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2011 | OriginalPaper | Buchkapitel

Making Floryr–Huggins Practical: Thermodynamics of Polymer-Containing Mixtures

verfasst von : Bernhard A. Wolf

Erschienen in: Polymer Thermodynamics

Verlag: Springer Berlin Heidelberg

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Abstract

The theoretical part of this article demonstrates how the original Flory–Huggins theory can be extended to describe the thermodynamic behavior of polymer-containing mixtures quantitatively. This progress is achieved by accounting for two features of macromolecules that the original approach ignores: the effects of chain connectivity in the case of dilute solutions, and the ability of polymer coils to change their spatial extension in response to alterations in their molecular environment. In the general case, this approach leads to composition-dependent interaction parameters, which can for most binary systems be described by means of two physically meaningful parameters; systems involving strongly interacting components, for instance via hydrogen bonds, may require up to four parameters. The general applicability of these equations is illustrated in a comprehensive section dedicated to the modeling of experimental findings. This part encompasses all types of phase equilibria, deals with binary systems (polymer solutions and polymer blends), and includes ternary mixtures; it covers linear and branched homopolymers as well as random and block copolymers. Particular emphasis is placed on the modeling of hitherto incomprehensible experimental observations reported in the literature.

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Literatur
1.
Zurück zum Zitat Flory PJ (1953) Principles of polymer chemistry. Cornell Univ. Press, Ithaca Flory PJ (1953) Principles of polymer chemistry. Cornell Univ. Press, Ithaca
2.
Zurück zum Zitat Simha R, Somcynsky T (1969) On statistical thermodynamics of spherical and chain molecule fluids. Macromolecules 2(4):342–350CrossRef Simha R, Somcynsky T (1969) On statistical thermodynamics of spherical and chain molecule fluids. Macromolecules 2(4):342–350CrossRef
3.
Zurück zum Zitat Trappeniers NJ, Schouten JA, Ten Seldam CA (1970) Gas–gas equilibrium and the two-component lattice-gas model. Chem Phys Lett 5(9):541–545CrossRef Trappeniers NJ, Schouten JA, Ten Seldam CA (1970) Gas–gas equilibrium and the two-component lattice-gas model. Chem Phys Lett 5(9):541–545CrossRef
4.
Zurück zum Zitat Sanchez IC, Lacombe RH (1976) An elementary molecular theory of classical fluids. Pure fluids. J Phys Chem 80:2352CrossRef Sanchez IC, Lacombe RH (1976) An elementary molecular theory of classical fluids. Pure fluids. J Phys Chem 80:2352CrossRef
5.
Zurück zum Zitat Dee GT, Walsh DJ (1988) A modified cell model equation of state for polymer liquids. Macromolecules 21(3):815–817CrossRef Dee GT, Walsh DJ (1988) A modified cell model equation of state for polymer liquids. Macromolecules 21(3):815–817CrossRef
6.
Zurück zum Zitat Beret S, Prausnitz JM (1975) Perturbed hard-chain theory – equation of state for fluids containing small or large molecules. AIChE J 21(6):1123–1132CrossRef Beret S, Prausnitz JM (1975) Perturbed hard-chain theory – equation of state for fluids containing small or large molecules. AIChE J 21(6):1123–1132CrossRef
7.
Zurück zum Zitat Chapman WG, Gubbins KE, Jackson G, Radosz M (1989) SAFT – equation-of-state solution model for associating fluids. Fluid Phase Equilib 52:31–38CrossRef Chapman WG, Gubbins KE, Jackson G, Radosz M (1989) SAFT – equation-of-state solution model for associating fluids. Fluid Phase Equilib 52:31–38CrossRef
8.
Zurück zum Zitat Hino T, Song YH, Prausnitz JM (1994) Liquid–liquid equilibria for copolymer mixtures from a perturbed hard-sphere-chain equation of state. Macromolecules 27(20):5681–5690CrossRef Hino T, Song YH, Prausnitz JM (1994) Liquid–liquid equilibria for copolymer mixtures from a perturbed hard-sphere-chain equation of state. Macromolecules 27(20):5681–5690CrossRef
9.
Zurück zum Zitat Fredenslund A, Jones RL, Prausnitz JM (1975) Group-contribution estimation of activity-coefficients in nonideal liquid-mixtures. AIChE J 21(6):1086–1099CrossRef Fredenslund A, Jones RL, Prausnitz JM (1975) Group-contribution estimation of activity-coefficients in nonideal liquid-mixtures. AIChE J 21(6):1086–1099CrossRef
10.
