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Neutron Scattering in Metals

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Book cover Dynamic Spin-Fluctuation Theory of Metallic Magnetism

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Abstract

Neutron scattering is one of the main methods to study magnetic properties of metals and alloys. Firstly, neutron is an uncharged particle with spin and, secondly, slow neutrons have energies ( < 1 eV) of the same order as most of magnetic excitations. So, inelastic neutron scattering allows to analyse fluctuations of the spin-density.

On the pragmatic view the only thing that matters is that the theory is efficacious, that it “works” and that the necessary preliminaries and side issues do not cost too much in time and effort. (B.N. Brockhouse, Nobel Lecture, 1994)

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Notes

  1. 1.

    In the book [20] the calculation formula for W(κ) is obtained from the Lindemann melting formula. This result can be used to estimate the DWF using the melting temperature instead of the Debye temperature. However, the Lindemann formula can only give a qualitative estimate (see [21]).

  2. 2.

    Strictly speaking, calculating the DWF for Co is applicable only up to the melting temperature T∕T C exp ≈ 1. 27.

  3. 3.

    Indeed, substituting the atomic mass M = 55. 85 a.m.u. and Debye temperature Θ D = 464 K of Fe, and q B = 1. 71 Å−1 into formula (14.43), at κ = q B and T = T C exp, we obtain 2W ≈ 0. 037 and e−2W ≈ 0. 96.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    Nikolai B. Melnikov

  2. Institute of Metal Physics, Russian Academy of Sciences, Ekaterinburg, Russia

    Boris I. Reser

Authors
  1. Nikolai B. Melnikov
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  2. Boris I. Reser
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Melnikov, N.B., Reser, B.I. (2018). Neutron Scattering in Metals. In: Dynamic Spin-Fluctuation Theory of Metallic Magnetism. Springer, Cham. https://doi.org/10.1007/978-3-319-92974-3_14

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