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Molecular Dimensions of Amorphous Polymers by Neutron Scattering

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Developments in Polymer Characterisation—1

Summary

Small angle neutron scattering (SANS) has been extensively applied to a number of problems in polymer science of late. This review introduces the basic theory as applied to polymers and discusses experimental considerations in a necessarily general manner. The major part of the review is taken up with specific examples in which the technique has been used. Results from bulk polymers have been instrumental in obtaining the first direct proof of the existence of unperturbed dimensions in the amorphous state. Compatibility studies of bulk polymers have also been made using this technique. Dilute solution studies have made use of the large range in scattering vector available to neutrons to measure persistence lengths of rodlike molecules and the variable contrast available to study copolymer dimensions. Small angle neutron scattering has made it possible, for the first time, to study certain assumptions of elasticity theory at a molecular level and the results so far obtained are discussed here. Finally, the ability of small angle neutron scattering to determine polymer dimensions in concentrated solution has stimulated developments in the theory of polymer solutions. The results of these theories are presented and compared with recent experimental data.

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References

  1. Willis, B. T. M. (ed.), Chemical application of thermal neutron scattering, Oxford University Press (1973).

    Google Scholar 

  2. Biopolymers have been reviewed by Jacrot, B., Rep. Prog. Phys., 39, 911 (1976); whilst measurements on crystalline polymers have been reported by Sadler, D. M. and Keller, A., Polymer, 17, 37 (1976), as well as Ballard and co-workers, Polymer, 17, 751 (1976); 18, 259 (1977).

    Article  Google Scholar 

  3. Allen, G. and Higgins, J. S., Rep. Prog. Phys., 36, 1073 (1973).

    Article  Google Scholar 

  4. Higgins, J. S. In Structural studies of macromolecules by spectroscopic methods, ed. K. J. Ivin, Wiley Interscience, London (1976).

    Google Scholar 

  5. Wright, C. J. In Structural studies of macromolecules by spectroscopic methods, ed. K. J. Ivin, Wiley Interscience, London (1976).

    Google Scholar 

  6. Hughes, D. J. and Schwartz, R. B., Neutron cross sections, US Govt. Printing Office, Washington, DC (1958).

    Google Scholar 

  7. Turchin, V. F., Slow neutrons, Israel Program for Scientific Translations, Jerusalem (1965).

    Google Scholar 

  8. Ober, R., Cotton, J. P., Farnoux, B. and Higgins, J. S., Macromolecules, 7, 634 (1974).

    Article  Google Scholar 

  9. Debye, P., Ann. Physik, 46, 809 (1915).

    Article  Google Scholar 

  10. Summerfield, G. C. In Spectroscopy in biology and chemistry neutron, X-ray, laser, ed. S. H. Chen and S. Yip, Academic Press Inc., New York (1974).

    Google Scholar 

  11. Kratky, O., Pure and Appl. Chem., 12, 483 (1966).

    Article  Google Scholar 

  12. Yamakawa, H., Pure and Appl. Chem., 46, 135 (1976).

    Article  Google Scholar 

  13. Zimm, B. H., J. Chem. Phys., 16, 1093 (1948).

    Article  Google Scholar 

  14. Kirste, R. G. and Wunderlich, W., Zeit. Phys. Chem. Neue Folge, 58, 133 (1968).

    Article  Google Scholar 

  15. Krigbaum, W. R. and Godwin, R. W., J. Chem. Phys., 43, 4523 (1965).

    Article  Google Scholar 

  16. DE Gennes, P. G., J. Phys., (Paris), 31, 235 (1970).

    Article  Google Scholar 

  17. Hayashi, H., Hamada, F. and Nakajima, A., Macromolecules, 7, 959 (1974).

    Article  Google Scholar 

  18. Hayashi, H., Hamada, F. and Nakajima, A., Macromolecules, 9, 543 (1976).

    Article  Google Scholar 

  19. Schelten, J., Kerntechnik, 14, 86 (1972).

    Google Scholar 

  20. Haywood, B. C. G. and Worcester, D. L., J. Phys. E., 6, 568 (1973).

    Article  Google Scholar 

  21. Cotton, J. P., Decker, D., Benoit, H., Farnoux, B., Higgins, J. S., Jannink, G., Ober, R., Picot, C. and Des Cloizeaux, J., Macromolecules, 7, 863 (1974).

