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How temperatures affect the number of dislocations in polymer single crystals

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Abstract

The influence of crystallization temperature (T c) on the number of spiral growths on poly(butylene succinate) (PBS) single crystals, obtained by self-seeding method, was systematically studied. The studies show that the statistical average number of spiral growths formed on the PBS single crystals decays exponentially with respect to the Tc. Inspired by BCF (Bruton, Cabrera and Frank) theory and L-H (Lauritzen and Hoffman) theory, a thermodynamic model has been proposed, in which the origin of spiral growth was treated as a nucleation process. The model suggests that the nucleation rate of spiral growth depends on the inverse square of super-cooling degree, which predicted the density of spiral growth formed on lamellae, and was consistent with the experiments very well.

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References

  1. Gestí, S., Casas, M.T. and Puiggali, J., Eur. Polym. J., 2008, 44(7): 2295

    Article  Google Scholar 

  2. Agbolaghi, S., Abbasi, F., Abbaspoor, S. and Osgouei, M.A., Eur. Polym. J., 2015, 66: 108

    Article  CAS  Google Scholar 

  3. Hondoh, H., Sazaki, G., Miyashita, S., Durbin, S.D., Nakajima, K. and Matsuura, Y., Cryst. Growth Des., 2001, 1(4): 327

    Article  CAS  Google Scholar 

  4. Magonov, S.N., Yerina, N.A., Ungar, G., Reneker, D.H. and Ivanov, D.A., Macromolecules, 2003, 36(15): 5637

    Article  CAS  Google Scholar 

  5. Wang, H.J., Schultz, J.M. and Yan, S.K., Polymer, 2007, 48(12): 3530

    Article  CAS  Google Scholar 

  6. Wang, F. and Wang, X.D., Nanoscale, 2014, 6(12): 6398

    Article  CAS  Google Scholar 

  7. Burton, W.K. and Cabrera, N., Discuss. Faraday Soc., 1949, 5: 33

    Article  Google Scholar 

  8. Cabrera, N. and Burton, W.K., Discuss. Faraday Soc., 1949, 5: 40

    Article  Google Scholar 

  9. Frank, F.C., Discuss. Faraday Soc., 1949, 5: 48

    Article  Google Scholar 

  10. Woo, E.M. and Lugito, G., Eur. Polym. J., 2015, 71: 27

    Article  CAS  Google Scholar 

  11. Keller, A., Colloid. Polym. Sci., 1966, 219(2): 118

    Google Scholar 

  12. Lotz, B., Kovacs, A.J. and Wittmann, J.C., J. Polym. Sci. Polym. Phys. Ed, 1975, 13(5): 909

    Article  CAS  Google Scholar 

  13. Toda, A. and Keller, A., Colloid Polym. Sci., 1993, 271(4): 328

    Article  CAS  Google Scholar 

  14. Toda, A., Okamura, M., Hikosaka, M. and Nakagawa, Y., Polymer, 2005, 46(20): 8708

    Article  CAS  Google Scholar 

  15. Peterson, J.M., J. Appl. Phys., 1968, 39(11): 4920

    Article  CAS  Google Scholar 

  16. Jaccodine, R., Nature, 1955, 176: 305

    Article  CAS  Google Scholar 

  17. Lotz, B. and Cheng, S.Z.D., Polymer, 2005, 3(26): 577

    Article  Google Scholar 

  18. Caillard, D. and Martin, J.L., Int. Mater. Rev., 2005, 50(6): 366

    Article  CAS  Google Scholar 

  19. Woodruff, D.P., Phil. Trans. R. Soc. A, 2015, 373(2039): 20140230

    Article  Google Scholar 

  20. Cherns, D. and Jiao, C.G., Phys. Rev. Lett., 2001, 87(20): 5504

    Article  Google Scholar 

  21. Akatyeva, E., Kou, L.Z., Nikiforov, I., Frauenheim, T. and Dumitrica, T., ACS Nano, 2012, 6(11): 10042

    Article  CAS  Google Scholar 

  22. Meng, F., Morin, S.A., Forticaux, A. and Jin, S., Acc. Chem. Res., 2013, 47(6): 1616

    Article  Google Scholar 

  23. Ni, Y.X., Xiong, S.Y., Volz, S. and Dumitrica, T., Phys. Rev. Lett., 2014, 113(12): 4301

    Article  Google Scholar 

  24. Cuppen, H.M., Graswinckel, W.S. and Meekes, H., Cryst. Growth Des., 2004, 4(6): 1351

    Article  CAS  Google Scholar 

  25. Duesberya, M.S. and Richardsonb, G.Y., Crit. Rev. Solid State Mater. Sci., 1991, 17(1): 1

    Article  Google Scholar 

  26. Zhang, L., Liu, K.H., Wong, A.B., Kim, J.H., Hong, X.P., Liu, C., Cao, T., Louie, S.G., Wang, F. and Yang, P., Nano Lett., 2014, 14(11): 6418

