Abstract
Neutron scattering spectroscopy1–4 differs from scattering of electromagnetic radiation (light or x-rays) in two major ways. The relatively larger neutron mass, which associates a sizeable momentum transfer with a scattering event, totally changes the relationship between energy and wave vector. This property, which means, for example, that neutrons have very much smaller energies than x-rays of the corresponding wavelength, allows exploration of a unique region of the spatial and time domains. It is, however, doubtful whether this property would have led, alone, to the widespread use by polymer scientists of neutron spectrometers, confined as these are to a few reactor centers scattered worldwide, if it were not for the second property—the neutron-nuclear interaction. Since the neutron is uncharged it interacts with the nucleus via nuclear forces. It carries a magnetic moment which can also interact with the nucleus and with the unpaired electrons in a molecule. This magnetic scattering is relatively weak and does not concern us when dealing with polymer solutions. The nuclear interaction is strong, but very short range, and thermal neutrons have wavelengths very much larger than nuclear dimensions. For an isolated stationary nucleus, scattering is, therefore, spherically symmetrical and energy independent and can be characterized by a single parameter, the scattering length b. Values of b vary randomly from nucleus to nucleus, from isotope to isotope, and even with the spin state of the scattering nucleus. In particular, the values for 1H and 2D are of opposite signs.
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References
B. T. M. Willis (ed.), Chemical Applications of Thermal Neutron Scattering, Oxford University Press, London (1973).
G. Kostorz (ed.), Treatise on Materials Science and Technology, Vol. 15, Neutron Scattering, Academic Press, New York (1979).
J. S. Higgins, in Treatise on Materials Science and Technology(G. Kostorz, ed.), Vol. 15, pp. 381–422, Academic Press, New York (1979).
J. S. Higgins and R. S. Stein, J. Appl. Crystallogr. 11, 346–375 (1978).
A. Maconnachie and R. W. Richards, Polymer 19, 739–762 (1978).
B. Jacrot, Rep. Prog. Phys. 39, 911–953 (1976).
H. Stuhrmann and A. Miller, J. Appl. Crystallogr. 11, 325–345 (1978).
G. G. Kneale, J. P. Baldwin, and E. M. Bradbury, Q. Rev. Biophys. 10, 485–527, (1977).
W. Schmatz, T. Springer, J. Schelten, and K. Ibel, J. Appl. Crystallogr. 17, 96–116 (1974).
M. Birr, A. Heidemann, and B. Alefeld, Nucl. Instrum. Methods 95, 435–439 (1971).
F. Mezei, Z. Phys. 255, 146–160 (1972).
J. B. Hayter, in Neutron Diffraction(H. Dachs, ed.), Springer-Verlag, Berlin (1978).
P. Dagleish, J. B. Hayter, and F. Mezei, in Neutron Spin-Echo, (F. Mezei, ed.), Physics 128, Springer-Verlag, Berlin (1980).
J. B. Hayter in Neutron Spin-Echo(F. Mezei, ed.), Physics 128, Springer-Verlag, Berlin (1980).
J. S. Higgins, G. Allen, R. E. Ghosh, W. S. Howells, and B. Farnoux, Chem. Phys. Lett. 49, 197–202 (1977).
G. C. Summerfield, in Spectroscopy in Biology and Chemistry, Neutron, X-ray and Laser(S. H. Chen and S. Yip, eds.), Chap. 10, Academic Press, New York (1974).
