Asymptotic behavior of neutron small-angle multiple scattering spectra

Abov, Yu. G.; Denisov, D.; Elyutin, N. O.; Matveev, S. K.; Smirnov, Yu. I.; Eidlin, A. O.; Dzheparov, F. S.; Lvov, D. V.

doi:10.1134/1.558612

Cited by 11 publications

(3 citation statements)

References 5 publications

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“…The value of R d at the room temperature equals 8ϫ10 4 Å which coincides with the domain size in the invar alloys given by the multiple SANS. 21 From Eq. ͑18͒ the correlation length of the disorder is estimated through the size of the magnetic inhomogeneities at the critical range R 0 ϳR d (0) 1 ⌬ Ϸ10 4 Å.…”

Section: ͑17͒mentioning

confidence: 99%

Magnetic phase transition in disordered Fe-Ni alloys studied by means of small-angle neutron scattering and three-dimensional analysis of the neutron depolarization

et al. 2001

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The magnetic phase transition in iron-nickel fcc alloys Fe 70 Ni 30 doped by carbon ͑0.7% at.͒ is investigated using the three-dimensional analysis of the neutron depolarization ͑ND͒ and small-angle neutron scattering ͑SANS͒. The coexistence and the growth of two different scale magnetic correlations are observed in a paramagnetic phase as temperature closes to T C . The usual critical fluctuations of a Lorentzian shape with size R c Ͻ200 Å are found by the analysis of SANS intensity I(q). The ND analysis shows also presence of the large scale correlations ͑about 10 3 Ϫ10 4 Å) with the ''squared'' Lorentzian shape. We attribute these large scale correlations to local variations of the Curie temperature T C . The local T C variations are described by the disorder parameters of the system: ͗T C ͘, a spread of T C variations ⌬T C , and characteristic size of the local areas R 0 , where T C variations occur. The ratio between the depth of the T C variations (⌬T C /͗T C ͘) and its characteristic correlation length R 0 /a (a is a lattice constant͒ determines a scenario of the transition: ''percolative'' or ''homogeneous'' ones. At R 0 /aӷ(⌬T C /͗T C ͘) Ϫ2/3 locally ordered ferromagnetic regions appear in paramagnetic phase and form a large percolative cluster. In this case the connectivity length of the ordered regions dominates at the correlation length of thermal fluctuations. Therefore this transition goes in accordance with the ''percolative'' scenario. All three parameters of the transition are obtained from the data of the three dimension analysis of the ND. From the temperature dependence of the magnetization, we found ͗T C ͘ϭ397 Ϯ0.5 K and ⌬T C ϭ4.55Ϯ0.05 K. From ND data we estimated the temperature independent characteristic size R 0 of the T C variations. It is equal to 10 4 Å.

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Section: ͑17͒mentioning

confidence: 99%

Magnetic phase transition in disordered Fe-Ni alloys studied by means of small-angle neutron scattering and three-dimensional analysis of the neutron depolarization

et al. 2001

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“…[83][84][85] To address the challenges associated with multiple scattering and the presence of coarse microstructures, the technique of multiple SANS (MSANS) has been developed to recover the structural information from SANS studies using long-wavelength (cold) neutrons. 65,66,[78][79][80][86][87][88][89] Furthermore, ultrasmallangle X-ray and neutron scattering (USAXS and USANS) methods, which employ the so-called Bonse-Hart geometry, can extend the maximum feature size into the micrometer scale regime for USAXS, and to 410 mm for USANS. 40,90 Other advances include the development of high-energy SAXS (HE-SAXS) at the 3rd generation X-ray synchrotrons, which allows SAXS microstructure and diffraction phase composition data to be obtained for thicker X-ray samples during the same experiment.…”

Section: Introductionmentioning

confidence: 99%

“…To address the challenges associated with multiple scattering and the presence of coarse microstructures, the technique of multiple SANS (MSANS) has been developed to recover the structural information from SANS studies using long‐wavelength (cold) neutrons 65,66,78–80,86–89 . Furthermore, ultrasmall‐angle X‐ray and neutron scattering (USAXS and USANS) methods, which employ the so‐called Bonse–Hart geometry, can extend the maximum feature size into the micrometer scale regime for USAXS, and to >10 μm for USANS 40,90 .…”

Section: Introductionmentioning

confidence: 99%

Characterization of Ceramics by X‐Ray and Neutron Small‐Angle Scattering

Allen

2005

Journal of the American Ceramic Society

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This paper reviews some recent advances in small‐angle X‐ray and neutron scattering methods and their application to address complex issues in ceramic systems of technological importance. It is shown how small‐angle scattering (SAS) can be applied to ceramic systems in order to extract statistically representative microstructure information (e.g., void volume fraction size distributions, internal surface areas, pore morphologies) that complements the information obtained from diffraction methods, X‐ray microtomography, or electron microscopy. It is demonstrated how SAS studies provide insights, not obtainable by other means, on the processing–microstructure–property relationships that frequently govern technological performance.

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