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Influence of molecular weight on scaling exponents and critical concentrations of one soluble 6FDA-TFDB polyimide in solution

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Abstract

Polyimde (PI) samples with different molecular weights were synthesized. Based on SEC coupled with multidetectors measurement and Yamakawa-Fujii-Yoshizaki (YFY) model, eight soluble samples with absolute Mw from 40,600 g/mol to 197,000 g/mol are chosen and applied to investigate the influence of molecular weight on scaling exponents and critical concentrations at 20–45 °C in dilute, semidilute unentangled, and semidilute entangled solutions. Most of the scaling exponents are higher than the theoretical values in three concentration regions, and scaling exponent increases with molecular weight; overlap concentration (C*) increases and entanglement concentration (Ce) decreases with molecular weight. Considering bead-bead interaction, corrected bead-spring model can explain the related results. Finally, the relationship among C*, Ce, and molecular weight is established at different temperatures (from 20 °C to 45 °C), and two linear equations are available at each temperature. Thus, both C* and Ce are calculated at a fixed molecular weight. And from C/C* and C/Ce ratios, the morphology of PI fiber during electrospinning can be controlled. These results are helpful to guide the preparation of polyimide solutions for different processing.

Different molecular weight soluble polyimide (PI) was synthesized and the relationship between scaling exponent (calculated from the relationship between specific viscosity and concentration) and molecular weight in different concentration ranges was established. It is found that most of the scaling exponents are higher than the theoretical values in three concentration regions, and scaling exponent increases with molecular weight. Moreover, overlap concentration (C*) increases and entanglement concentration (Ce) decreases with molecular weight, and its reason is discussed. Finally, the relationship among C*, Ce, and molecular weight is established, which is helpful in guiding the preparation of polyimide solution for different processing.

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References

  1. Ding M (2007) Isomeric polyimides. Prog Polym Sci 32(6):623–628

    Article  CAS  Google Scholar 

  2. Takuma A, Hiroyoshi K (2012) Ultrafine electrospun nanofiber created from cross-linked polyimide solution. Polymer 53(11):2217–2222

    Article  Google Scholar 

  3. Zhang C, Zhang Q, Xue Y, Li G, Liu F, Qiu X, Ji X, Gao L (2014) Effect of draw ratio on the morphologies and properties of BPDA/PMDA/ODA polyimide fibers. Chem Res Chin Univ 30(1):163–167

    Article  Google Scholar 

  4. Qu X, Ji M, Fan L, Yang S (2011) Thermoset polyimide matrix resins with improved toughness and high T-g for high temperature carbon fiber composites. High Perf Polymer 23(4):281–289

    Article  CAS  Google Scholar 

  5. Li B, Pang Y, Fang C, Gao J, Wang X, Zhang C, Liu X (2014) Influence of hydrogen-bonding interaction introduced by filled oligomer on bulk properties of blended polyimide films. J Appl Polym Sci 131(13):40498

    Google Scholar 

  6. Wang L, Hu A, Fan L, Yang S (2013) Approach to produce rigid closed-cell polyimide foams. High Perf Polymer 25(8):956–965

    Article  Google Scholar 

  7. Dong J, Yin C, Zhao X, Li Y, Zhang Q (2013) High strength polyimide fibers with functionalized grapheme. Polymer 54(23):6415–6424

    Article  CAS  Google Scholar 

  8. Wang H, Wang T, Yang S, Fan L (2013) Preparation of thermal stable porous polyimide membranes by phase inversion process for lithium-ion battery. Polymer 54(23):6339–6348

  9. Matsuura T, Hasuda Y, Nishi S, Yamada N (1991) Polyimide derived from 2,2′-bis(trifluoromethyl)-4,4′-diaminobiphenyl. 1. Synthesis and characterization of polyimides prepared with 2,2′-bis(3,4-dicarboxyphenyl)hexafluoropropane dianhydride or pyromellitic dianhydride. Macromolecules 24(18):5001–5005

    Article  CAS  Google Scholar 

  10. Zhang E, Dai X, Dong Z, Qiu X, Ji X (2016) Critical concentration and scaling exponents of one soluble polyimide from dilute to semidilute entangled solutions. Polymer 84:275–285

    Article  CAS  Google Scholar 

  11. Liu G, Qiu X, Bo S, Ji X (2012) Chain conformation and local rigidity of soluble polyimide(II): isomerized polyimides in THF. Chem Res Chin Univ 28(2):329–333

