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Figure 2
Illustration of the neutron data analysis procedure according to equation (15)[link]. The total [{\rm d}\Sigma/{\rm d}\Omega] (solid circles) of the the iron-based alloy Nanoperm is plotted at [q^{\star}] = 0.114 nm−1 versus the response functions [R_{{\rm H}}] and [R_{{\rm M}}] for A = 4.7 pJ m−1 and experimental field values (in mT) of 1270, 312, 103, 61, 42, 33. The plane represents a fit to equation (15)[link]. The intercept of the plane with the [{\rm d}\Sigma/{\rm d}\Omega] axis provides the residual SANS cross section [{\rm d}\Sigma_{{\rm res}}/{\rm d}\Omega], while [S_{{\rm H}}] and [S_{{\rm M}}] are obtained from the slopes of the plane (slopes of the thick black and red lines). In other words, at each experimental [q^{\star}], for given materials parameters A and M0, and for the experimental field values [H_{{\rm i}}], the total experimental SANS signals at [H_{{\rm i}}] are fitted to a function that is of the mathematical form f(x,y) = a  + bx+cy, where [a = {\rm d}\Sigma_{{\rm res}}/{\rm d}\Omega], [b = S_{{\rm H}}] and [c = S_{{\rm M}}] are the fit parameters at [q = q^{\star}] and [x = R_{{\rm H}}(q^{\star},H_{{\rm i}})] and [y = R_{{\rm M}}(q^{\star},H_{{\rm i}})] are the independent variables. The procedure is carried out for [q = q^{\star}] values between qmin and qmax, and then repeated for many different physically plausible A values to determine the best-fit value, [A_{{\rm bf}}], via equation (25)[link]. Image taken from Michels (2021BB14), reproduced by permission of Oxford University Press.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 55| Part 4| August 2022| Pages 1055-1062
https://doi.org/10.1107/S1600576722005349
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