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Small angle neutron scattering from block copolymers

  • R. W. Richards
Conference paper
Part of the Advances in Polymer Science book series (POLYMER, volume 71)

Abstract

The theory and essential principles of small angle neutron scattering are presented together with their evolution to expressions useable in the interpretation of experimental data. The two components to the scattering law, single particle scattering and interference function scattering are identified and some classical expressions for the scattering of single particles are reviewed. Instrumental aspects are given as a general overview of the features of small angle diffractometers. The major part of the review is concerned with available experimental results on block copolymers in the solid state. The results are compared with theoretical predictions and consequently theories of microdomain formation are briefly considered. Apart from domain dimensions, and separations, results of the determination of block dimensions are reported as well as attempts at modelling the complete scattering envelope. The few experiments on block copolymers in solution and the application of contrast variation are reported and the review concludes with a report on continuing work on structural changes consequent on uniaxial extension of block copolymers.

Keywords

Block Copolymer Diblock Copolymer Bragg Peak Small Angle Neutron Scattering Small Angle Scattering 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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9 References

  1. 1.
    Annual Report of the Institut Laue-Langevin, Grenoble, FranceGoogle Scholar
  2. 2.
    Richards, R. W.: Chapter 5 in ‘Polymer Characterisation — 1'. ed. J. V. Dawkins. Applied Science Publishers. Barking 1978Google Scholar
  3. 3.
    Higgins, J. S.: in ‘Treatise on Materials Science and Technology Vol. 15'. Ed. G. Kostorz, Academic Press. London 1979Google Scholar
  4. 4.
    Maconnachie, A., Richards, R. W.: Polymer 19, 739 (1978)Google Scholar
  5. 5.
    Ballard, D. G. H.: Ch. 11 in ‘Macromolecular Chemistry, Volume 1'. Specialist Periodical Report. Royal Society of Chemistry 1980Google Scholar
  6. 6.
    Ballard, D. G. H., Janke, E.: Chapter 11 in ‘Macromolecular Chemistry Volume 2'. Specialist Periodical Report. Royal Society of Chemistry 1982Google Scholar
  7. 7.
    Ullman, R.: Ann. Rev. Mater. Sci. 10, 261, 1980Google Scholar
  8. 8.
    Higgins, J. S.: Chapter 000 in ‘Macromolecular Chemistry, Volume 3'. Specialist Periodical Report. Royal Society of Chemistry 1984Google Scholar
  9. 9.
    'Organisation of Macromolecules in the Condensed Phase'. Farad. Disc. of R.C.S. No. 68 (1979)Google Scholar
  10. 10.
    de Gennes, P. G.: 'scaling Concepts in Polymer Physics'. Cornell University Press. 1979Google Scholar
  11. 11.
    Marshall, W., Lovesey, S. W.: ‘Theory of Thermal Neutron Scattering'. Clarendon Press. Oxford 1971Google Scholar
  12. 12.
    Turchin, V. E.: ‘Slow Neutrons', Israel Program for Scientific Translations, Jerusalem, 1965Google Scholar
  13. 13.
    Kostorz, G.: ‘Treatise on Materials Science and Technology. Volume 15. Neutron Scattering'. Academic Press. New York. 1979Google Scholar
  14. 14.