    Article  Google Scholar 

  22. Ibel, K., J. Appl. Crystallography, 9, 296 (1976).

    Article  Google Scholar 

  23. Allen, G. and Petri, S. E. B. (eds), Physical structure of the amorphous state, Marcel Dekker Inc., New York (1977).

    Google Scholar 

  24. Flory, P. J., Principles of polymer chemistry, Cornell University Press, Ithaca, New York (1953).

    Google Scholar 

  25. Ballard, D. G. H., Wignall, G. D. and Schelten, J., Eur. Poly. J., 9, 965 (1973).

    Article  Google Scholar 

  26. Wignall, G. D., Ballard, D. G. H. and Schelten, J., Eur. Poly. J., 10, 801 (1974).

    Article  Google Scholar 

  27. Kurata, M. and Stockmayer, W. H., Fort schrit. der Hochpoly. Forschung, 3, 196 (1973).

    Article  Google Scholar 

  28. Strazielle, C. and Benoit, H., Macromolecules, 8, 203 (1975).

    Article  Google Scholar 

  29. Kirste, R. G., Kruse, W. A. and Schelten, J., Makromol. Chem., 162, 299 (1973).

    Article  Google Scholar 

  30. Schelten, J., Kruse, W. A. and Kirste, R. G., Kolloid-Z., 251, 919 (1973).

    Article  Google Scholar 

  31. Kirste, R. G., Kruse, W. A. and Ibel, K., Polvmer, 16, 120 (1975).

    Article  Google Scholar 

  32. Kirste, R. G., Makromol. Chem., 101, 91 (1967).

    Article  Google Scholar 

  33. Yoon, D. Y. and Flory, P. J., Polymer, 16, 645 (1975).

    Article  Google Scholar 

  34. Yoon, D. Y. and Flory, P. J., Macromolecules, 9, 299 (1976).

    Article  Google Scholar 

  35. Yoon, D. Y. and Flory, P. J., Macromolecules, 9, 294 (1976).

    Article  Google Scholar 

  36. Flory, P. J., Statistical mechanics of chain molecules, Wiley Interscience, New York (1969).

    Google Scholar 

  37. Lieser, G., Fischer, E. W. and Ibel, K., J. Poh. Sci., Poly. Letters, 13, 39 (1975).

    Article  Google Scholar 

  38. Schelten, J., Wignall, G. D. and Ballard, D. G. H., Polymer, 15, 682 (1974).

    Article  Google Scholar 

  39. Schelten, J., Ballard, D. G. H., Wignall, G. D., Longman, G. and Schmatz, W., Polymer, 17, 751 (1976).

    Article  Google Scholar 

  40. Allen, G. and Maconnachie, A., unpublished results.

    Google Scholar 

  41. Brandrup, E. H. and Immergut, J., Polymer handbook, 2nd ed., Wiley Interscience, New York (1975).

    Google Scholar 

  42. Kirste, R. G. and Lehnen, B. R., Makromol. Chem., 177, 1137 (1976).

    Article  Google Scholar 

  43. Kruse, W. A., Kirste, R. G., Haas, J., Schmitt, B. J. and Stein, D. J., Makromol. Chem., 177, 1145 (1976).

    Article  Google Scholar 

  44. Hildebrand, J. H. and Scott, R. L., The solubility of non-electrolytes, 3rd ed., Dover Publications, New York (1964).

    Google Scholar 

  45. Ballard, D. G. H., Rayner, M. G. and Schelten, J., Polymer, 17, 640 (1976).

    Article  Google Scholar 

  46. Ballard, D. G. H., Rayner, M. G. and Schelten, J., Polymer, 17, 349 (1976).

    Article  Google Scholar 

  47. Kratochvil, P. In Light scattering from dilute polymer solutions, ed. M. B. Huglin, Academic Press, London (1972).

    Google Scholar 

  48. Heine, S., Kratky, O. and Porod, G., Makromol. Chem., 41, 682 (1961).

    Article  Google Scholar 

  49. Guthrie, J. T., Huglin, M. B., Richards, R. W., Shah, V. I. and Simpson, A. H., Eur. Poly. J., 11, 527 (1975).

    Article  Google Scholar 

  50. Gupta, A. K., Marchal, E. and Burchard, W., Macromolecules, 8, 843 (1975).

    Article  Google Scholar 

  51. Gupta, A. K., Cotton, J. P., Marchal, E., Burchard, W. and Benoit, H., Polymer, 17, 363 (1976).

    Article  Google Scholar 

  52. Tanford, C., Physical chemistry of macromolecules, Wiley Interscience, New York (1961).

    Google Scholar 

  53. Moan, M., Wolff, C. and Ober, R., Polymer, 16, 781 (1975).

    Article  Google Scholar 

  54. Cotton, J. P. and Moan, M., J. de Physique, Lettres, 37, L75 (1976).

    Article  Google Scholar 

  55. Moan, M. and Wolff, C., Polymer, 16, 776 (1975).

    Article  Google Scholar 

  56. Oosawa, F., Polyelectrolytes, Marcel Dekker Inc., New York (1971).

    Google Scholar 

  57. Benoit, H. and Froelich, D. In Light scattering from dilute polymer solutions, ed. M. B. Huglin, Academic Press, London (1972).

    Google Scholar 

  58. Cotton, J. P. and Benoit, H., J. de Physique, 36, 905 (1975).

    Article  Google Scholar 

  59. Duval, M., Duplessix, R., Picot, C., Decker, D., Rempp, P., Benoit, H., Cotton, J. P., Jannink, G., Farnoux, B. and Ober, R., J. Poly. Sci. Poly. Letters, 14, 585 (1976).