    Google Scholar 

  12. Liu G, Qiu X, Siddiq M, Bo S, Ji X (2013) Temperature dependence of chain conformation and local rigidity of isomerized polyimides in dimethyl formamide. Chem Res Chin Univ 29(5):1022–1028

    Article  CAS  Google Scholar 

  13. Gupta P, Elkins C, Long TE, Wilkes GL (2005) Electrospinning of linear homopolymers of poly(methyl methacrylate): exploring relationships between fiber formation, viscosity, molecular weight and concentration in a good solvent. Polymer 46(13):4799–4810

    Article  CAS  Google Scholar 

  14. Fujita H (1990) Polymer solution. Elsevier, Amsterdam

    Google Scholar 

  15. Kratky O, Porod G (1949) Rontgenuntersuchung geloster fadenmolekule. J Roy Neth Chem Soc 68(12):1106–1122

    CAS  Google Scholar 

  16. Yamakawa H, Fujii M (1973) Translational friction coefficient of wormlike chains. Macromolecules 6(3):407–415

    Article  CAS  Google Scholar 

  17. Bohdanecky M, Kovar J (1982) Viscosity of polymer solutions. Polymer Science Library 2, Elsevier Scientific Publishing Company, Amsterdam

  18. Bohdanecky M (1983) New method for estimating the parameters of the wormlike chain model from the intrinsic viscosity of stiff-chain polymers. Macromolecules 16(9):1483–1492

    Article  CAS  Google Scholar 

  19. Xu Z, Hadjichristidis N, Fetters L, Mays J (1995) Strcture/chain-flexibility relationships of polymers. Physical properties of polymers. Advance in Polymer Science, vol 120. Springer, Berlin

  20. Allen FH, Kennard O, Watson DG (1987) Tables of bond lengths determined by X-ray and neutron-diffraction. 1. Bond lengths in organic-compounds. J Chem Soc Perkin Trans 2:S1–S19

    Article  Google Scholar 

  21. Benoit H, Doty P (1953) Light scattering from non-gaussian chains. J Phys Chem 57(9):958–963

    Article  CAS  Google Scholar 

  22. Semenov AN, Rubinstein M (1998) Dynamic of entangled solutions of associating polymers. Macromolecules 31(4):1373–1385

    Article  CAS  Google Scholar 

  23. Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca

    Google Scholar 

  24. Huggins ML (1942) The viscosity of dilute solutions of long-chain molecules. IV Dependence on concentration J Am Chem Soc 64:2716–2718

    Article  CAS  Google Scholar 

  25. Kraemer EO (1938) Molecular weights of celluloses. Ind Eng Chem 30:1200–1203

    Article  CAS  Google Scholar 

  26. Graessley WW (1980) Polymer-chain dimensions and the dependence of viscoelastic properties on concentration, molecular-weight and solvent power. Polymer 21(3):258–262

    Article  CAS  Google Scholar 

  27. Rubinstein M, Colby RH (2003) Polymer physics. Oxford University Press, New York

    Google Scholar 

Download references

Acknowledgements

We are grateful to the financial supports from National Basic Research Program of China (2014CB643604) and National Natural Science Foundation of China (51173178).

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Authors and Affiliations

  1. State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, People’s Republic of China

    Ensong Zhang, Hongxiang Chen, Xue Liu, Wenke Yang, Wei Liu & Xiangling Ji

  2. University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Ensong Zhang, Hongxiang Chen, Xuemin Dai, Wenke Yang & Wei Liu

  3. Laboratory of Polymer Composites and Engineering, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, People’s Republic of China

    Xuemin Dai, Zhixin Dong & Xuepeng Qiu

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  1. Ensong Zhang
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  2. Hongxiang Chen
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  3. Xuemin Dai
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  4. Xue Liu
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  5. Wenke Yang
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  6. Wei Liu
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  7. Zhixin Dong
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  8. Xuepeng Qiu
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  9. Xiangling Ji
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Correspondence to Xuepeng Qiu or Xiangling Ji.

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Zhang, E., Chen, H., Dai, X. et al. Influence of molecular weight on scaling exponents and critical concentrations of one soluble 6FDA-TFDB polyimide in solution. J Polym Res 24, 47 (2017). https://doi.org/10.1007/s10965-017-1204-9

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