Skip to main content
Top
Published in: Rheologica Acta 9/2014

01-09-2014 | Original Contribution

Linear viscoelasticity of unentangled corona blocks and star arms

Authors: Quan Chen, Takashi Uneyama

Published in: Rheologica Acta | Issue 9/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

ABA-type triblock copolymers form micellar structures consisting of B-rich cores and A-rich coronas in A-selective solvents. The relaxation of A corona is known to be qualitatively similar to but quantitatively different from that of a star-shaped A chain due to the geometric (spatial) constraint by the core and the thermodynamic (osmotic) constraint. The effect of the geometric constraint on the block dynamics can be modeled by a chain with one end grafted onto an impenetrable wall. We show that the impenetrable wall slightly accelerates the end-to-end vector relaxation in a direction normal to the wall while it slightly decelerates the viscoelastic terminal relaxation. To test this prediction, we performed linear viscoelastic measurements for model systems: For polystyrene–polyisoprene–polystyrene (SIS) triblock copolymers in S-selective solvent (diethyl phthalate) forming micelles, the viscoelastic relaxation of unentangled S blocks (corona blocks) was indeed slower compared with that of star-branched S chains having the same molecular weight. Nevertheless, the deceleration was stronger than that expected from our theory, and possible reasons were discussed.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Alig I, Floudas G, Avgeropoulos A, Hadjichristidis N (1997) Junction point fluctuations in microphase separated polystyrene-polyisoprene-polystyrene triblock copolymer melts. A dielectric and rheological investigation. Macromolecules 30:5004–5011CrossRef Alig I, Floudas G, Avgeropoulos A, Hadjichristidis N (1997) Junction point fluctuations in microphase separated polystyrene-polyisoprene-polystyrene triblock copolymer melts. A dielectric and rheological investigation. Macromolecules 30:5004–5011CrossRef
go back to reference Ball RC, Mcleish TCB (1989) Dynamic dilution and the viscosity of star polymer melts. Macromolecules 22:1911–1913CrossRef Ball RC, Mcleish TCB (1989) Dynamic dilution and the viscosity of star polymer melts. Macromolecules 22:1911–1913CrossRef
go back to reference Chen Q, Matsumiya Y, Iwamoto T, Nishida K, Kanaya T, Watanabe H, Takano A, Matsuoka K, Matsushita Y (2012) Dielectric behavior of guest cis-polyisoprene confined in spherical microdomain of triblock copolymer. Macromolecules 45:2809–2819CrossRef Chen Q, Matsumiya Y, Iwamoto T, Nishida K, Kanaya T, Watanabe H, Takano A, Matsuoka K, Matsushita Y (2012) Dielectric behavior of guest cis-polyisoprene confined in spherical microdomain of triblock copolymer. Macromolecules 45:2809–2819CrossRef
go back to reference Chen Q, Uno A, Matsumiya Y, Watanabe H (2010) Viscoelastic mode distribution of moderately entangled linear polymers. Nihon Reoroji Gakk 38:187–193CrossRef Chen Q, Uno A, Matsumiya Y, Watanabe H (2010) Viscoelastic mode distribution of moderately entangled linear polymers. Nihon Reoroji Gakk 38:187–193CrossRef
go back to reference Chen Q, Masser H, Shiau H, Liang S, Runt J, Painter PC, Colby RH (2014) Linear viscoelasticity and fourier transform infrared spectroscopy of polyether-ester-sulfonate copolymer ionomers. Macromolecules 47:3635–3644CrossRef Chen Q, Masser H, Shiau H, Liang S, Runt J, Painter PC, Colby RH (2014) Linear viscoelasticity and fourier transform infrared spectroscopy of polyether-ester-sulfonate copolymer ionomers. Macromolecules 47:3635–3644CrossRef
go back to reference Daoud M, Cotton JP (1982) Star shaped polymers: a model for the conformation and its concentration dependence. J Phys (Paris) 43:531–538CrossRef Daoud M, Cotton JP (1982) Star shaped polymers: a model for the conformation and its concentration dependence. J Phys (Paris) 43:531–538CrossRef
