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Neutron scattering from a substitutional mass defect

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Zeitschrift für Physik B Condensed Matter

Abstract

The dynamic structure factor is calculated for a low concentration of light mass scatterers substituted in a cubic crystal matrix. A new numerical method for the exact calculation is demonstrated. We derive a local density of states for the low momentum transfer limit, and derive the shifts and widths of the oscillator peaks in the high momentum transfer limit. We discuss the limitations of an approximation which decouples the defect from the lattice.

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References

  1. Rubin, R.J.: J. Math. Phys.1, 309 (1960); ibid.2, 373 (1961)

    Google Scholar 

  2. Lovesey, S.W.: Theory of neutron scattering from condensed matter. Vol. 1, Oxford: Oxford University Press 1984

    Google Scholar 

  3. Maradudin, A.A., Montroll, E.W., Weiss, G.H., Ipatova, I.P.: Theory of lattice dynamics in the harmonic approximation. New York: Academic Press 1971

    Google Scholar 

  4. Elliott, R.J., Krumhansl, J.A., Leath, P.L.: Rev. Mod. Phys.46, 465 (1974)

    Google Scholar 

  5. Taylor, D.W.: Dynamical properties of solids. Maradudin, A.A., Horton, G.K. (eds.), Vol. 2. Amsterdam, Oxford, New York: North-Holland 1975

    Google Scholar 

  6. Abramowitz, M., Stegan, I.E.: Handbook of mathematical functions. US Bureau of Standards (1964), Formula (9.6.33)

  7. Warner, M., Lovesey, S.W., Smith, J.: Z. Phys. B — Condensed Matter51, 109 (1983)

    Google Scholar 

  8. Sjölander, A.: Ark. Fys.14, 315 (1958)

    Google Scholar 

  9. Gunn, J.M.F., Warner, M.: Z. Phys. B — Condensed Matter56, 13 (1984)

    Google Scholar 

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Williams, R.D., Lovesey, S.W. Neutron scattering from a substitutional mass defect. Z. Physik B - Condensed Matter 62, 413–421 (1986). https://doi.org/10.1007/BF01303572

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  • DOI: https://doi.org/10.1007/BF01303572

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