H. Benoit, J. Koberstein, and L. Leibler, Makromol. Chem. Suppl. 4, 85 (1981).
B. H. Zimm, J. Chem. Phys. 16, 1093–1099 (1948).
P. Debye, J. Phys. Colloid Chem. 51, 18–32 (1947).
A. Guinier and G. Fournet, Small Angle Scattering of X-Rays, Wiley, New York (1955).
D. G. H. Ballard, M. G. Rayner, and J. Schelten, Polymer 17, 349–351 (1976).
S. Heine, O. Kratky, and G. Porod, Makromol. Chem. 44, 682–726 (1961).
J. S. Higgins, K. Dodgson, and J. A. Semlyen, Polymer 20, 553–558 (1979).
P. Kratochvil, in Light Scattering from Polymer Solutions(M. B. Huglin, ed.), Academic Press, New York (1972).
A. K. Gupta, J. P. Cotton, E. Marchal, W. Burchard, and H. Benoit, Polymer 17, 363–366 (1976).
S. F. Edwards, Proc. Phys. Soc. London 88, 265–280 (1966).
P. J. Flory, Principles of Polymer Chemistry, Cornell University Press, Ithaca, New York (1953).
P. G. de Gennes, Phys. Lett. A 38, 339–340 (1972).
J. des Cloiseaux, J. Phys. (Orsay, France) 36, 281–291 (1975).
P. G. de Gennes, J. Phys. Lett. (Orsay, France) 46, L55–L57 (1975).
M. Daoud and G. Jannink, J. Phys. (Orsay, France) 37, 973–979 (1976).
M. Daoud, J. Polym. Sci. Polym. Symp. 61, 305–311 (1977).
S. F. Edwards, J. Phys. A. 8, 1670–1680 (1975).
S. F. Edwards and E. F. Jeffers, J. Chem. Soc, Faraday Trans. 2 75, 1020–1029 (1979).
C. Strazielle and H. Benoit, Macromolecules 8, 203–205 (1975).
J. P. Cotton, M. Nierlich, F. Boue, M. Daoud, B. Farnoux, G. Jannink, R. Duplessix, and C. Picot, J. Chem. Phys. 65, 1101–1108 (1976).
R. W. Richards, A. Maconnachie, and G. Allen, Polymer 22, 147–152 (1981).
R. W. Richards, A. Maconnachie, and G. Allen, Polymer 22, 153–157 (1981).
R. W. Richards, A. Maconnachie, and G. Allen, Polymer 22, 158–162 (1981).
B. Farnoux, M. Daoud, D. Decker, G. Jannink, and R. Ober, J. Phys. Lett. (Orsay, France) 36, L35–L39 (1975).
B. Farnoux, F. Boue, J. P. Cotton, M. Daoud, G. Jannink, M. Nierlich, and P. G. de Gennes, J. Phys. (Orsay, France) 39, 77–86 (1978).
M. Daoud, J. P. Cotton, B. Farnoux, G. Jannink, G. Sarma, H. Benoit, R. Duplessix, C. Picot, and P. G. de Gennes, Macromolecules 8, 804–818 (1975).
R. W. Richards, A. Maconnachie and G. Allen, Polymer 19, 266–270 (1978).
D. W. Schaefer, J. F. Joanny, and P. Pincus, Macromolecules 13, 1280–1289 (1980).
C. C. Han and B. Mozer, Macromolecules 10, 44–51 (1977).
M. Leng and H. Benoit, J. Polym. Sci. 57, 263–273 (1962).
M. Duval, R. Duplessix, C. Picot, D. Decker, P. Rempp, H. Benoit, J. P. Cotton, R. Ober, G. Jannink, and B. Farnoux, J. Polym. Sci. Part B 14, 588–589 (1976).
L. M. Ionescu, Ph. D. thesis, University of Strasbourg (1976).
I. N. Serdyuk and B. A. Dedorov,. Polym. Sci. Polym. Lett. Ed. 11, 645–649 (1973).
P. G. de Gennes, J. Phys. (Orsay, France) 31, 235–238 (1970).
R. Duplessix, J. P. Cotton, H. Benoit, and C. Picot, Polymer 20, 1181–1182 (1979).
C. Tanford, Physical Chemistry of Macromolecules, Wiley, New York (1961).
M. Moan and C. Wolff, Polymer 16, 776–780 (1975).
M. Moan and C. Wolff, Polymer 16, 781–784 (1975).
J. P. Cotton and M. Moan, J. Phys. Lett. (Orsay, France) 37, L75–L77 (1976).
M. Rinaudo and A. Domard, J. Polym. Sci. Polym. Lett. Ed. 15, 411–415 (1977).
M. Nierlich, C. E. Williams, F. Boué, J. P. Cotton, M. Daoud, B. Farnoux, G. Jannink, C. Picot, M. Moan, C. Wolff, M. Rinaudo, and P. G. de Gennes, J. Phys.( Orsay, France) 40, 701–704 (1979).
