Abstract
Neutron scattering is an extremely versatile tool in condensed matter research. In particular it is well suited for the study of fast atomic transport phenomena and has thus found important applications in those fields of physics, chemistry, metallurgy and biology, where such phenomena occur. This chapter will show how the scattering of slow neutrons can be used to learn about the microscopic mechanisms of atomic diffusion in solids. This will be done in three steps. The first step will be an introduction to the theory of neutron scattering; this will be presented in sections (1) and (2). Secondly, we will discuss the way in which physical models of systems to be studied enter into theoretical expressions for the scattered neutron intensity. This will enable us to compare, in section (3), the results of neutron scattering experiments with the theories of atomic diffusion which we wish to apply. The remaining sections of the chapter deal with applications concerned with local diffusion in molecular crystals (section 4), interstitialcy and vacancy diffusion in metals (section 5) and fast ion diffusion in solid electrolytes (section 6).
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References
“Thermal Neutron Scattering”, ed. P. A. Egelstaff, Academic Press, London - New York (1965).
V. F. Turchin, “Slow Neutrons”, Jerusalem: Israel Program for Sci. Translations (1965).
I. I. Gurevich and L. V. Tarasov, “Low-Energy Neutron Physics”, North-Holland Publ. Co., Amsterdam (1968).
G. E. Bacon, “Neutron Diffraction”, 3rd edition, Clarendon Press, Oxford (1975).
W. Marshall and S. W. Lovesey, “Theory of Thermal Neutron Scattering”, Clarendon Press, Oxford (1971).
G. L. Squires, “Introduction to the Theory of Thermal Neutron Scattering”, Cambridge University Press, Cambridge (1978).
L. Koester, in “Neutron Physics”, Springer-Verlag, Berlin (1977), p. 1 - 55.
L. Van Hove, Phys. Rev. 95, 249 (1954).
T. Springer, “Quasielastic Neutron Scattering for the Investigation of Diffusive Motions in Solids and Liquids”, Springer Tracts in Modern Physics, Vol.64, Springer-Verlag, Berlin(1972).
Lecture Notes in Physics, No. 128, “Neutron Spin Echo”, ed. F. Mezei, Springer-Verlag, New York (1980).
G. H. Vineyard, Phys. Rev. 110, 999 (1958).
V. F. Sears, Can. J. Physics 45, 237 (1967).
C. T. Chudley and R. J. Elliot, Proc. Phys. Soc. (London) 77, 353 (1961).
W. Petry, G. Vogl and W. Mansel, Phys. Rev. Lett. 45, 1862 (1980).
K. S. Singwi, in Proc. Inelast. Scattering of Neutrons in Solids and Liquids, Vol. I, p. 3, IAEA, Vienna (1963).
J. Bleif, PhD thesis, Universität Berlin (1977).
J. G. Smit, H. Dachs and R. E. Lechner, Solid State Comm. 29, 219 (1979).
A. J. Leadbetter and R. E. Lechner in “The Plastically Crystalline State”, ed. J.N.Sherwood, John Wiley & Sons, New York (1979), p. 285 - 320.
H. Hervet, A. J. Dianoux, R. E. Lechner and F. Volino, J. Physique 37, 587 (1976).
J. Töpler, D. R. Richter and T. Springer, J. Chem. Phys. 69, 3170 (1978).
R. E. Lechner, G. Badurek, A. J. Dianoux, H. Hervet and F. Volino, J. Chem. Phys. 73, 934 (1980).
R. E. Lechner and A. Heidemann, Comm. on Physics 1, 213 (1976)
M. Bée, J. P. Amoureux and R. E. Lechner, Mol. Physics 40, 617 (1980).
R. E. Lechner in Proc. Conf. Neutron Scattering, Gatlinburg, June 1976, Natl. Techn. Info. Service, U. S. Dept. Commerce, Springfield, Va. 22161 (1976), Vol. 1, p. 310.
R. E. Lechner, J. P. Amoureux, M. Bée and R. Fouret, Comm. on Physics 2, 207 (1977).
J. P. Amoureux, M. Bée, R. Fouret and R. E. Lechner in “Neutron Inelastic Scattering 1977”, IAEA Vienna (1978), Vol. I, p. 397.
M. Bée, J. P. Amoureux and R. E. Lechner, Molecular Physics 39, 945 (1980).
T. Springer in Topics in Current Physics, Vol. 3: “Dynamics of Solids and Liquids by Neutron Scattering”, eds. S. W. Lovesey and T. Springer, Springer-Verlag, Berlin (1977), p. 255 - 300.
K. Sköld in Topics of Applied Physics, Vol. 28: “Hydrogen in Metals I”. G. Alefeld and J. Völkl, Springer-Verlag, Berlin (1978), p. 267 - 287.