go back to reference Gennes De (1979) Scaling Concepts in Polymer Physics. Cornel University Press, New York Gennes De (1979) Scaling Concepts in Polymer Physics. Cornel University Press, New York
go back to reference Dimarzio EA (1965) Proper accounting of conformations of a polymer near a surface. J Chem Phys 42:2101–2106CrossRef Dimarzio EA (1965) Proper accounting of conformations of a polymer near a surface. J Chem Phys 42:2101–2106CrossRef
go back to reference Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon Press; Oxford University Press, Oxford Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon Press; Oxford University Press, Oxford
go back to reference Doi M, Kuzuu NY (1980) Rheology of star polymers in concentrated-solutions and melts. J Polym Sci Pol Lett 18:775–780CrossRef Doi M, Kuzuu NY (1980) Rheology of star polymers in concentrated-solutions and melts. J Polym Sci Pol Lett 18:775–780CrossRef
go back to reference Evans DJ, Morris GP (2008) Statistical mechanics of nonequilibrium liquids, 2nd edn. Cambridge University Press, CambridgeCrossRef Evans DJ, Morris GP (2008) Statistical mechanics of nonequilibrium liquids, 2nd edn. Cambridge University Press, CambridgeCrossRef
go back to reference Fang L, Takahashi Y, Takano A, Matsushita Y (2013) Molecular weight dependence of viscoelastic properties for symmetric poly(styrene-b-2-vinylpyridine)s in the nanophase separated molten states. Macromolecules 46:7097–7105CrossRef Fang L, Takahashi Y, Takano A, Matsushita Y (2013) Molecular weight dependence of viscoelastic properties for symmetric poly(styrene-b-2-vinylpyridine)s in the nanophase separated molten states. Macromolecules 46:7097–7105CrossRef
go back to reference Fetters LJ, Lohse DJ, Colby RH (2007) Chain Dimensions and Entanglement Spacings. In: Mark JE (ed) Physical properties of polymers handbook, 2nd ed. Springer, New York, pp 445–452 Fetters LJ, Lohse DJ, Colby RH (2007) Chain Dimensions and Entanglement Spacings. In: Mark JE (ed) Physical properties of polymers handbook, 2nd ed. Springer, New York, pp 445–452
go back to reference Fetters LJ, Lohse DJ, Milner ST, Graessley WW (1999) Packing length influence in linear polymer melts on the entanglement, critical, and reptation molecular weights. Macromolecules 32:6847–6851CrossRef Fetters LJ, Lohse DJ, Milner ST, Graessley WW (1999) Packing length influence in linear polymer melts on the entanglement, critical, and reptation molecular weights. Macromolecules 32:6847–6851CrossRef
go back to reference Ham JS (1957) Viscoelastic theory of branched and cross-linked polymers. J Chem Phys 26:625–633CrossRef Ham JS (1957) Viscoelastic theory of branched and cross-linked polymers. J Chem Phys 26:625–633CrossRef
go back to reference Hamley IW (2005) Block copolymers in solution: fundamentals and applications. Wiley, England Hoboken, NJCrossRef Hamley IW (2005) Block copolymers in solution: fundamentals and applications. Wiley, England Hoboken, NJCrossRef
go back to reference Kawakatsu T (2004) Statistical physics: an introduction. Springer, Berlin Kawakatsu T (2004) Statistical physics: an introduction. Springer, Berlin
go back to reference Koch M, Sommer JU, Blumen A (1997) Polymer chains tethered to impenetrable interfaces: broadening of relaxation spectra. J Chem Phys 106:1248–1256CrossRef Koch M, Sommer JU, Blumen A (1997) Polymer chains tethered to impenetrable interfaces: broadening of relaxation spectra. J Chem Phys 106:1248–1256CrossRef
go back to reference Kröger M (2004) Simple models for complex nonequilibrium fluids. Phys Rep 390:453–551CrossRef Kröger M (2004) Simple models for complex nonequilibrium fluids. Phys Rep 390:453–551CrossRef
go back to reference Likos CN (2001) Effective interaction in soft condensed matter physics. Phys Rep 348:267–439CrossRef Likos CN (2001) Effective interaction in soft condensed matter physics. Phys Rep 348:267–439CrossRef