Zurück zum Zitat Heil JF, Prausnitz JM (1966) Phase equilibria in polymer solutions. AIChE J 12(4):678–685CrossRef Heil JF, Prausnitz JM (1966) Phase equilibria in polymer solutions. AIChE J 12(4):678–685CrossRef
11.
Zurück zum Zitat Vimalchand P, Donohue MD (1989) Comparison of equations of state for chain molecules. J Phys Chem 93(10):4355–4360CrossRef Vimalchand P, Donohue MD (1989) Comparison of equations of state for chain molecules. J Phys Chem 93(10):4355–4360CrossRef
12.
Zurück zum Zitat De Sousa HC, Rebelo LPN (2000) A continuous polydisperse thermodynamic algorithm for a modified Flory–Huggins model: the (polystyrene plus nitroethane) example. J Polym Sci B Polym Phys 38(4):632–651CrossRef De Sousa HC, Rebelo LPN (2000) A continuous polydisperse thermodynamic algorithm for a modified Flory–Huggins model: the (polystyrene plus nitroethane) example. J Polym Sci B Polym Phys 38(4):632–651CrossRef
13.
Zurück zum Zitat Chang TS (1939) The number of configurations in an assembly and cooperative phenomena. Proc Cambridge Philos Soc 35:265CrossRef Chang TS (1939) The number of configurations in an assembly and cooperative phenomena. Proc Cambridge Philos Soc 35:265CrossRef
14.
Zurück zum Zitat Flory PJ (1941) Thermodynamics of high polymer solutions. J Chem Phys 9:660CrossRef Flory PJ (1941) Thermodynamics of high polymer solutions. J Chem Phys 9:660CrossRef
15.
Zurück zum Zitat Flory PJ (1942) Thermodynamics of high polymer solutions. J Chem Phys 10:51CrossRef Flory PJ (1942) Thermodynamics of high polymer solutions. J Chem Phys 10:51CrossRef
16.
Zurück zum Zitat Huggins ML (1941) Solutions of long chain compounds. J Chem Phys 9:440–440CrossRef Huggins ML (1941) Solutions of long chain compounds. J Chem Phys 9:440–440CrossRef
17.
Zurück zum Zitat Huggins ML (1942) Theory of solutions of high polymers. J Chem Phys 46:151CrossRef Huggins ML (1942) Theory of solutions of high polymers. J Chem Phys 46:151CrossRef
18.
Zurück zum Zitat Horst R (1995) Calculation of phase diagrams not requiring the derivatives of the Gibbs energy demonstrated for a mixture of two homopolymers with the corresponding copolymer. Macromol Theory Simulat 4:449CrossRef Horst R (1995) Calculation of phase diagrams not requiring the derivatives of the Gibbs energy demonstrated for a mixture of two homopolymers with the corresponding copolymer. Macromol Theory Simulat 4:449CrossRef
19.
Zurück zum Zitat Horst R (1996) Calculation of phase diagrams not requiring the derivatives of the Gibbs energy for multinary mixtures. Macromol Theory and Simulat 5:789CrossRef Horst R (1996) Calculation of phase diagrams not requiring the derivatives of the Gibbs energy for multinary mixtures. Macromol Theory and Simulat 5:789CrossRef
20.
Zurück zum Zitat Horst R (1998) Computation of unstable binodals not requiring concentration derivatives of the Gibbs energy. J Phys Chem B 102(17):3243CrossRef Horst R (1998) Computation of unstable binodals not requiring concentration derivatives of the Gibbs energy. J Phys Chem B 102(17):3243CrossRef
21.
Zurück zum Zitat Koningsveld R, Stockmayer WH, Nies E (2001) Polymer phase diagrams. Oxford University Press, Oxford Koningsveld R, Stockmayer WH, Nies E (2001) Polymer phase diagrams. Oxford University Press, Oxford
22.
Zurück zum Zitat Flory PJ, Mandelkern L, Kinsinger JB, Shultz WB (1952) Molecular dimensions of polydimethylsiloxanes. J Am Chem Soc 74:3364CrossRef Flory PJ, Mandelkern L, Kinsinger JB, Shultz WB (1952) Molecular dimensions of polydimethylsiloxanes. J Am Chem Soc 74:3364CrossRef
23.