    Article  CAS  Google Scholar 

  27. Kajioka, H., Yoshimoto, S., Taguchi, K. and Toda, A., Macromolecules, 2010, 43(8): 3837

    Article  CAS  Google Scholar 

  28. Kimura, K., Horii, T. and Yamashita, Y., J. Polym. Sci., Part A: Polym. Chem., 2003, 41(21): 3275

    Article  CAS  Google Scholar 

  29. Beekmans, L.G.M., Hempenius, M.A. and Vancso, G.J., Eur. Polym. J., 2004, 40(5): 893

    Article  CAS  Google Scholar 

  30. Bassett, D.C., Principles of polymer morphology., Cambridge University Press, Cambridge, 1981, p. 45

    Google Scholar 

  31. Hirai, N., J. Polym. Sci., 1962, 59(168): 321

    Article  CAS  Google Scholar 

  32. Keith, H.D. and Chen, W.Y., Polymer, 2002, 43(23): 6263

    Article  CAS  Google Scholar 

  33. Franke, M. and Rehse, N., Macromolecules, 2007, 41(1): 163

    Article  Google Scholar 

  34. Zhang, H., Yu, M.H., Zhang, B., Reiter, R., Vielhauer, M., Mülhaupt, R., Xu, J. and Reiter, G., Phys. Rev. Lett., 2014, 112(23): 7801

    Article  Google Scholar 

  35. Nimah, H. and Woo, E.M., Cryst. Growth Des., 2014, 14(2): 576

    Article  CAS  Google Scholar 

  36. Xu, J., Guo, B.H., Zhang, Z.M., Zhou, J.J., Jiang, Y., Yan, S.K., Li, L., Wu, Q., Chen, G.Q. and Schultz, J.M., Macromolecules, 2004, 37(11): 4118

    Article  CAS  Google Scholar 

  37. Schultz, J.M. and Kinloch, D.R., Polymer, 1969, 10: 271

    Article  CAS  Google Scholar 

  38. Cai, W., Bulatov, V.V., Justo, J.F., Argon, A.S. and Yip, S., Phys. Rev. Lett., 2000, 84(15): 3346

    Article  CAS  Google Scholar 

  39. Schultz, J.M. and Washburn, J., J. Appl. Phys., 1960, 31(10): 1800

    Article  CAS  Google Scholar 

  40. Peterson, J.M., J. Appl. Phys., 1966, 37(11): 4047

    Article  CAS  Google Scholar 

  41. Peterson, J.M. and Lindenmeyer, P.H., J. Appl. Phys., 1966, 37(11): 4051

    Article  CAS  Google Scholar 

  42. Zhang, F.J., Baralia, G.G., Nysten, B. and Jonas, A.M., Macromolecules, 2011, 44(19): 7752

    Article  CAS  Google Scholar 

  43. Toda, A., Okamura, M., Hikosaka, M. and Nakagawa, Y., Polymer, 2003, 44(20): 6135

    Article  CAS  Google Scholar 

  44. Núñez, E. and Gedde, U.W., Polymer, 2005, 46(16): 5992

    Article  Google Scholar 

  45. Iwata, T. and Doi, Y., Polym. Int., 2002, 51(10): 852

    Article  CAS  Google Scholar 

  46. Gestí, S., Lotz, B., Casas, M.T., Alemán, C. and Puiggali, J., Eur. Polym. J., 2007, 43(11): 4662

    Article  Google Scholar 

  47. Ruan, J., Huang, H.Y., Huang, Y.F., Lin, C., Thierry, A., Lotz, B. and Su, A.C., Macromolecules, 2010, 43(5): 2382

    Article  CAS  Google Scholar 

  48. Iwata, T. and Doi, Y., Macromolecules, 1998, 31(8): 2461

    Article  CAS  Google Scholar 

  49. Duan, J.F. and Guo, B.H., J. Polym. Sci., Part B: Polym. Phys., 2009, 47(15): 1492

    Article  CAS  Google Scholar 

  50. Wang, X.H., Zhou, J.J., Li, L. and Chan, C.M., Macromol. Rapid Commun., 2007, 28(20): 2001

    Article  CAS  Google Scholar 

  51. Yang, J.P., Liao, Q., Zhou, J.J., Jiang, X., Zhang, X.Y., Wang, X.H., Jiang, S.D., Yan, S.K. and Li, L., Macromolecules, 2011, 44(9): 3511