    Enderby, J. E.: Ann. Rev. Phys. Chem. 34, 155 (1983)Google Scholar
  15. 15.
    Guinier, A., Fournet, G.: ‘Small Angle Scattering of X-rays', Wiley, New York 1955Google Scholar
  16. 16.
    Bacon, G. E.: ‘Neutron Diffraction'. Clarendon Press, Oxford 1967Google Scholar
  17. 17.
    Richards, R. W.: in Developments in Polymer Characterisation — ed. J. V. Dawkins. Applied Science Publishers 1984 (to be published)Google Scholar
  18. 18.
    Zaccai, G., Jacrot, B.: Ann. Rev. Biophys. Bioeng. 12, 139 (1983)Google Scholar
  19. 19.
    Porod, G.: Chapter 2 in 'small Angle X-ray Scattering'. Ed. O. Glatter and O. Kratky. LAcademic Press, London 1982Google Scholar
  20. 20.
    Kerker, M.: ‘The Scattering of Light and Other Electromagnetic Radiation'. Academic Press, London 197Google Scholar
  21. 21.
    Kratky, O.: Prog. Biophys. and Mol. Biol. 13, 105 (1963)Google Scholar
  22. 22.
    Burchard, W.: Chapter 10 in ‘Applied Fibre Science, Volume 1’ ed. H. Happey. Academic Press, 1978, LondonGoogle Scholar
  23. 23.
    Debye, P.: Ann. Physik. 46, 809 (1915); J. Phys. Colloid. Chem. 51, 98 (1947)Google Scholar
  24. 24.
    Rayleigh, Lord: Proc. Roy. Soc. A90, 219 (1914)Google Scholar
  25. 25.
    Fournet, G.: Bull. Soc. Franc. Min. et Crist. 74, 39 (1951)Google Scholar
  26. 26.
    Schmatz, W., Springer, T., Schelten, J., Ibel, K.: J. Appl. Crystallogr. 7, 96 (1978)Google Scholar
  27. 27.
    Schelten, J., Hendricks, R. B.: J. Appl. Crystallogr. 11, 297 (1978)Google Scholar
  28. 28.
    'Neutron Research Facilities at the ILL High Flux Reactor'. Office of the Scientific Secretary, Institut Laue Langevin. 1983Google Scholar
  29. 29.
    'Neutron Beam Instruments at Harwell'. HMSO. 1978Google Scholar
  30. 30.
    Mildner, D. F. R., Berliner, R., Pringle, O. A., King, J. S.: J. Appl. Cryst. 14, 370 (1981)Google Scholar
  31. 31.
    Han, C. C., Mozer, B.: Macromolecules 10, 44 (1977)Google Scholar
  32. 32.
    National Center for Small Angle Scattering Research Users' Guide. Oak Ridge National Laboratory. Tennessee 1980Google Scholar
  33. 33.
    Ghosh, R. E.: ‘A Computing Guide for Small Angle Scattering Experiments'. Institut Laue-Longevin 81GH 29TGoogle Scholar
  34. 34.
    Duplessix, R., Cotton, J. P., Benoit, H., Picot, C.: Polymer 20, 1181 (1979)Google Scholar
  35. 35.
    Gallot, B. R. M.: Adv. Polym. Sci. 29, 85 (1978)Google Scholar
  36. 36.
    Hashimoto, T., Shibayama, M., Kawai, H.: Macromolecules 13, 1237 (1980)Google Scholar
  37. 37.
    Hashimoto, M., Shibayama, M., Kawai, H.: Macromolecules 13, 1660 (1980)Google Scholar
  38. 38.
    Fujimura, M., Hashimoto, H., Kurahashi, K., Hashimoto, T., Kawai, H.: Macromolecules 14, 1196 (1981)Google Scholar
  39. 39.
    Meier, D. J.: J. Polym. Sci. C26, 81 (1969); Polym. Prepr. 11, 400 (1970); Polym. Prepr. 15, 171 (1974)Google Scholar
  40. 40.
    Leary, D. F., Williams, M. C.: J. Polym. Sci. B8, 335, 1970Google Scholar
  41. 41.
    Leary, D. F., Williams, M. C.: J. Polym. Sci. Polym. Phys. Edn. 11, 345 (1973)Google Scholar
  42. 42.
    Henderson, C. P., Williams, M. C.: J. Polym. Sci. Polym. Lett. Edn. 17, 257 (1979)Google Scholar
  43. 43.
    Helfand, E.: Macromolecules 8, 552 (1975)Google Scholar
  44. 44.
    Helfand, E., Wasserman, Z. R.: Macromolecules 9, 879 (1976)Google Scholar
