576 http://doi.org/10.1063/1.474576 .

de Gennes, P. G . Reptation of a polymer chain in the presence of fixed obstacles . J. Chem. Phys. , 1971 . 55 572 - 579 . DOI: 10.1063/1.1675789 http://doi.org/10.1063/1.1675789 .

Graham, R. S.; Likhtman, A. E.; McLeish, T. C. B.; Milner, S. T . Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release . J. Rheol. , 2003 . 47 1171 - 1200 . DOI: 10.1122/1.1595099 http://doi.org/10.1122/1.1595099 .

Dai, L . Developing the tube theory for polymer knots . Phys. Rev. Res. , 2020 . 2 022014 DOI: 10.1103/PhysRevResearch.2.022014 http://doi.org/10.1103/PhysRevResearch.2.022014 .

Lee, N . K.; Diddens, D.; Meyer, H.; Johner, A. Local chain segregation and entanglements in a confined polymer melt . Phys. Rev. Lett. , 2017 . 118 067802 DOI: 10.1103/PhysRevLett.118.067802 http://doi.org/10.1103/PhysRevLett.118.067802 .

Welch, P.; Muthukumar, M . Molecular mechanisms of polymer crystallization from solution . Phys. Rev. Lett. , 2001 . 87 218302 DOI: 10.1103/PhysRevLett.87.218302 http://doi.org/10.1103/PhysRevLett.87.218302 .

Tang, X.; Chen, W.; Li, L . The tough journey of polymer crystallization: battling with chain flexibility and connectivity . Macromolecules , 2019 . 52 3575 - 3591 . DOI: 10.1021/acs.macromol.8b02725 http://doi.org/10.1021/acs.macromol.8b02725 .

DiMarzio, E. A.; Guttman, C. M.; Hoffman, J. D . Is crystallization from the melt controlled by melt viscosity and entanglement effects . Faraday Discuss. Chem. Soc. , 1979 . 68 210 - 217 . DOI: 10.1039/dc9796800210 http://doi.org/10.1039/dc9796800210 .

Luo, C.; Sommer, J. U . Disentanglement of linear polymer chains toward unentangled crystals . ACS Macro Lett. , 2013 . 2 31 - 34 . DOI: 10.1021/mz300552x http://doi.org/10.1021/mz300552x .

Hikosaka, M.; Amano, K.; Rastogi, S.; Keller, A. Lamellar thickening growth of an extended chain single crystal of polyethylene. 1 . Pointers to a new crystallization mechanism of polymers . Macromolecules , 1997 . 30 2067 - 2074 . DOI: 10.1021/ma960746a http://doi.org/10.1021/ma960746a .

Lippits, D.; Rastogi, S.; Talebi, S.; Bailly, C . Formation of entanglements in initially disentangled polymer melts . Macromolecules , 2006 . 39 8882 - 8885 . DOI: 10.1021/ma062284z http://doi.org/10.1021/ma062284z .

Lippits, D. R.; Rastogi, S.; Höhne, G. W. H.; Mezari, B.; Magusin, P. C. M. M . Heterogeneous distribution of entanglements in the polymer melt and its influence on crystallization . Macromolecules , 2007 . 40 1004 - 1010 . DOI: 10.1021/ma0622837 http://doi.org/10.1021/ma0622837 .

Wunderlich, B. Macromolecular Physics . NewYork, 1976 ; Vol.II.

Alizadeh, A.; Sohn, S.; Quinn, J.; Marand, H.; Shank, L. C.; Iler, H. D. Influence of structural and topological constraints on the crystallization and melting behavior of polymers: 3 . Bisphenol A polycarbonate . Macromolecules , 2001 . 34 4066 - 4078 . DOI: 10.1021/ma001417s http://doi.org/10.1021/ma001417s .

Sundararajan, P. R . Conformational features of bisphenol-A polycarbonate . Can. J. Chem , 1985 . 63 103 - 110 . DOI: 10.1139/v85-018 http://doi.org/10.1139/v85-018 .

