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.
|Язык оригинала||не определен|
|Журнал||Physical Review B - Condensed Matter and Materials Physics|
|Состояние||Опубликовано - 2010|
Grigoriev, S. V., Syromyatnikov, A. V., Chumakov, A. P., Grigoryeva, N. A., Napolskii, K. S., Roslyakov, I. V., Eliseev, A. A., Petukhov, A. V., & Eckerlebe, H. (2010). Nanostructures: Scattering beyond the Born approximation. Physical Review B - Condensed Matter and Materials Physics, 81(12), 125405_1-7. https://doi.org/DOI: 10.1103/PhysRevB.81.125405