K. Sköld and G. Nelin, J. Phys. Chem. Sol. 28, 2369 (1967).
J. M. Rowe, J. J. Rush, L. A. de Graaf, G. A. Fergusson, Phys. Rev. Lett. 29, 1250 (1972).
J. M. Rowe, K. Sköld and H. E. Flotow, J. Phys. Chem. Solids 32, 41 (1971).
R. Kutner and I. Sosnowska, J. Phys. Chem. Solids 38, 741 (1977).
N. Stump, W. Gissler, R. Rubin, Phys. Stat. Sol. (b) 54, 295 (1972); and in: Proc. Int. Conf. Hydrogen in Metals, KFA Jülich Jül-Conf-6 (Vol. I), p. 375 (1972).
J. M. Rowe, J. J. Rush, H. E. Flotow, Phys. Rev. B9, 5039 (1974).
V. Lottner, A. Heim and T. Springer, Z. Physik B32, 157 (1979).
V. Lottner, J. W. Haus, A. Heim and K. W. Kehr, J. Phys. Chem. Solids 40, 557 (1979).
V. Lottner, U. Buchenau and W. J. Fitzgerald, Z. Physik B35, 35 (1979).
K. S. Singwi and A. Sjölander, Phys. Rev. 119, 863 (1960).
D. Richter, K. W. Kehr and T. Springer, Proc. Conf. Neutron Scattering, Gatlinburg, Tennessee (1976), p 568.
K. W. Kehr and D. Richter, Solid State Comm. 20, 477 (1976).
D. Richter, J. Töpler and T. Springer, J. Phys. F6, L93 (1976).
D. Richter, T. Springer and K. W. Kehr, presented at the Second Internat. Congress on Hydrogen in Metals, Paris, June 6 - 11 (1977).
D. Wolf, Sol. State Comm. 23, 853 (1977).
G. Göltz, A. Heidemann, H. Mehrer, A. Seeger and D. Wolf, Phil. Mag. A41, No. 5, 723 (1980).
D. Wolf, Phys. Rev. B15, 37 (1977).
see for instance “Physics of Superionic Conductors”, ed. M. B. Salamon, Topics in Current Physics, Vol. 15, Springer-Verlag, New York (1979).
L. Glass and S. A. Rice, Phys. Rev. 176, 239 (1968).
L. Glass and S. A. Rice, Phys. Rev. 165, 186 (1968).
P. G. De Gennes, Physica 25, 825 (1959).
K. Sköld, Phys. Rev. Letters 19, 1023 (1967).
G. Eckold, K. Funke, J. Kalus and R. E. Lechner, J. Phys. Chem. Solids 37, 1097 (1976).
R. E. Lechner, G. Eckold and K. Funke, in “Microscopic Structure and Dynamics of Liquids”, eds. J. Dupuy and A. J. Dianoux, Plenum Publ. Corp. (1978) p. 459.
P. Aldebert, A. J. Dianoux and J. P. Traverse, J. Physique 40, 1005 (1979).
K. Funke, Progr. Solid State Chemistry Vol. 11, 345 - 402 (1976).
R. J. Cava, F. Reidinger and B. J. Wuensch, Solid State Comm,. 24, 411 (1977).
A. F. Wright and B. E. F. Fender, J. Phys. C 10, 2261 (1977).
W. Dieterich, I. Peschel and W. R. Schneider, Z. Physik B27, 177 (1977).
W. Dieterich, T. Geisel and I. Peschel, Z. Physik B29, 5 (1978).
W. Dieterich and I. Peschel, Physica 95A, 208 (1979)
R. Zeyher, Z. Physik B31, 127 (1978).
R. Zeyher, in “Fast Ion Transport in Solids”, eds. Vashishta, Mundy and Shenoy, Elsevier North Holland, Inc. (1979), p. 509.
for a discussion of Zeyher’s theory see also: W. Dieterich, P. Fulde and I. Peschel, Adv. in Physics 29, 527-605 (1980), chapter 6.
A. R. Bishop, J. Phys. C: Solid State Phys. 11, L329 (1978).
P. Vashishta and A. Rahman, Phys. Rev. Letters 40, 1337 (1978).
G. Jacucci and A. Rahman, J. Chem. Phys. 69, (1978).
M. J. Gillan and M. Dixon, J. Phys. C: Solid State Phys. 13, L835 (1980).
M. J. Gillan and M. Dixon, J. Phys. C: Solid State Phys. 13, 1901 (1980).
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Lechner, R.E. (1983). Neutron Scattering Studies of Diffusion in Solids. In: Bénière, F., Catlow, C.R.A. (eds) Mass Transport in Solids. NATO Advanced Science Institutes Series, vol 97. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2257-1_8
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