Zurück zum Zitat Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions II: Composition dependence of Flory–Huggins interaction parameters. Macromol Chem Phys 204:1381CrossRef Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions II: Composition dependence of Flory–Huggins interaction parameters. Macromol Chem Phys 204:1381CrossRef
24.
Zurück zum Zitat Eckelt J, Samadi F, Wurm F, Frey H, Wolf BA (2009) Branched versus linear polyisoprene: Flory–Huggins interaction parameters for their solutions in cyclohexane. Macromol Chem Phys 210:1433CrossRef Eckelt J, Samadi F, Wurm F, Frey H, Wolf BA (2009) Branched versus linear polyisoprene: Flory–Huggins interaction parameters for their solutions in cyclohexane. Macromol Chem Phys 210:1433CrossRef
25.
Zurück zum Zitat Bercea M, Eckelt J, Wolf BA (2008) Random copolymers: their solution thermodynamics as compared with that of the corresponding homopolymers. Ind Eng Chem Res 47:2434CrossRef Bercea M, Eckelt J, Wolf BA (2008) Random copolymers: their solution thermodynamics as compared with that of the corresponding homopolymers. Ind Eng Chem Res 47:2434CrossRef
26.
Zurück zum Zitat Eckelt J, Sugaya R, Wolf BA (2008) Pullulan and dextran: uncommon composition dependent Flory–Huggins interaction parameter of their aqueous solutions. Biomacromolecules 9:1691CrossRef Eckelt J, Sugaya R, Wolf BA (2008) Pullulan and dextran: uncommon composition dependent Flory–Huggins interaction parameter of their aqueous solutions. Biomacromolecules 9:1691CrossRef
27.
Zurück zum Zitat Wolf BA (2009) Binary interaction parameters, ternary systems: realistic modeling of liquid/liquid phase separation. Macromol Theory Simulat 18:30CrossRef Wolf BA (2009) Binary interaction parameters, ternary systems: realistic modeling of liquid/liquid phase separation. Macromol Theory Simulat 18:30CrossRef
28.
Zurück zum Zitat Wolf BA (2010) Polymer incompatibility caused by different molecular architectures: modeling via chain connectivity and conformational relaxation. Macromol Theory Simulat 19:36 Wolf BA (2010) Polymer incompatibility caused by different molecular architectures: modeling via chain connectivity and conformational relaxation. Macromol Theory Simulat 19:36
29.
Zurück zum Zitat Eckelt J, Wolf BA (2008) Thermodynamic interaction parameters for the system water/NMMO hydrate. J Phys Chem B 112:3397CrossRef Eckelt J, Wolf BA (2008) Thermodynamic interaction parameters for the system water/NMMO hydrate. J Phys Chem B 112:3397CrossRef
30.
Zurück zum Zitat Tanaka TE (2000) Experimental methods in polymer science. Academic, New York Tanaka TE (2000) Experimental methods in polymer science. Academic, New York
31.
Zurück zum Zitat Petri H-M, Wolf BA (1994) Concentration dependent thermodynamic interaction parameters for polymer solutions: quick and reliable determination via normal gas chromatography. Macromolecules 27:2714CrossRef Petri H-M, Wolf BA (1994) Concentration dependent thermodynamic interaction parameters for polymer solutions: quick and reliable determination via normal gas chromatography. Macromolecules 27:2714CrossRef
32.
Zurück zum Zitat Krüger K-M, Sadowski G (2005) Fickian and non-Fickian sorption kinetics of toluene in glassy polystyrene. Macromolecules 38:8408CrossRef Krüger K-M, Sadowski G (2005) Fickian and non-Fickian sorption kinetics of toluene in glassy polystyrene. Macromolecules 38:8408CrossRef
33.
Zurück zum Zitat Ninni L, Meirelles AJA, Maurer G (2005) Thermodynamic properties of aqueous solutions of maltodextrins from laser-light scattering, calorimetry and isopiestic investigations. Carbohydr Polym 59(3):289CrossRef Ninni L, Meirelles AJA, Maurer G (2005) Thermodynamic properties of aqueous solutions of maltodextrins from laser-light scattering, calorimetry and isopiestic investigations. Carbohydr Polym 59(3):289CrossRef
34.
