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Swelling pressure equilibrium of swollen crosslinked systems in an external field. II: The determination of molecular parameters of gelatin/water gels from the swelling pressure-concentration curves

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Progress in Analytical Ultracentrifugation

Part of the book series: Progress in Colloid & Polymer Science ((PROGCOLLOID,volume 86))

Abstract

Physically crosslinked watery gels of a dialyzed pigskin gelatin of type A are investigated by means of equilibrium runs at 10 and 20°C. From the data of the Schlieren patterns the swelling pressure-concentration curves can be calculated. It can be shown that equilibria are achieved in all cases and that the swelling pressure which is calculated for a given concentration is independent of the rotational speed selected for the experiment if all other conditions are kept constant. The results are described by the swelling equation of the Flory-Huggins type where the interaction paramter x is allowed to depend linearly on the polymer concentration. Thus, two interaction constants and the network parameter have been calculated for each network by means of a nonlinear numerical iteration due to the Gauss-Jordan procedure. With these constants the swelling pressure-concentration curves are well described. The x-parameter at low initial concentration of the polymer is very close to the value which has been experimentally determined in polymer solutions in the highly diluted range above the coil-helix transition range. Both x-values reveal the influence of a highly branched structure of the polymer network. The calculated elastic modulus has nearly the same order of magnitude as that which has been obtained from the experimentally determined real part of the complex shear modulus of the same gel.

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References

  1. Posnjak E (1912) Koll Chem Beiheft 3:417

    CAS  Google Scholar 

  2. Lloyd DJ, Moran T (1934) Proc Roy Soc 147A:382

    Google Scholar 

  3. Pennings AJ, Prins WJ (1961) Polymer Science 49

    Google Scholar 

  4. van de Kraats EJ (1968) Rec Trav Chim Pays Bas 87:1137

    Google Scholar 

  5. Borchard W (1966) Dissertation, Aachen

    Google Scholar 

  6. Brochard W, Emberger A, Schwarz J (1978) Die Angewandte Makromolekulare Chemie 66, Nr. 986:43

    Google Scholar 

  7. Borchard W (1975) Progr Colloid Polym Sci 57:39

    Article  CAS  Google Scholar 

  8. Svedberg T, Pedersen KO (1940) Die Ultrazentrifuge, Steinkopff, Dresden

    Google Scholar 

  9. Johnson P (1964) Proc Royal Soc A 278:527

    Article  Google Scholar 

  10. Johnson P, Metcalfe JC (1967) Europ Polym J 3:423

    Article  CAS  Google Scholar 

  11. Johnson P, King RW (1968) J Photograph Sci 16:82

    CAS  Google Scholar 

  12. Johnson P (1971) J Photograph Sci 19:49

    CAS  Google Scholar 

  13. Johnson P (1970) Velocity and equilibrium aspects of the sedimentation of agar gels in Photographic Gelatin I, Academic Press, London:13

    Google Scholar 

  14. Richard AJ (1983) Biopolymers 22(3):935

    Article  CAS  Google Scholar 

  15. Richard AJ (1984) Biopolymers 23(7):1307

    Article  CAS  Google Scholar 

  16. Richard AJ, Westkaemper RB (1986) Biopolymers 25(10):2017

    Article  CAS  Google Scholar 

  17. Lange H (1986) Colloid Polym Sci 264:488

    Article  CAS  Google Scholar 

  18. Holtus G, Borchard W (1989) Colloid Polym Sci 267:1333

    Article  Google Scholar 

  19. Holtus G (1990) Dissertation, Duisburg

    Google Scholar 

  20. Cölfen H (1991) Diplomarbeit, Duisburg

    Google Scholar 

  21. Cölfen H, Borchard W this issue

    Google Scholar 

  22. Borchard W thsis issue

    Google Scholar 

  23. Flory PJ (1942) J Chem Phys 10:51

    Article  CAS  Google Scholar 

  24. Huggins ML (1943) Ann NY Acad Sci 44:431

    Article  CAS  Google Scholar 

  25. Staverman AJ (1962) Thermodynamics of Polymers in flügge S (1962) Encyclopedia of Physics/Handbuch der Physik, Springer Berlin-Göttingen-Heidelberg 1962

    Google Scholar 

  26. Borchard W (1975) Habilitation, Clausthal

    Google Scholar 

  27. Dusek K, Prins W (1968) Adv Polym Sci 6:58

    Google Scholar 

  28. Candau S, Bastide J, Delsanti M (1982) Structural Elastic and Dynamic Properties of Swollen Polymer Networks in Dusek K (1982) Polymer Networks Springer Berlin-Heidelberg-New York 27