go back to reference Likhtman AE (2012) Viscoelasticity and molecular rheology, in polymer science: a comprehensive reference. In: Matyjaszewski K, Möller M (eds) vol 1. Elsevier, Amsterdam Likhtman AE (2012) Viscoelasticity and molecular rheology, in polymer science: a comprehensive reference. In: Matyjaszewski K, Möller M (eds) vol 1. Elsevier, Amsterdam
go back to reference Lodge TP, Pudil B, Hanley KJ (2002) The full phase behavior for block copolymers in solvents of varying selectivity. Macromolecules 35:4707–4717CrossRef Lodge TP, Pudil B, Hanley KJ (2002) The full phase behavior for block copolymers in solvents of varying selectivity. Macromolecules 35:4707–4717CrossRef
go back to reference Matsumiya Y, Chen Q, Uno A, Watanabe H, Takano A, Matsuoka K, Matsushita Y (2012) Dielectric behavior of styrene-isoprene (si) diblock and siis triblock copolymers: global dynamics of i blocks in spherical and cylindrical domains embedded in glassy S matrix. Macromolecules 45:7050–7060CrossRef Matsumiya Y, Chen Q, Uno A, Watanabe H, Takano A, Matsuoka K, Matsushita Y (2012) Dielectric behavior of styrene-isoprene (si) diblock and siis triblock copolymers: global dynamics of i blocks in spherical and cylindrical domains embedded in glassy S matrix. Macromolecules 45:7050–7060CrossRef
go back to reference Müller M, Schmid F (2005) Incorporating fluctuations and dynamics in self-consistent field theories for polymer blends. Adv Polym Sci 185:1058 Müller M, Schmid F (2005) Incorporating fluctuations and dynamics in self-consistent field theories for polymer blends. Adv Polym Sci 185:1058
go back to reference Okumoto M, Nakamura Y, Norisuye T, Teramoto A (1998) Excluded-volume effects in star polymer solutions: four-arm star polystyrene in benzene. Macromolecules 31:1615–1620CrossRef Okumoto M, Nakamura Y, Norisuye T, Teramoto A (1998) Excluded-volume effects in star polymer solutions: four-arm star polystyrene in benzene. Macromolecules 31:1615–1620CrossRef
go back to reference Okumoto M, Terao K, Nakamura Y, Norisuye T, Teramoto A (1997) Excluded-volume effects in star polymer solutions: four-arm star polystyrene in cyclohexane near the theta temperature. Macromolecules 30:7493–7499CrossRef Okumoto M, Terao K, Nakamura Y, Norisuye T, Teramoto A (1997) Excluded-volume effects in star polymer solutions: four-arm star polystyrene in cyclohexane near the theta temperature. Macromolecules 30:7493–7499CrossRef
go back to reference Pearson DS, Helfand E (1984) Viscoelastic Properties of star-shaped polymers. Macromolecules 17:888–895CrossRef Pearson DS, Helfand E (1984) Viscoelastic Properties of star-shaped polymers. Macromolecules 17:888–895CrossRef
go back to reference Rouse PE (1953) A Theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J Chem Phys 21:1272–1280CrossRef Rouse PE (1953) A Theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J Chem Phys 21:1272–1280CrossRef
go back to reference Sato T, Watanabe H, Osaki K, Yao ML (1996) Relaxation of spherical micellar systems of styrene-isoprene diblock copolymers.1. Linear viscoelastic and dielectric behavior. Macromolecules 29:3881–3889CrossRef Sato T, Watanabe H, Osaki K, Yao ML (1996) Relaxation of spherical micellar systems of styrene-isoprene diblock copolymers.1. Linear viscoelastic and dielectric behavior. Macromolecules 29:3881–3889CrossRef
go back to reference Schausberger A, Schindlauer G, Janeschitz-Kriegl H (1985) Rheol Acta 24:220–227CrossRef Schausberger A, Schindlauer G, Janeschitz-Kriegl H (1985) Rheol Acta 24:220–227CrossRef
go back to reference Sebastian JM, Lai C, Graessley WW, Register RA (2002) Steady-shear rheology of block copolymer melts and concentrated solutions: disordering stress in body-centered-cubic systems. Macromolecules 35:2707–2713CrossRef Sebastian JM, Lai C, Graessley WW, Register RA (2002) Steady-shear rheology of block copolymer melts and concentrated solutions: disordering stress in body-centered-cubic systems. Macromolecules 35:2707–2713CrossRef