Zurück zum Zitat Karimi M, Albrecht W, Heuchel M, Weigel T, Lendlein A (2008) Determination of solvent/polymer interaction parameters of moderately concentrated polymer solutions by vapor pressure osmometry. Polymer 49(10):2587–2594CrossRef Karimi M, Albrecht W, Heuchel M, Weigel T, Lendlein A (2008) Determination of solvent/polymer interaction parameters of moderately concentrated polymer solutions by vapor pressure osmometry. Polymer 49(10):2587–2594CrossRef
35.
Zurück zum Zitat Gao ZN, Li JF, Wen XL (2002) Vapor pressure osmometry and its applications in the osmotic coefficients determination of the aqueous monomer glycol and polymer polyethylene glycol solutions at various temperature. Chin J Chem 20(4):310–316 Gao ZN, Li JF, Wen XL (2002) Vapor pressure osmometry and its applications in the osmotic coefficients determination of the aqueous monomer glycol and polymer polyethylene glycol solutions at various temperature. Chin J Chem 20(4):310–316
36.
Zurück zum Zitat Eliassi A, Modarress H, Nekoomanesh M (2002) Thermodynamic studies of binary and ternary aqueous polymer solutions. Iran J Sci Technol 26(B2):285–290 Eliassi A, Modarress H, Nekoomanesh M (2002) Thermodynamic studies of binary and ternary aqueous polymer solutions. Iran J Sci Technol 26(B2):285–290
37.
Zurück zum Zitat Schreiber HP (2003) Probe selection and description in Igc: a nontrivial factor. J Appl Polym Sci 89(9):2323–2330CrossRef Schreiber HP (2003) Probe selection and description in Igc: a nontrivial factor. J Appl Polym Sci 89(9):2323–2330CrossRef
38.
Zurück zum Zitat Voelkel A, Strzemiecka B, Adamska K, Milczewska K (2009) Inverse gas chromatography as a source of physiochemical data. J Chromatogr A 1216(10):1551–1566CrossRef Voelkel A, Strzemiecka B, Adamska K, Milczewska K (2009) Inverse gas chromatography as a source of physiochemical data. J Chromatogr A 1216(10):1551–1566CrossRef
39.
Zurück zum Zitat Bercea M, Cazacu M, Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions I: Dilute solutions. Macromol Chem Phys 204:1371CrossRef Bercea M, Cazacu M, Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions I: Dilute solutions. Macromol Chem Phys 204:1371CrossRef
40.
Zurück zum Zitat Petri H-M, Schuld N, Wolf BA (1995) Hitherto ignored influences of chain length on the Flory–Huggins interaction parameter in highly concentrated polymer solutions. Macromolecules 28:4975CrossRef Petri H-M, Schuld N, Wolf BA (1995) Hitherto ignored influences of chain length on the Flory–Huggins interaction parameter in highly concentrated polymer solutions. Macromolecules 28:4975CrossRef
41.
Zurück zum Zitat Bercea M, Wolf BA (2006) Vitrification of polymer solutions as a function of solvent quality, analyzed via vapor pressures. J Chem Phys 124(17):174902–174907CrossRef Bercea M, Wolf BA (2006) Vitrification of polymer solutions as a function of solvent quality, analyzed via vapor pressures. J Chem Phys 124(17):174902–174907CrossRef
42.
Zurück zum Zitat Wolf BA, Adam HJ (1981) Second osmotic virial coefficient revisited – variation with molecular weight and temperature from endo- to exothermal conditions. J Chem Phys 75:4121CrossRef Wolf BA, Adam HJ (1981) Second osmotic virial coefficient revisited – variation with molecular weight and temperature from endo- to exothermal conditions. J Chem Phys 75:4121CrossRef
43.
Zurück zum Zitat Schotsch K, Wolf BA, Jeberien H-E, Klein J (1984) Concentration dependence of the Flory–Huggins parameter at different thermodynamic conditions. Makromol Chem 185:2169CrossRef Schotsch K, Wolf BA, Jeberien H-E, Klein J (1984) Concentration dependence of the Flory–Huggins parameter at different thermodynamic conditions. Makromol Chem 185:2169CrossRef
44.
Zurück zum Zitat Bercea M, Wolf BA (2006) Enthalpy and entropy contributions to solvent quality and inversions of heat effects with polymer concentration. Macromol Chem Phys 207(18):1661–1673CrossRef Bercea M, Wolf BA (2006) Enthalpy and entropy contributions to solvent quality and inversions of heat effects with polymer concentration. Macromol Chem Phys 207(18):1661–1673CrossRef
45.