Liu, K.; de Boer, E . L.; Yao, Y.; Romano, D.; Ronca, S.; Rastogi, S. Heterogeneous distribution of entanglements in a nonequilibrium polymer melt of UHMWPE: influence on crystallization without and with graphene oxide . Macromolecules , 2016 . 49 7497 - 7509 . DOI: 10.1021/acs.macromol.6b01173 http://doi.org/10.1021/acs.macromol.6b01173 .

S. Yamazaki, M. H., A.Toda, I. Wataoka. F. Gu . Role of entanglement in nucleation and ‘melt relaxation’ of polyethylene . Polymer , 2002 . 43 6585 - 6593 . DOI: 10.1016/S0032-3861(02)00592-X http://doi.org/10.1016/S0032-3861(02)00592-X .

Luo, C.; Sommer, J. U . Frozen topology: entanglements control nucleation and crystallization in polymers . Phys. Rev. Lett. , 2014 . 112 195702 DOI: 10.1103/PhysRevLett.112.195702 http://doi.org/10.1103/PhysRevLett.112.195702 .

Luo, C.; Sommer, J. U . Role of thermal history and entanglement related thickness selection in polymer crystallization . ACS Macro Lett. , 2016 . 5 30 - 34 . DOI: 10.1021/acsmacrolett.5b00668 http://doi.org/10.1021/acsmacrolett.5b00668 .

Zachmann, H. G . Statistische thermodynamik des kristallisierensund schmelzens von hochpolymeren stoffen . Kolloid Z. Z. Polym. , 1969 . 231 504 - 534 . DOI: 10.1007/BF01500013 http://doi.org/10.1007/BF01500013 .

Hoffman, J. D . Role of reptation in the rate of crystallization of polyethylene fractions from the melt . Polymer , 1982 . 23 656 - 670 . DOI: 10.1016/0032-3861(82)90048-9 http://doi.org/10.1016/0032-3861(82)90048-9 .

Plimpton, S.; Crozier, P.; Thompson, A . LAMMPS-large-scale atomic/molecular massively parallel simulator . Sandia Natl. Lab , 2007 . 18 43 - 49 . .

Luo, C.; Sommer, J. U . Coding coarse grained polymer model for LAMMPS and its application to polymer crystallization . Comput. Phys. Commun. , 2009 . 180 1382 - 1391 . DOI: 10.1016/j.cpc.2009.01.028 http://doi.org/10.1016/j.cpc.2009.01.028 .

Kröger, M . Shortest multiple disconnected path for the analysis of entanglements in two- and three-dimensional polymeric systems . Comput. Phys. Commun. , 2005 . 168 209 - 232 . DOI: 10.1016/j.cpc.2005.01.020 http://doi.org/10.1016/j.cpc.2005.01.020 .

Hoy, R.; S.; Foteinopoulou, K.; Kröger, M. . Topological analysis of polymeric melts: chain-length effects and fast-converging estimators for entanglement length . Phys. Rev. E , 2009 . 80 031803 DOI: 10.1103/PhysRevE.80.031803 http://doi.org/10.1103/PhysRevE.80.031803 .

Karayiannis, N. C.; Kröger, M . Combined molecular algorithms for the generation, equilibration and topological analysis of entangled polymers: methodology and performance . Int. J. Molecul. Sci. , 2009 . 10 5054 - 5089 . DOI: 10.3390/ijms10115054 http://doi.org/10.3390/ijms10115054 .

Hoy, R. S.; Kröger, M . Unified analytic expressions for the entanglement length, tube diameter, and plateau modulus of polymer melts . Phys. Rev. Lett. , 2020 . 124 147801 DOI: 10.1103/PhysRevLett.124.147801 http://doi.org/10.1103/PhysRevLett.124.147801 .

Ref [13] gives the equilibrium entanglement length of the original PVA melt is around 25 monomers, while our measured value is 16~19. The value we get with Z1 is smaller than the value obtained by the previous version of Z1, here we attribute it to the systematic error.