    Article  CAS  Google Scholar 

  52. Schönherr, H. and Frank, C.W., Macromolecules, 2003, 36(4): 1188

    Article  Google Scholar 

  53. Shtukenberg, A.G., Zhu, Z.N., An, Z.H., Bhandari, M., Song, P.C., Kahr, B. and Ward, M.D., P. Natl. Acad. Sci. USA, 2013, 110(43): 17195

    Article  CAS  Google Scholar 

  54. Frank, F.C. and Read, W.T., Phys. Rev., 1950, 79(4): 722

    Article  CAS  Google Scholar 

  55. Forty, A.J., Phil. Mag., 1952, 43(336): 72

    Article  CAS  Google Scholar 

  56. Bruton, W.K., Cabrera, N. and Frank, F.C., Phil. Trans. R. Soc. Lond. A, 1950, 243(866): 299

    Article  Google Scholar 

  57. Ihn, K.J., Yoo, E.S. and Im, S.S., Macromolecules, 1995, 28(7): 2460

    Article  CAS  Google Scholar 

  58. Griffin, L.J., Phil. Mag., 1950, 41(313): 196

    Article  CAS  Google Scholar 

  59. Verma, A.R., Nature, 1951, 167(4258): 939

    Article  CAS  Google Scholar 

  60. Verma, A.R., Phil. Mag., 1951, 42(332): 1005

    Article  CAS  Google Scholar 

  61. Reneker, D.H. and Geil, P.H., J. Appl. Phys., 1960, 31(11): 1916

    Article  CAS  Google Scholar 

  62. Gornick, F. and Hoffman, J.D., Ind. Eng. Chem., 1966, 58(2): 41

    Article  CAS  Google Scholar 

  63. Lindenmeyer, P.H., J. Polym. Sci., Part B: Polym. Sym., 1966, 15(1): 109

    Article  Google Scholar 

  64. Holland, V.F., J. Appl. Phys., 1964, 35(11): 3234

    Google Scholar 

  65. Lauritzen, J.I. and Hoffman, J.D., J. Chem. Phys., 1959, 31: 1680

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Beijing Key Laboratory of Energy Conversion and Storage Materials, College of Chemistry, Beijing Normal University, Beijing, 100875, China

    Xiao Liu, Jian-jun Zhou  (周建军), Hong Huo & Lin Li  (李林)

  2. Department of Physics, Beijing Normal University, Beijing, 100875, China

    Qian-shi Wei & Da-dong Yan

  3. State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing, 100029, China

    Li-guo Chai & Shou-ke Yan

  4. Advanced Materials Laboratory, Department of Chemical Engineering, Tsinghua University, Beijing, 100084, China

    Jun Xu

Authors
  1. Xiao Liu
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  2. Qian-shi Wei
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  3. Li-guo Chai
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  4. Jian-jun Zhou  (周建军)
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  5. Hong Huo
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  9. Lin Li  (李林)
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Correspondence to Jian-jun Zhou  (周建军) or Lin Li  (李林).

Additional information

This work was financially supported by the National Natural Science Foundation of China (No. 21434003), the National High Technology Research and Development Program of China (No. 2015AA033801), the National Science and Technology Major Project of the Ministry of Science and Technology of China (No. 2013ZX09J13110-11B), the Fundamental Research Funds for the Central Universities, and the Program for Changjiang Scholars and Innovative Research Team in University. Jun Xu would like to thank the National Natural Science Foundation of China (No. 21374054) and the Sino-German Center for Research Promotion.

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Liu, X., Wei, Qs., Chai, Lg. et al. How temperatures affect the number of dislocations in polymer single crystals. Chin J Polym Sci 35, 78–86 (2017). https://doi.org/10.1007/s10118-017-1872-2

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  • DOI: https://doi.org/10.1007/s10118-017-1872-2

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