  45. 45.
    Helfand, E., Wasserman, Z. R.: Macromolecules 11, 960 (1978)Google Scholar
  46. 46.
    Helfand, E., Wasserman, Z. R.: Macromolecules 13, 994 (1980)Google Scholar
  47. 47.
    Helfand, E., Wasserman, Z. R.: Chapter in ‘Developments in Block Copolymers — 1’ ed. I. Goodman. Applied Science Publishers, Barking, EssexGoogle Scholar
  48. 48.
    Leibler, L.: Macromolecules 13, 1602 (1980)Google Scholar
  49. 49.
    de Gennes, P. G.: J. Phys. (Paris) 31, 235 (1970)Google Scholar
  50. 50.
    Hong, K. M., Noolandi, J.: Macromolecules 14, 727 (1981)Google Scholar
  51. 51.
    Hong, K. M., Noolandi, J.: Macromolecules 14, 1229 (1981)Google Scholar
  52. 52.
    Noolandi, J., Hong, K. M.: Macromolecules 15, 482 (1982)Google Scholar
  53. 53.
    Hong, K. M., Noolandi, J.: Macromolecules 16, 1083 (1983)Google Scholar
  54. 54.
    Zin, W. C., Roe, R. J.: Macromolecules 17, 183 (1984)Google Scholar
  55. 55.
    Roe, R. J., Zin, W. C.: Macromolecules 17, 189 (1984)Google Scholar
  56. 56.
    Richards, R. W., Thomason, J. L.: Polymer 24, 581 (1981)Google Scholar
  57. 57.
    Berney, C. V., Cohen, R. E., Bates, F. S.: Polymer 23, 1222 (1983)Google Scholar
  58. 58.
    Bates, F. S., Cohen, R. E., Berney, C. V.: Macromolecules 15, 589 (1982)Google Scholar
  59. 59.
    Bates, F. S., Berney, C. V., Cohen, R. E.: Macromolecules 16, 1101 (1983)Google Scholar
  60. 60.
    Bates, F. S., Berney, C. V., Cohen, R. E., Wignall, G. D.: Polymer 24, 519 (1983)Google Scholar
  61. 61.
    Richards, R. W., Thomason, J. L.: Macromolecules 16, 982 (1983)Google Scholar
  62. 62.
    Djermouni, B., Ache, H. J.: Macromolecules 13, 168 (1980)Google Scholar
  63. 63.
    Krause, S.: Macromolecules 11, 1288 (1978)Google Scholar
  64. 64.
    Shen, M., Kaelble, D. H.: J. Polym. Sci. Polym. Phys. Ed. 8, 149 (1970)Google Scholar
  65. 65.
    Krause, G., Rollmann, K. W.: J. Polym. Sci. Polym. Phys. Ed. 14, 1133 (1976)Google Scholar
  66. 66.
    Chen, Y.-D. M., Cohen, R. E.: J. Appl. Polym. Sci. 21, 629 (1977)Google Scholar
  67. 67.
    Bates, F. S., Cohen, R. E., Argon, A. S.: Macromolecules 16, 1108 (1983)Google Scholar
  68. 68.
    Diament, J., Soong, D. S., Williams, M. C.: in ‘Contemporary Topics in Polymer Science Vol. 4'. Ed. W. J. Bailey. Plenum, New York 1982Google Scholar
  69. 69.
    Porod, G.: Kolloid. Z. 124, 83 (1951), 125, 51, 108 (1952)Google Scholar
  70. 70.
    Ruland, W.: J. Appl. Crystallogr. 4, 70 (1971)Google Scholar
  71. 71.
    Koberstein, J. T., Morra, B., Stein, R. S.: J. Appl. Crystallogr. 13, 34 (1980)Google Scholar
  72. 72.
    Roe, R. J.: J. Appl. Crystallogr. 15, 182 (1982)Google Scholar
  73. 73.
    Koberstein, J. T.: J. Polym. Sci. Polym. Phys. Edn. 20, 593 (1982)Google Scholar
  74. 74.
    Richards, R. W., Thomason, J. L.: Polymer 24, 1089 (1983)Google Scholar
  75. 75.
    Akcasu, A. Z., Summerfield, G. C., Jahshan, S. N., Han, C. C., Kim, C. Y., Yu, H.: J. Polym. Sci. Polym. Phys. Ed. 18, 863 (1980)Google Scholar
  76. 76.
    Tangari, C., Summerfield, G. C., King, J. S., Berliner, R., Mildner, D. F. R.: Macromolecules 13, 1546 (1980)Google Scholar
  77. 77.
    Jahshan, S. N., Summerfield, G. C.: J. Polym. Sci. Polym. Phys. Ed. 18, 1859 (1980)Google Scholar
  78. 77.