Zurück zum Zitat Saeki S, Kuwahara S, Konno S, Kaneko M (1973) Upper and lower critical solution temperatures in polystyrene solutions. Macromolecules 6(2):246CrossRef Saeki S, Kuwahara S, Konno S, Kaneko M (1973) Upper and lower critical solution temperatures in polystyrene solutions. Macromolecules 6(2):246CrossRef
46.
Zurück zum Zitat Stryuk S, Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions III: Modeling of phase diagrams. Macromol Chem Phys 204:1948CrossRef Stryuk S, Wolf BA (2003) Chain connectivity and conformational variability of polymers: clues to an adequate thermodynamic description of their solutions III: Modeling of phase diagrams. Macromol Chem Phys 204:1948CrossRef
47.
Zurück zum Zitat Schuld N, Wolf BA (1999) Polymer–solvent interaction parameters In: Brandrup J, Immergut EH, Grulke EA (eds) Polymer handbook, 4th edn. Wiley, New York Schuld N, Wolf BA (1999) Polymer–solvent interaction parameters In: Brandrup J, Immergut EH, Grulke EA (eds) Polymer handbook, 4th edn. Wiley, New York
48.
Zurück zum Zitat Krigbaum WR, Geymer DO (1959) Thermodynamics of polymer solutions. The polystyrene–cyclohexane system near the Flory theta temperature. J Am Chem Soc 81:1859CrossRef Krigbaum WR, Geymer DO (1959) Thermodynamics of polymer solutions. The polystyrene–cyclohexane system near the Flory theta temperature. J Am Chem Soc 81:1859CrossRef
49.
Zurück zum Zitat Wolf BA, Jend R (1977) Über die Möglichkeiten zur Bestimmung von Mischungsenthalpien und -volumina aus der Molekulargewichtsabhängigkeit der kritsichen Entmischungstemperaturen und -drucke. Makromol Chem 178:1811CrossRef Wolf BA, Jend R (1977) Über die Möglichkeiten zur Bestimmung von Mischungsenthalpien und -volumina aus der Molekulargewichtsabhängigkeit der kritsichen Entmischungstemperaturen und -drucke. Makromol Chem 178:1811CrossRef
50.
Zurück zum Zitat Stryuk S, Wolf BA (2005) Liquid/gas and liquid/liquid phase behavior of n-butane/1,4-polybutadiene versus n-butane/1,2-polybutadiene. Macromolecules 38(3):812CrossRef Stryuk S, Wolf BA (2005) Liquid/gas and liquid/liquid phase behavior of n-butane/1,4-polybutadiene versus n-butane/1,2-polybutadiene. Macromolecules 38(3):812CrossRef
51.
Zurück zum Zitat Sanchez IC, Balazs AC (1989) Generalization of the lattice-fluid model for specific interactions. Macromolecules 22:2325CrossRef Sanchez IC, Balazs AC (1989) Generalization of the lattice-fluid model for specific interactions. Macromolecules 22:2325CrossRef
52.
Zurück zum Zitat Khassanova A, Wolf BA (2003) PEO/CHCl: crystallinity of the polymer and vapor pressure of the solvent – equilibrium and non-equilibrium phenomena. Macromolecules 36(17):6645CrossRef Khassanova A, Wolf BA (2003) PEO/CHCl: crystallinity of the polymer and vapor pressure of the solvent – equilibrium and non-equilibrium phenomena. Macromolecules 36(17):6645CrossRef
53.
Zurück zum Zitat Wolf BA (2005) On the reasons for an anomalous demixing behavior of polymer solutions. Macromolecules 38(4):1378CrossRef Wolf BA (2005) On the reasons for an anomalous demixing behavior of polymer solutions. Macromolecules 38(4):1378CrossRef
54.
Zurück zum Zitat Šolc K, Dušek K, Koningsveld R, Berghmans H (1995) “Zero” and “off-zero” critical concentrations in solutions of polydisperse polymers with very high molar masses. Collect Czech Chem Commun 60(10):1661–1688 Šolc K, Dušek K, Koningsveld R, Berghmans H (1995) “Zero” and “off-zero” critical concentrations in solutions of polydisperse polymers with very high molar masses. Collect Czech Chem Commun 60(10):1661–1688
55.
