2012
DOI: 10.1007/s11661-012-1435-7
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Quantitative Characterization of Precipitate Microstructures in Metallic Alloys Using Small-Angle Scattering

Abstract: Quantitatively characterizing precipitate microstructures in metals by small-angle scattering poses specific challenges as compared to other areas of application of this technique. In terms of size and morphology evaluation, these include the presence of a significant size distribution, non-isotropic shapes, and interpretation complicated by a partial averaging due to a nonrandom texture. In terms of volume fraction evaluation, these include the imperfect knowledge of the chemical composition of very small obj… Show more

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Cited by 58 publications
(34 citation statements)
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“…In addition, it has to be mentioned that the relative uncertainties of the volume fraction calculations cannot be expected to be better than ±10%. This is due to the uncertainties related to the absolute intensity calibration, the extrapolations of the data to 0 and infinity, and the assumptions of the chemical composition of the precipitates [26].…”
Section: Small-angle Scatteringmentioning
confidence: 99%
“…In addition, it has to be mentioned that the relative uncertainties of the volume fraction calculations cannot be expected to be better than ±10%. This is due to the uncertainties related to the absolute intensity calibration, the extrapolations of the data to 0 and infinity, and the assumptions of the chemical composition of the precipitates [26].…”
Section: Small-angle Scatteringmentioning
confidence: 99%
“…Determination of Q necessitates integration between q=0 and q=∞ which is an extremely difficult procedure as described in detail in reference [34]. In the present study, the approach used was to fit the Iq 2 vs q data with a lognormal distribution and extrapolate the fit to 0 and ∞.…”
Section: Quantification Of Precipitate Developmentmentioning
confidence: 99%
“…15 Structural information, such as Guinier radius (R g ) and scattering invariant (Q), were extracted from the scattering data by using a modelindependent analysis as performed by Deschamps and de Geuser. 16,17 The average particle size was estimated using a self-consistent Guinier approximation. 16 The uncertainty of the Guinier radius was calculated from the error associated with the slope of the linear Guinier fit.…”
mentioning
confidence: 99%
“…The volume fractions of the two phases were obtained from the scattering invariant, which corresponds to the integral of the Kratky plot from 0 to infinity. 17 The minimum between the two scattering contributions in the Kratky plot (Figure 1) was used to separate the invariants of both phases. The contribution at high q-values was extrapolated from a q-value of 0.07 Å À1 to 0, instead of 0.007 Å À1 for the whole scattering spectra.…”
mentioning
confidence: 99%
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