    Hadziioannou, G., Picot, C., Skoulios, A., Ionescu, M. L., Mathis, A., Duplessix, R., Gallot, Y., Lingelser, J. P.: Macromolecules 15, 263 (1982)Google Scholar
  79. 79.
    Amis, E. J., Glinka, C. J., Han, C. C., Hasewaga, H., Hashimoto, T., Lodge, T. P., Matsushita, Y.: Polym. Prepr. Am. Chem. Soc. 24, 215 (1983)Google Scholar
  80. 80.
    Miller, J. A., Cooper, S. L., Han, C. C., Pruckmayr, G.: Poly. Prepr. Am. Chem. Soc. 24, 398 (1983)Google Scholar
  81. 81.
    Hashimoto, T., Fujimura, M., Kawai, H.: Macromolecules 13, 1660 (1980)Google Scholar
  82. 82.
    Richards, R. W., Thomason, J. L.: Submitted to MacromoleculesGoogle Scholar
  83. 83.
    Kotaka, T., Tanaka, T., Ohnuma, H., Murakami, Y., Inagaki, H.: Polym. J. 1, 245 (1970)Google Scholar
  84. 84.
    Inagaki, H., Miyamoto, T.: Makromol. Chem. 87, 166 (1965)Google Scholar
  85. 85.
    Tanaka, T., Kotaka, T., Ban, K., Hattori, M., Inagaki, H.: Macromolecules 10, 961 (1977)Google Scholar
  86. 86.
    Cowie, J. M. G.: Chapter 1 in ‘Developments in Block Copolymers — 1’ edited by I. Goodman. Applied Science Publishers, Barking 1982Google Scholar
  87. 87.
    Bushuk, W., Benoit, H.: Con. J. Chem. 36, 1616 (1958)Google Scholar
  88. 88.
    Leng, M., Benoit, H.: J. Polym. Sci. 57, 263 (1962)Google Scholar
  89. 89.
    Benoit, H., Froelich, D.: Chapter 11 in ‘Light Scattering from Polymer Solutions', ed. M. B. Huglin. Academic Press. N.Y. 1972Google Scholar
  90. 90.
    Tuzar, Z., Kratochvil, P., Strakova, D.: Eur. Polym. J. 6, 1113 (1970)Google Scholar
  91. 91.
    Kratochvil, P., Sedlacek, B., Strakova, D., Tuzar, Z.: Makromol. Chem. 148, 271 (1971)Google Scholar
  92. 92.
    Ionescu, L., Picot, C., Duval, M., Duplessix, R., Benoit, H., Cotton, J. P.: J. Polym. Sci. Polym. Phys. Ed. 19, 1019 (1981)Google Scholar
  93. 93.
    Ionescu, L., Picot, C., Duplessix, R., Duval, M., Benoit, H., Cotton, J. P., Lingelser, J. P., Gallot, Y.: J. Polym. Sci. Polym. Phys. Edn. 19, 1035 (1981)Google Scholar
  94. 94.
    Han, C. C., Mozer, B.: Macromolecules 10, 44 (1977)Google Scholar
  95. 95.
    Kratochvil, P.: Chapter 7 in ‘Light Scattering from Polymer Solutions’ ed. M. B. Huglin. Academic Press. N.Y. 1972Google Scholar
  96. 96.
    Edwards, C. J. C., Richards, R. W., Strepto, R. F. T.: Unpublished resultsGoogle Scholar
  97. 97.
    Selb, J., Marie, P., Rameaui, A., Duplessix, R., Gallot, Y.: Polym. Bull. 10, 444 (1983)Google Scholar
  98. 98.
    Folkes, M. J., Keller, A.: in ‘The Physics of Glassy Polymers’ ed. R. N. Haward. Applied Science Publishers. London 1973Google Scholar
  99. 99.
    Hadzioannou, G., Skoulios, A.: Macromolecules 15 (1982)Google Scholar
  100. 100.
    Inoue, T., Moritani, M., Hashimoto, T., Kawai, H.: Macromolecules 4, 500 (1971)Google Scholar
  101. 101.
    Richards, R. W., Thomason, J. L.: Polymer 24, 275 (1983)Google Scholar
  102. 102.
    Mullin, J. T., Richards, R. W.: Work in progressGoogle Scholar
  103. 103.
    Fronk, W., Wilke, W.: Colloid and Polymer Sci. 261, 1010 (1983)Google Scholar
  104. 104.
    Wilke, W.: Acta Cryst. A39, 864 (1983)Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • R. W. Richards
    • 1
  1. 1.Department of Pure and Applied ChemistryUniversity of StrathcyldeGlasgowU.K.

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