Zurück zum Zitat Schäfer-Soenen H, Moerkerke R, Berghmans H, Koningsveld R, Dušek K, Šolc K (1997) Zero and off-zero critical concentrations in systems containing polydisperse polymers with very high molar masses. 2. The system water-poly(vinyl methyl ether). Macromolecules 30(3):410–416CrossRef Schäfer-Soenen H, Moerkerke R, Berghmans H, Koningsveld R, Dušek K, Šolc K (1997) Zero and off-zero critical concentrations in systems containing polydisperse polymers with very high molar masses. 2. The system water-poly(vinyl methyl ether). Macromolecules 30(3):410–416CrossRef
56.
Zurück zum Zitat Meeussen F, Bauwens Y, Moerkerke R, Nies E, Berghmans H (2000) Molecular complex formation in the system poly(vinyl methyl ether)/water. Polymer 41(10):3737–3743CrossRef Meeussen F, Bauwens Y, Moerkerke R, Nies E, Berghmans H (2000) Molecular complex formation in the system poly(vinyl methyl ether)/water. Polymer 41(10):3737–3743CrossRef
57.
Zurück zum Zitat Eckelt J, Wolf BA (2007) Cellulose/water: l/g and l/l phase equilibria and their consistent modeling. Biomacromolecules 8:1865CrossRef Eckelt J, Wolf BA (2007) Cellulose/water: l/g and l/l phase equilibria and their consistent modeling. Biomacromolecules 8:1865CrossRef
58.
Zurück zum Zitat Xiong X, Eckelt J, Zhang L, Wolf BA (2009) Thermodynamics of block copolymer solutions as compared with the corresponding homopolymer solutions: experiment and theory. Macromolecules 42:8398 Xiong X, Eckelt J, Zhang L, Wolf BA (2009) Thermodynamics of block copolymer solutions as compared with the corresponding homopolymer solutions: experiment and theory. Macromolecules 42:8398
59.
Zurück zum Zitat Wolf BA (2006) Polymer–polymer interaction: consistent modeling in terms of chain connectivity and conformational response. Macromol Chem Phys 207(1):65CrossRef Wolf BA (2006) Polymer–polymer interaction: consistent modeling in terms of chain connectivity and conformational response. Macromol Chem Phys 207(1):65CrossRef
60.
Zurück zum Zitat Halary JL, Ubrich JM, Monnerie L, Yang H, Stein RS (1985) Polym Commun 26:73 Halary JL, Ubrich JM, Monnerie L, Yang H, Stein RS (1985) Polym Commun 26:73
61.
Zurück zum Zitat Ben Cheikh Larbi F, Lelong S, Halary JL, Monnerie L, Yang H (1986) Polym Commun 22:23 Ben Cheikh Larbi F, Lelong S, Halary JL, Monnerie L, Yang H (1986) Polym Commun 22:23
62.
Zurück zum Zitat Rätsch MT, Kehlen H, Wohlfarth C (1988) Polydispersity effects on the demixing behavior of poly(vinyl methyl ether)/polystyrene blends. J Macromol Sci Chem A25:1055CrossRef Rätsch MT, Kehlen H, Wohlfarth C (1988) Polydispersity effects on the demixing behavior of poly(vinyl methyl ether)/polystyrene blends. J Macromol Sci Chem A25:1055CrossRef
63.
Zurück zum Zitat Greenberg CC, Foster MD, Turner CM, Corona-Galvan S, Cloutet E, Butler PD, Hammouda B, Quirk RP (1999) Effective interaction parameter between topologically distinct polymers. Polymer 40(16):4713CrossRef Greenberg CC, Foster MD, Turner CM, Corona-Galvan S, Cloutet E, Butler PD, Hammouda B, Quirk RP (1999) Effective interaction parameter between topologically distinct polymers. Polymer 40(16):4713CrossRef
64.
Zurück zum Zitat Hill MJ, Barham PJ, Keller A, Rosney CCA (1991) Phase segregation in melts of blends of linear and branched polyethylene. Polymer 32(8):1384–1393CrossRef Hill MJ, Barham PJ, Keller A, Rosney CCA (1991) Phase segregation in melts of blends of linear and branched polyethylene. Polymer 32(8):1384–1393CrossRef
65.
Zurück zum Zitat Hill MJ, Barham PJ, Keller A (1991) Phase segregation in blends of linear with branched polyethylene – the effect of varying the molecular-weight of the linear polymer. Polymer 33(12):2530 Hill MJ, Barham PJ, Keller A (1991) Phase segregation in blends of linear with branched polyethylene – the effect of varying the molecular-weight of the linear polymer. Polymer 33(12):2530
66.
