Nanostructures: Scattering beyond the Born approximation

S.V. Grigoriev, A.V. Syromyatnikov, A.P. Chumakov, N.A. Grigoryeva, K.S. Napolskii, I.V. Roslyakov, A.A. Eliseev, A.V. Petukhov, H. Eckerlebe

Research output

20 Citations (Scopus)


The neutron scattering on a two-dimensional ordered nanostructure with the third nonperiodic dimension can go beyond the Born approximation. In our model supported by the exact theoretical solution a well-correlated hexagonal porous structure of anodic aluminum oxide films acts as a peculiar two-dimensional grating for the coherent neutron wave. The thickness of the film L length of pores plays important role in the transition from the weak to the strong scattering regimes. It is shown that the coherency of the standard small-angle neutron scattering setups suits to the geometry of the studied objects and often affects the intensity of scattering. The proposed theoretical solution can be applied in the small-angle neutron diffraction experiments with flux lines in superconductors, periodic arrays of magnetic or superconducting nanowires, as well as in small-angle diffraction experiments on synchrotron radiation.
Original languageUndefined
Pages (from-to)125405_1-7
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
Publication statusPublished - 2010

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