Kelchner, C. L.; Plimpton, S. J.; Hamilton, J. C . Dislocation nucleation and defect structure during surface indentation . Phys. Rev. B , 1998 . 58 11085 DOI: 10.1103/PhysRevB.58.11085 http://doi.org/10.1103/PhysRevB.58.11085 .

Luo, C.; Sommer, J. U . Growth pathway and precursor states in single lamellar crystallization: MD simulations . Macromolecules , 2011 . 44 1523 - 1529 . DOI: 10.1021/ma102380m http://doi.org/10.1021/ma102380m .

Nicholson, D. A.; Rutledge, G. C . Analysis of nucleation using mean first-passage time data from molecular dynamics simulation . J. Chem. Phys. , 2016 . 144 134105 DOI: 10.1063/1.4945256 http://doi.org/10.1063/1.4945256 .

Nicholson, D. A.; Rutledge, G. C . Molecular simulation of flow-enhanced nucleation in n-eicosane melts under steady shear and uniaxial extension . J. Chem. Phys. , 2016 . 145 244903 DOI: 10.1063/1.4972894 http://doi.org/10.1063/1.4972894 .

Muthukumar, M . Nucleation in polymer crystallization . Adv. Chem. Phys. , 2004 . 128 1 - 64 . .

Lauritzen, J. I.; Hoffman, J. D . Theory of formation of polymer crystals with folded chains in dilute solution . J. Res. Natl. Bur. Stand., Sect. A , 1960 . 64A 73 - 102 . DOI: 10.6028/jres.064A.007 http://doi.org/10.6028/jres.064A.007 .

Krajenta, J.; Polińska, M.; Lapienis, G.; Pawlak, A . The crystallization of poly(ethylene oxide) with limited density of macromolecular entanglements . Polymer , 2020 . 197 122500 DOI: 10.1016/j.polymer.2020.122500 http://doi.org/10.1016/j.polymer.2020.122500 .

Tian, N.; Liu, D.; Wei, H.; Liu, Y.; Kong, J . Crystallization of polycaprolactone with reduced entanglement . Eur. Polym. J. , 2018 . 102 38 - 44 . DOI: 10.1016/j.eurpolymj.2018.03.017 http://doi.org/10.1016/j.eurpolymj.2018.03.017 .

Turnbull, D.; Fisher, J. C . Rate of nucleation in condensed systems . J. Chem. Phys. , 1949 . 17 71 - 73 . DOI: 10.1063/1.1747055 http://doi.org/10.1063/1.1747055 .

Flory, P. J. Thermodynamics of crystallization in high polymers. I . Crystallization induced by stretching . J. Chem. Phys. , 1947 . 15 397 - 408 . DOI: 10.1063/1.1746537 http://doi.org/10.1063/1.1746537 .

Piaggi, P . M.; Valsson, O.; Parrinello, M. Enhancing entropy and enthalpy fluctuations to drive crystallization in atomistic simulations . Phys. Rev. Lett. , 2017 . 119 015701 DOI: 10.1103/PhysRevLett.119.015701 http://doi.org/10.1103/PhysRevLett.119.015701 .

Nafar Sefiddashti, M. H.; Edwards, B. J.; Khomami, B . A Thermodynamically inspired method for quantifying phase transitions in polymeric liquids with application to flow-induced crystallization of a polyethylene melt . Macromolecules , 2020 . 53 10487 - 10502 . DOI: 10.1021/acs.macromol.0c02144 http://doi.org/10.1021/acs.macromol.0c02144 .

Nettleton, R. E.; Green, M. S . Expression in terms of molecular distribution functions for the entropy density in an infinite system . J. Chem. Phys. , 1958 . 29 1365 DOI: 10.1063/1.1744724 http://doi.org/10.1063/1.1744724 .

Muthukumar, M . Molecular modelling of nucleation in polymers . Phil. Trans. R. Soc. A. , 2003 . 361 539 - 556 . DOI: 10.1098/rsta.2002.1149 http://doi.org/10.1098/rsta.2002.1149 .