S. Lifson and A. Katchalsky, J. Polym. Sci. 13, 43–55 (1954).
P. G. de Gennes, P. Pincus, R. M. Velasco, and F. Brochard, J. Phys.( Orsay, France) 37, 1461–1473 (1976).
C. E. Williams, N. Nierlich, J. P. Cotton, G. Jannink, F. Boue, M. Daoud, B. Farnoux, C. Picot, P. G. de Gennes, M. Rinaudo, M. Moan, and C. Wolff, J. Polym. Sci., Polym. Lett. Ed. 17, 379–384 (1979).
A. Z. Akcasu, G. C. Summerfield, S. N. Jahshan, C. C. Han, C. Y. Kim, and H. Yu, J. Polym. Sci. Polym. Phys. Ed. 18, 863–869 (1980).
J. Hayter, G. Jannink, F. Brochard-Wyart, and P. G. de Gennes, J. Phys. Lett.( Orsay, France) 41, L451–L454 (1980).
P. G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Ithaca, New York (1979).
R. Pecora, J. Chem. Phys. 49, 1032–1035 (1968).
P. G. de Gennes, Physics 3, 37–45 (1967).
E. du Bois Violette and P. G. de Gennes, Physics (N. Y.) 3, 181–198 (1967).
J. S. Higgins, R. E. Ghosh, W. S. Howells, and G. Allen, J. Chem. Soc. Faraday Trans.2 73, 40–47 (1977).
A. Z. Akcasu, M. Benmouna, and C. C. Han, Polymer 21, 866–890 (1980).
M. Benmouna and A. Z. Akcasu, Macromolecules 13, 409–414 (1980).
M. Benmouna and A. Z. Akcasu, Macromolecules 11, 1187–1192 (1978).
A. Z. Akcasu and M. Benmouna, Macromolecules 11, 1193–1198 (1978).
P. G. de Gennes, Macromolecules 9, 594–598 (1976).
G. Allen, R. Ghosh, J. S. Higgins, J. P. Cotton, B. Farnoux, G. Jannink, and G. Weill, Chem. Phys. Lett. 38, 577–581 (1976).
A.Z. Akcasu and J. S. Higgins, J. Polym. Sci. Polym. Phys. Ed. 15, 1745–1756 (1977).
L. K. Nicholson, J. S. Higgins, and J. B. Hayter, Macromolecules 14, 836–843 (1981).
D. Richter, J. B. Hayter, F. Mezei, and B. Ewen, Phys. Rev. Lett. 41, 1484–1487 (1978).
K. Osaki and J. L. Schragg, Polym. J. 2, 541–549 (1971).
G. Allegra and F. Ganazzoli,. Chem. Phys. 74, 1310–1320 (1981).
J. S. Higgins, L. K. Nicholson, and J. B. Hayter, Polym. Prepr. Am. Chem. Soc. Div. Polym. Chem. 22, 86–88 (1981).
J. S. Higgins, K. Dodgson, and J. A. Semlyen, Polymer 20, 553–558 (1979).
A. Z. Akcasu and C. C. Han, Macromolecules 12, 276–280 (1979).
B. Ewen, D. Richter, and B. Lehnen, Macromolecules 13, 876–880 (1980).
D. Richter, B. Ewen, and J. B. Hayter, Phys. Rev. Lett. 45, 2121–2125 (1980).
C. Reiss and H. Benoit, C. R. Hebd. Seances Acad. Sci. Ser. C. 253, 268–270 (1961).
J. H. Dunbar, A. M. North, R. A. Pethrick, and P. B. Teik, Polymer 21, 764–768 (1980).
J. B. Hayter and J. Penfold, J. Chem. Soc. Faraday Trans. 1 77, 1851 (1981).
R. Duplessix, International Union of Pure and Applied Chemistry, Macromolecular Symposium, Mainz (1979), abstracts, p. 870.
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Higgins, J.S., Maconnachie, A. (1986). Neutron Scattering from Macromolecules in Solution. In: Forsman, W.C. (eds) Polymers in Solution. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0465-2_4
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