go back to reference Uneyama T (2009) Coarse-grained Brownian dynamics simulations for symmetric diblock copolymer melts based on the soft dumbbell model, Nihon Reoroji Gakkaishi. J Soc Rheol Jpn 37:81–90CrossRef Uneyama T (2009) Coarse-grained Brownian dynamics simulations for symmetric diblock copolymer melts based on the soft dumbbell model, Nihon Reoroji Gakkaishi. J Soc Rheol Jpn 37:81–90CrossRef
go back to reference Kampen Van (2007) Stochastic processes in physics and chemistry, 3rd edn. Elsevier, Amsterdam Kampen Van (2007) Stochastic processes in physics and chemistry, 3rd edn. Elsevier, Amsterdam
go back to reference Van Ruymbeke E, Muliawan EB, Vlassopoulos D, Gao HF, Matyjaszewski K (2011) Melt rheology of star polymers with large number of small arms, prepared by crosslinking poly(n-butyl acrylate) macromonomers via ATRP. Eur Polym J 47:746–751CrossRef Van Ruymbeke E, Muliawan EB, Vlassopoulos D, Gao HF, Matyjaszewski K (2011) Melt rheology of star polymers with large number of small arms, prepared by crosslinking poly(n-butyl acrylate) macromonomers via ATRP. Eur Polym J 47:746–751CrossRef
go back to reference Watanabe H, Sakamoto T, Kotaka T (1985) Entanglements in linear polystyrenes. Macromolecules 18:1436–1442CrossRef Watanabe H, Sakamoto T, Kotaka T (1985) Entanglements in linear polystyrenes. Macromolecules 18:1436–1442CrossRef
go back to reference Watanabe H, Sato T, Osaki K (1996) Viscoelastic relaxation of styrene-butadiene diblock copolymer micellar systems.1. Behavior in a nonentangling, short polybutadiene matrix. Macromolecules 29:104–112CrossRef Watanabe H, Sato T, Osaki K (1996) Viscoelastic relaxation of styrene-butadiene diblock copolymer micellar systems.1. Behavior in a nonentangling, short polybutadiene matrix. Macromolecules 29:104–112CrossRef
go back to reference Watanabe H, Sato T, Osaki K, Matsumiya Y, Anastasiadis SH (1999) Effects of spatial confinement on dielectric relaxation of block copolymers having tail, loop, and bridge conformations. Nihon Reoroji Gakk 27:173–182CrossRef Watanabe H, Sato T, Osaki K, Matsumiya Y, Anastasiadis SH (1999) Effects of spatial confinement on dielectric relaxation of block copolymers having tail, loop, and bridge conformations. Nihon Reoroji Gakk 27:173–182CrossRef
go back to reference Watanabe H, Kanaya T, Takahashi Y (2001) Equilibrium elasticity of diblock copolymer micellar lattice. Macromolecules 34:662–665CrossRef Watanabe H, Kanaya T, Takahashi Y (2001) Equilibrium elasticity of diblock copolymer micellar lattice. Macromolecules 34:662–665CrossRef
go back to reference Watanabe H, Matsumiya Y (2005) Rheology of diblock copolymer micellar dispersions having soft cores. Macromolecules 38:3808–3819CrossRef Watanabe H, Matsumiya Y (2005) Rheology of diblock copolymer micellar dispersions having soft cores. Macromolecules 38:3808–3819CrossRef
go back to reference Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77:3701–3707CrossRef Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77:3701–3707CrossRef
go back to reference Watanabe H, Matsumiya Y, Ishida S, Takigawa T, Yamamoto T, Vlassopoulos D, Roovers J (2005) Nonlinear rheology of multiarm star chains. Macromolecules 38:7404–7415CrossRef Watanabe H, Matsumiya Y, Ishida S, Takigawa T, Yamamoto T, Vlassopoulos D, Roovers J (2005) Nonlinear rheology of multiarm star chains. Macromolecules 38:7404–7415CrossRef
go back to reference Zwanzig R, Mountain RD (1965) High-frequency elastic moduli of simple fluids. J Chem Phys 43:4464–4471CrossRef Zwanzig R, Mountain RD (1965) High-frequency elastic moduli of simple fluids. J Chem Phys 43:4464–4471CrossRef
Metadata
Title
Linear viscoelasticity of unentangled corona blocks and star arms
Authors
Quan Chen
Takashi Uneyama
Publication date
01-09-2014
Publisher
Springer Berlin Heidelberg
Published in
Rheologica Acta / Issue 9/2014
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-014-0790-2

Other articles of this Issue 9/2014

Rheologica Acta 9/2014 Go to the issue

Premium Partners