Andreev, M.; Rutledge, G. C . A slip-link model for rheology of entangled polymer melts with crystallization . J. Rheol. , 2020 . 64 213 - 222 . DOI: 10.1122/1.5124383 http://doi.org/10.1122/1.5124383 .

Shanbhag, S.; Larson, R. G.; Takimoto, J.; Doi, M. . Deviations from dynamic dilution in the terminal relaxation of star polymers . Phys. Rev. Lett. , 2001 . 87 195502 DOI: 10.1103/PhysRevLett.87.195502 http://doi.org/10.1103/PhysRevLett.87.195502 .

Dambal, A.; Kushwaha, A.; Shaqfeh, E. S. G . Slip-link simulations of entangled, finitely extensible, wormlike chains in shear flow . Macromolecules , 2009 . 42 7168 - 7183 . DOI: 10.1021/ma802555r http://doi.org/10.1021/ma802555r .

Shanbhag, S.; Larson, R. G . A Slip-link model of branch-point motion in entangled polymers . Macromolecules , 2004 . 37 8160 - 8166 . DOI: 10.1021/ma034532m http://doi.org/10.1021/ma034532m .

Iwata, K . Role of entanglement in crystalline polymers 1. Basic theory . Polymer , 2002 . 43 6609 - 6626 . DOI: 10.1016/S0032-3861(02)00524-4 http://doi.org/10.1016/S0032-3861(02)00524-4 .

Iwata, K.; Edwards, S. F . New model of polymer entanglement: Localized Gauss integral model. Plateau modulus G N , topological second virial coefficient A 2 θ and physical foundation of the tube model . J. Chem. Phys. , 1989 . 90 4567 - 4581 . DOI: 10.1063/1.456617 http://doi.org/10.1063/1.456617 .

Piaggi, P. M.; Parrinello, M . Predicting polymorphism in molecular crystals using orientational entropy . Proc. Natl. Acad. Sci. U. S. A. , 2018 . 115 10251 - 10256 . DOI: 10.1073/pnas.1811056115 http://doi.org/10.1073/pnas.1811056115 .

Iyer, K.; Muthukumar, M . Langevin dynamics simulation of crystallization of ring polymers . J. Chem. Phys. , 2018 . 148 244904 DOI: 10.1063/1.5023602 http://doi.org/10.1063/1.5023602 .

Xiao, H.; Luo, C.; Yan, D.; Sommer, J. U . Molecular dynamics simulation of crystallization cyclic polymer melts as compared to their linear counterparts . Macromolecules , 2017 . 50 9796 - 9806 . DOI: 10.1021/acs.macromol.7b01570 http://doi.org/10.1021/acs.macromol.7b01570 .

Psarski, M.; Piorkowska, E.; Galeski, A . Crystallization of polyethylene from melt with lowered chain entanglements . Macromolecules , 2000 . 33 916 - 932 . DOI: 10.1021/ma990298h http://doi.org/10.1021/ma990298h .

Zhai, Z.; Fusco, C.; Morthomas, J.; Perez, M.; Lame, O . Disentangling and lamellar thickening of linear polymers during crystallization: simulation of bimodal and unimodal molecular weight distribution systems . ACS Nano , 2019 . 13 11310 - 11319 . DOI: 10.1021/acsnano.9b04459 http://doi.org/10.1021/acsnano.9b04459 .

Yamamoto, T. Crystallization of helical oligomers with chirality selection. I . A molecular dynamics simulation for bare helix . J. Chem. Phys. , 2006 . 125 64902 DOI: 10.1063/1.2234475 http://doi.org/10.1063/1.2234475 .

Sangroniz, L.; Cavallo, D.; Müller, A. J . Self-nucleation effects on polymer crystallization . Macromolecules , 2020 . 53 4581 - 4604 . DOI: 10.1021/acs.macromol.0c00223 http://doi.org/10.1021/acs.macromol.0c00223 .