Zurück zum Zitat Stephens CH, Hiltner A, Baer E (2003) Phase behavior of partially miscible blends of linear and branched polyethylenes. Macromolecules 36(8):2733–2741CrossRef Stephens CH, Hiltner A, Baer E (2003) Phase behavior of partially miscible blends of linear and branched polyethylenes. Macromolecules 36(8):2733–2741CrossRef
67.
Zurück zum Zitat Singh C, Schweizer KS (1995) Correlation-effects and entropy-driven phase-separation in athermal polymer blends. J Chem Phys 103(13):5814–5832CrossRef Singh C, Schweizer KS (1995) Correlation-effects and entropy-driven phase-separation in athermal polymer blends. J Chem Phys 103(13):5814–5832CrossRef
68.
Zurück zum Zitat Eckelt J, Eich T, Röder T, Rüf H, Sixta H, Wolf BA (2009) Phase diagram of the ternary system NMMO/water/cellulose. Cellulose 16:373CrossRef Eckelt J, Eich T, Röder T, Rüf H, Sixta H, Wolf BA (2009) Phase diagram of the ternary system NMMO/water/cellulose. Cellulose 16:373CrossRef
69.
Zurück zum Zitat Cowie JMG, McEwen IJ (1983) Polymer co-solvent systems.6. Phase-behavior of polystyrene in binary mixed-solvents of acetone with N-alkanes – examples of classic cosolvency. Polymer 24(11):1449–1452CrossRef Cowie JMG, McEwen IJ (1983) Polymer co-solvent systems.6. Phase-behavior of polystyrene in binary mixed-solvents of acetone with N-alkanes – examples of classic cosolvency. Polymer 24(11):1449–1452CrossRef
70.
Zurück zum Zitat Wolf BA, Willms MM (1978) Measured and calculated solubility of polymers in mixed solvents: co-nonsolvency. Makromol Chem 179:2265CrossRef Wolf BA, Willms MM (1978) Measured and calculated solubility of polymers in mixed solvents: co-nonsolvency. Makromol Chem 179:2265CrossRef
71.
Zurück zum Zitat Samadi F, Eckelt J, Wolf BA, López-Villanueva F-J, Frey H (2007) Branched versus linear polyisoprene: fractionation and phase behavior. Eur Polym J 43:4236–4243CrossRef Samadi F, Eckelt J, Wolf BA, López-Villanueva F-J, Frey H (2007) Branched versus linear polyisoprene: fractionation and phase behavior. Eur Polym J 43:4236–4243CrossRef
72.
Zurück zum Zitat Francis AW (1961) Critical solution temperatures. Advances in Chemistry Series, vol 31. ACS, Washington, D.C. Francis AW (1961) Critical solution temperatures. Advances in Chemistry Series, vol 31. ACS, Washington, D.C.
73.
Zurück zum Zitat Eckelt J, Haase T, Loske S, Wolf BA (2004) Large scale fractionation of macromolecules. Macromol Mater Eng 289(5):393CrossRef Eckelt J, Haase T, Loske S, Wolf BA (2004) Large scale fractionation of macromolecules. Macromol Mater Eng 289(5):393CrossRef
74.
Zurück zum Zitat Bercea M, Eckelt J, Morariu S, Wolf BA (2009) Islands of immiscibility for solutions of compatible polymers in a common solvent: experiment and theory. Macromolecules 42:3620CrossRef Bercea M, Eckelt J, Morariu S, Wolf BA (2009) Islands of immiscibility for solutions of compatible polymers in a common solvent: experiment and theory. Macromolecules 42:3620CrossRef
75.
Zurück zum Zitat Bercea M, Eckelt J, Wolf BA (2009) Vapor pressures of polymer solutions and the modeling of their composition dependence. Ind Eng Chem Res 48:4603CrossRef Bercea M, Eckelt J, Wolf BA (2009) Vapor pressures of polymer solutions and the modeling of their composition dependence. Ind Eng Chem Res 48:4603CrossRef
Metadaten
Titel
Making Floryr–Huggins Practical: Thermodynamics of Polymer-Containing Mixtures
verfasst von
Bernhard A. Wolf
Copyright-Jahr
2011
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/12_2010_84

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