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Multiple small-angle neutron scattering in media with a high concentration of inhomogeneities

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Abstract

Multiple small-angle neutron scattering (MSANS) on a polydisperse system of scatterers was considered taking into account interparticle interference. The effect of the scatterer’s size distribution on the MSANS spectrum was studied. The exponential and log-normal distributions were analyzed. It was shown that the MSANS linewidth decreases at high scatterer concentrations due to the contribution of interparticle interference. The dependence of this effect on the scattering multiplicity and scatterer’s size dispersion was studied in detail.

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References

  1. D. I. Svergun and L. A. Feigin, X-Ray and Neutron Small-Angle Scattering (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  2. O. Glatter, J. Appl. Crystallogr. 13, 7 (1980).

    Article  CAS  Google Scholar 

  3. D. I. Svergun, A. V. Semenyuk, and L. A. Feigin, Acta Crystallogr., Sect. A 44, 244 (1988).

    Article  Google Scholar 

  4. S. G. Bogdanov and A. Z. Menshikov, Physica B 276–278, 79 (2000).

    Article  Google Scholar 

  5. Yu. G. Abov, Yu. I. Smirnov, D. S. Denisov, et al., Fiz. Tverd. Tela 34, 1408 (1992) [Sov. Phys. Solid State 34, 748 (1992)].

    CAS  Google Scholar 

  6. A. J. Allen, J. Ilavsky, and J. J. Long, Acta Mater. 49, 1661 (2001).

    Article  CAS  Google Scholar 

  7. H. A. Bethe, Phys. Rev. 89, 1256 (1953).

    Article  MATH  ADS  CAS  MathSciNet  Google Scholar 

  8. F. S. Dzheparov and D. V. L’vov, Pis’ma Zh. Eksp. Teor. Fiz. 72, 518 (2000) [JETP Lett. 72, 360 (2000)].

    Google Scholar 

  9. Yu. G. Abov, F. S. Dzheparov, N. O. Elyutin, et al., Pis’ma Zh. Eksp. Teor. Fiz. 78, 1011 (2003) [JETP Lett. 78, 523 (2003)].

    Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1989, 4th ed.; Pergamon Press, Oxford, 1977, 3rd ed.).

    MATH  Google Scholar 

  11. Z. G. Pinsker, X-Ray Crystal Optics (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  12. V. F. Sears, Can. J. Phys. 56, 1261 (1978).

    ADS  CAS  Google Scholar 

Download references

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Original Russian Text © F.S. Dzheparov, K.S. Zabelin, D.V. Lvov, 2009, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, No. 9, pp. 9–17.

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Dzheparov, F.S., Zabelin, K.S. & Lvov, D.V. Multiple small-angle neutron scattering in media with a high concentration of inhomogeneities. J. Surf. Investig. 3, 665–672 (2009). https://doi.org/10.1134/S1027451009050024

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  • DOI: https://doi.org/10.1134/S1027451009050024

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