    Article  Google Scholar 

  60. Han, C. C. and Mozer, B., Macromolecules, 10, 44 (1977).

    Article  Google Scholar 

  61. Allen, G., Proc. Roy. Soc. Ser. A., 351, 381 (1976).

    Article  Google Scholar 

  62. Flory, P. J., Ciferri, A. and Chiang, R., J. Amer. Chem. Soc, 83, 1023 (1961).

    Article  Google Scholar 

  63. Flory, P. J., Trans. Faraday Soc, 57, 829 (1961).

    Article  Google Scholar 

  64. Picot, C., Duplessix, R., Decker, D., Benoit, H., Cotton, J. P., Farnoux, B., Jannink, G. and Ober, R., Macromolecules, to be published (1978).

    Google Scholar 

  65. Benoit, H., Duplessix, R., Ober, R., Daoud, M., Cotton, J. P., Farnoux, B. and Jannink, G., Macromolecules, 8, 451 (1975).

    Article  Google Scholar 

  66. Benoit, H., Decker, D., Duplessix, R., Picot, C., Rempp, P., Cotton, J. P., Farnoux, B., Jannink, G. and Ober, R., J. Poly. Sci., Poly. Phys., 14, 2119 (1976).

    Article  Google Scholar 

  67. Singleton, R. W., Ph.D. thesis, Univ. of Manchester (1977).

    Google Scholar 

  68. Lowry, G. (ed.), Markov chains and Monte Carlo calculations in polymer science, Marcel Dekker Inc., New York (1972).

    Google Scholar 

  69. Cotton, J. P., Decker, D., Farnoux, B., Jannink, G., Ober, R. and Picot, C., Phys. Rev., Letters, 32, 1170 (1974).

    Article  Google Scholar 

  70. Edwards, S. F., Proc. Phys. Soc., 88, 265 (1966).

    Article  Google Scholar 

  71. DES Cloizeaux, J., J. de Physique, 36, 281 (1975).

    Article  Google Scholar 

  72. DE Gennes, P. G., J. de Physique, Lettres, 36, L55 (1975).

    Article  Google Scholar 

  73. Moore, M. A., J. de Physique, 38, 265 (1977).

    Article  Google Scholar 

  74. Daoud, M. and Jannink, G., J. de Physique, 37, 973 (1976).

    Article  Google Scholar 

  75. Farnoux, B., Daoud, M., Decker, D., Jannink, G. and Ober, R., J. de Physique, Lettres, 36, L35 (1975).

    Article  Google Scholar 

  76. Daoud, M., Cotton, J. P., Farnoux, B., Jannink, G., Sarma, G., Benoit, H., Duplessix, R., Picot, C. and DE Gennes, P. G., Macromolecules, 8, 804 (1975).

    Article  Google Scholar 

  77. Cotton, J. P., Farnoux, B. and Jannink, G., J. Chem. Phys., 57, 290 (1972).

    Article  Google Scholar 

  78. Cotton, J. P., Farnoux, B., Jannink, G. and Strazielle, C., J. Poly. Sci., Poly. Symposia, 42, 981 (1973).

    Article  Google Scholar 

  79. Cotton, J. P., Nierlich, M., Boue, F., Daoud, M., Farnoux, B., Jannink, G., Duplessix, R. and Picot, C., J. Chem. Phys., 65, 1101 (1976).

    Article  Google Scholar 

  80. Edwards, S. F., J. Phys. A., 8, 1670 (1975).

    Article  Google Scholar 

  81. Richards, R. W., Maconnachie, A. and Allen, G. To be published.

    Google Scholar 

  82. Edwards, S. F. and Jeffers, E. To be published.

    Google Scholar 

  83. Daoudi, S., J. de Physique, 38, 731 (1977).

    Article  Google Scholar 

  84. Katchalsky, A., Pure and App. Chem., 26, 327 (1971).

    Article  Google Scholar 

  85. DE Gennes, P. G., Pircus, P. and Velasco, R. M., J. de Physique, 37, 1461 (1976).

    Article  Google Scholar 

  86. Ionescu, L. M., Thesis, Université Louis Pasteur, Strasbourg, France (1977).

    Google Scholar 

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Authors and Affiliations

  1. University of Strathclyde, UK

    R. W. Richards

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  1. R. W. Richards
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Editors and Affiliations

  1. Chemistry Department, Loughborough University of Technology, UK

    J. V. Dawkins

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© 1978 Applied Science Publishers Ltd

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Richards, R.W. (1978). Molecular Dimensions of Amorphous Polymers by Neutron Scattering. In: Dawkins, J.V. (eds) Developments in Polymer Characterisation—1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9646-5_5

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  • DOI: https://doi.org/10.1007/978-94-009-9646-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9648-9

  • Online ISBN: 978-94-009-9646-5

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