Su, F.; Li, X.; Zhou, W.; Zhu, S.; Ji, Y.; Wang, Z.; Qi, Z.; Li, L . Direct formation of isotactic poly(L-butene) form I crystal from memorized ordered melt . Macromolecules , 2013 . 46 7399 - 7405 . DOI: 10.1021/ma400952r http://doi.org/10.1021/ma400952r .

Muthukumar, M . Communication: Theory of melt-memory in polymer crystallization . J. Chem. Phys. , 2016 . 145 031105 DOI: 10.1063/1.4959583 http://doi.org/10.1063/1.4959583 .

Sangroniz, L.; Cavallo, D.; Santamaria, A.; Müller, A. J.; Alamo, R. G . Thermorheologically complex self-seeded melts of propylene-ethylene copolymers . Macromolecules , 2017 . 50 642 - 651 . DOI: 10.1021/acs.macromol.6b02392 http://doi.org/10.1021/acs.macromol.6b02392 .

Graham, R. S.; Olmsted, P. D . Coarse-grained simulations of flow-induced nucleation in semicrystalline polymers . Phys. Rev. Lett. , 2009 . 103 115702 DOI: 10.1103/PhysRevLett.103.115702 http://doi.org/10.1103/PhysRevLett.103.115702 .

Yamamoto, T . Molecular dynamics simulation of stretch-induced crystallization in polyethylene: emergence of fiber structure and molecular network . Macromolecules , 2019 . 52 1695 - 1706 . DOI: 10.1021/acs.macromol.8b02569 http://doi.org/10.1021/acs.macromol.8b02569 .

Read, D. J.; McIlroy, C.; Das, C.; Harlen, O. G.; Graham, R. S . PolySTRAND model of flow-induced nucleation in polymers . Phys. Rev. Lett. , 2020 . 124 147802 DOI: 10.1103/PhysRevLett.124.147802 http://doi.org/10.1103/PhysRevLett.124.147802 .

Albouy, P. A.; Sotta, P . Draw ratio at the onset of strain-induced crystallization in cross-linked natural rubber . Macromolecules , 2020 . 53 992 - 1000 . DOI: 10.1021/acs.macromol.9b01957 http://doi.org/10.1021/acs.macromol.9b01957 .

Cui, K.; Liu, D.; Ji, Y.; Huang, N.; Ma, Z.; Wang, Z.; Lv, F.; Yang, H.; Li, L . Nonequilibrium nature of flow-induced nucleation in isotactic polypropylene . Macromolecules , 2015 . 48 694 - 699 . DOI: 10.1021/ma502412y http://doi.org/10.1021/ma502412y .

Yeh, I. C.; Andzelm, J. W.; Rutledge, G. C . Mechanical and structural characterization of semicrystalline polyethylene under tensile deformation by molecular dynamics simulations . Macromolecules , 2015 . 48 4228 - 4239 . DOI: 10.1021/acs.macromol.5b00697 http://doi.org/10.1021/acs.macromol.5b00697 .

Jabbari-Farouji, S.; Rottler, J.; Lame, O.; Makke, A.; Perez, M.; Barrat, J. L . Plastic deformation mechanisms of semicrystalline and amorphous polymers . ACS Macro Lett. , 2015 . 4 147 - 150 . DOI: 10.1021/mz500754b http://doi.org/10.1021/mz500754b .

Zhang, W.; Larson, R. G . Effect of flow-induced nematic order on polyethylene crystal nucleation . Macromolecules , 2020 . 53 7650 - 7657 . DOI: 10.1021/acs.macromol.0c01356 http://doi.org/10.1021/acs.macromol.0c01356 .

Strobl, G . Colloquium: laws controlling crystallization andmelting in bulk polymers . Rev. Mod. Phys. , 2009 . 81 1287 - 1300 . DOI: 10.1103/RevModPhys.81.1287 http://doi.org/10.1103/RevModPhys.81.1287 .

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