    Google Scholar 

  29. Graessley WW (1975) Macromolecules 8:186, 865

    Article  CAS  Google Scholar 

  30. Edwards SF (1971) The Statistical Mechanics of Rubbers in Chömpff & Newman (1971) Polymer Network Structure and Mechanical Properties, Plenum Press, New York-London

    Google Scholar 

  31. Kilian HG, Schenk H, Wolff S (1987) Colloid Polym Sci 265 Nr. 5:410

    Article  CAS  Google Scholar 

  32. Scholte TG (1971) J Polym Sci 9A2:1553

    Google Scholar 

  33. Staverman AJ (1982) Properties of Phantom Networks and Real Networks in Dusek K (1982) Polymer Networks, Springer Berlin-Heidelberg-New York 1982:73

    Google Scholar 

  34. Rehage G (1964) Kolloid-Z u Z Polymere 194:16 and 196:57

    Article  CAS  Google Scholar 

  35. Koningsveld R, Kleintjens LA (1971) Macromolecules 4:5, 637

    Article  Google Scholar 

  36. Haase R (1956) Thermodynamik der Mischphasen, Springer Berlin-Göttingen-Heidelberg

    Google Scholar 

  37. Adames W, Michalczyk A, Borchard W (1989) Europ Polym J 25 Nr. 9:951

    Article  CAS  Google Scholar 

  38. Candau F, Strazielle C, Benoit H (1976) Europ Polym J 12:95

    Article  CAS  Google Scholar 

  39. Boedtker H, Doty P (1954) J Phys Chem 58:968

    Article  CAS  Google Scholar 

  40. Fietzek PP, Kühn K (1975) Cellular Biochem 8:141

    Article  CAS  Google Scholar 

  41. ter Meer HU (1985) Thermoreversible Gelierung: Carrageenan; Agarose; Alginate and Pektin in Burchard W (1985) Polysaccharide, Springer

    Google Scholar 

  42. Stauffer D, Coniglio A, Adam M (1982) Gelation and Critical Phenomena in Dusek K (1982) Polymer Networks, Springer Berlin-Heidelberg-New York 103

    Google Scholar 

  43. Keese AS (1978) Diplomarbeit, Clausthal

    Google Scholar 

  44. Borchard W, Keese A (1979) presented at the IUPAC Meeting Mainz

    Google Scholar 

  45. Borchard W, Bergmann K, Rehage G (1976) Investigations of Gelation Phenomena in Aqueous Gelatin Solutions in Photographic Gelatin II, Academic Press, London:57

    Google Scholar 

  46. Borchard W, Bergmann K, Emberger A, Rehage G (1976) Progr Colloid Polym Sci 60:20

    Google Scholar 

  47. Burg B (1988) Dissertation, Dusiburg

    Google Scholar 

  48. Burg B, Borchard W (1988) Optical and Viscoelastic Properties of Gelatin-Water During Gelation in Lemstra PJ & Kleintjens LA (1988) Integration of Fundamental Polymer Science And Technology 3, Elseiver Applied Science London-New York 323

    Google Scholar 

  49. Borchard W, Burg B (1990) Progr Colloid Polym Sci 83:200

    CAS  Google Scholar 

  50. Emberger A (1975) Diplomarbeit, Clausthal

    Google Scholar 

  51. Rose PI (1987) in Encyclopedia of Polymer Science and Engineering, Volume 7, 2nd Edition, John Wiley & Sons:499

    Google Scholar 

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Authors and Affiliations

  1. Angewandte Physikalische Chemie, Universität-GH-Duisburg, Lotharstr. 1, 4100, Duisburg 1, FRG

    -G. Holtus, H. Cölfen & W. Borchard

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  1. -G. Holtus
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  2. H. Cölfen
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  3. W. Borchard
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W. Borchard

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© 1991 Dr. Dietrich Steinkopff Verlag GmbH & Co. KG

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Holtus, G., Cölfen, H., Borchard, W. (1991). Swelling pressure equilibrium of swollen crosslinked systems in an external field. II: The determination of molecular parameters of gelatin/water gels from the swelling pressure-concentration curves. In: Borchard, W. (eds) Progress in Analytical Ultracentrifugation. Progress in Colloid & Polymer Science, vol 86. Steinkopff. https://doi.org/10.1007/BFb0115012

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  • DOI: https://doi.org/10.1007/BFb0115012

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  • Publisher Name: Steinkopff

  • Print ISBN: 978-3-7985-0910-8

  • Online ISBN: 978-3-7985-1683-0

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