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Polymer Phase Separation

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Polymer Physics

Abstract

The thermodynamic phase diagrams and their implications to the kinetics of phase separation in the polymer-based miscible multi-component systems have been introduced. In addition, the microphase separation in diblock copolymer systems attracts specific theoretical and experimental attention, because their self-assembly generates various geometric patterns with nano-scale resolution, served as the templates for the fabrication of functional nano-materials.

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References

  • Abraham FF (1974) Homogeneous nucleation theory. Academic, New York

    Google Scholar 

  • Bates FS, Fredrickson GH (1990) Block copolymer thermodynamics: theory and experiment. Ann Rev Phys Chem 41:525–557

    Article  CAS  Google Scholar 

  • Bates FS, Fredrickson GH (1999) Block copolymers-designer soft materials. Phys Today 52:32–38

    Article  CAS  Google Scholar 

  • Bohbot-Raviv Y, Wang ZG (2000) Discovering new ordered phases of block copolymers. Phys Rev Lett 85:3428–3431

    Article  CAS  Google Scholar 

  • Cahn JW (1968) Spinodal decomposition. 1967 Institute of metals lecture. Trans Met Soc AIME 242:168–180

    Google Scholar 

  • Cahn JW, Hilliard JE (1958) Free energy of a nonuniform system. I. Interfacial energy. J Chem Phys 28:258–266

    Article  CAS  Google Scholar 

  • Chen D, Jiang M (2005) Strategies for constructing polymeric micelles and hollow spheres in solution via specific intermolecular interactions. Acc Chem Res 38:494–502

    Article  CAS  Google Scholar 

  • de Gennes PG (1970) Theory of x-ray scattering by liquid macromolecules with heavy atom labels. J Phys (Paris) 31:235–238

    Article  Google Scholar 

  • de Gennes PG (1979) Scaling concepts in polymer physics. Cornell University Press, Ithaca

    Google Scholar 

  • Drolet F, Fredrickson GH (1999) Combinatorial screening of complex block copolymer assembly with self-consistent field theory. Phys Rev Lett 83:4317–4320

    Article  CAS  Google Scholar 

  • Edwards SF (1965) The statistical mechanics of polymers with the excluded volume. Proc Phys Soc 85:613–624

    Article  CAS  Google Scholar 

  • Fredrickson GH, Helfand E (1987) Fluctuation effects in the theory of micro-phase separation in block copolymers. J Chem Phys 87:697–705

    Article  CAS  Google Scholar 

  • Gibbs JW (1878) On the equilibrium of heterogeneous substances. Trans Conn Acad Arts Sci 3:343–524

    Google Scholar 

  • Gibbs JW (1961) In: Bumstead HA, Van Name RG (eds) Scientific papers of J Willard Gibbs, 2 vols. Dover, New York

    Google Scholar 

  • Ginzburg VL, Landau LD (1950) Theory of superconductivity. J Exp Theor Phys (USSR) 20:1064–1082

    CAS  Google Scholar 

  • Guo M, Jiang M (2009) Non-covalently connected micelles (NCCMs): the origins and development of a new concept. Soft Matter 5:495–500

    Article  CAS  Google Scholar 

  • Guo ZJ, Zhang GJ, Qiu F, Zhang HD, Yang YL, Shi AC (2008) Discovering ordered phases of block copolymers: new results from a generic Fourier-space approach. Phys Rev Lett 101:028301

    Article  Google Scholar 

  • Helfand E (1975a) Theory of inhomogeneous polymers: fundamentals of the Gaussian random-walk model. J Chem Phys 62:999–1005

    Article  CAS  Google Scholar 

  • Helfand E (1975b) Block copolymer theory. III. Statistical mechanics of the microdomain structure. Macromolecules 8:552–556

    Article  Google Scholar 

  • Helfand E, Wasserman ZR (1976) Block copolymer theory. IV. Narrow interphase approximation. Macromolecules 9:879–888

    Article  CAS  Google Scholar 

  • Hilliard JE (1970) Spinodal decomposition. In: Phase transformations. American Society of Metals, Metals Park, p 497

    Google Scholar 

  • Hong KM, Noolandi J (1981) Theory of inhomogeneous multicomponent polymer systems. Macromolecules 14:727–736

    Article  CAS  Google Scholar 

  • Leibler L (1980) Theory of microphase separation in block copolymers. Macromolecules 13:1602–1617

    Article  CAS  Google Scholar 

  • Lifshitz IM, Slyozov VV (1961) The kinetics of precipitation from supersaturated solid solutions. J Phys Chem Solids 19:35–50

    Article  Google Scholar 

  • Liu J (2003) AFM applications in petrochemical polymers. Microsc Microanal 9(Suppl 2):452–453

    Google Scholar 

  • Matsen MW, Schick M (1994) Stable and unstable phases of a diblock copolymer melt. Phys Rev Lett 18:2660–2663

    Article  Google Scholar 

  • Ornstein LS, Zernike F (1914) Accidental deviations of density and opalescence at the critical point of a single substance. Proc Acad Sci (Amsterdam) 17:793–806

    Google Scholar 

  • Ostwald W (1896) Lehrbuch der Allgemeinen Chemie, vol 2, part 1. Engelmann, Leipzig

    Google Scholar 

  • Oxtoby DW (1998) Nucleation of first-order phase transitions. Acc Chem Res 31:91–97

    Article  CAS  Google Scholar 

  • Semenov AN (1985) Contribution to the theory of microphase layering in block copolymer melts. Sov Phys JEPT 61:733–742

    Google Scholar 

  • Strobl GR, Bendler JT, Kambour RP, Shultz AR (1986) Thermally reversible phase separation in polystyrene/poly(styrene-co-4-bromostyrene) blends. Macromolecules 19:2683–2689

    Article  CAS  Google Scholar 

  • Tyler CA, Morse DC (2005) Orthorhombic Fddd network in triblock and diblock copolymer melts. Phys Rev Lett 94:208302

    Article  Google Scholar 

  • Zhang GJ, Qiu F, Zhang HD, Yang YL, Shi AC (2010) SCFT study of tiling patterns in ABC star terpolymers. Macromolecules 43:2981–2989

    Article  CAS  Google Scholar 

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Correspondence to Wenbing Hu .

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Hu, W. (2013). Polymer Phase Separation. In: Polymer Physics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0670-9_9

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