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Figure 1
Exact scattering cross sections of a sphere calculated from equation (7) normalized to contrast and volume with (a) [|\Delta\rho| = 4\times 10^{-4}], R = 100 ([\kappa_{0} = 0.04]); (b) [|\Delta\rho| = 10^{-4}], R = 5000 ([\kappa_{0} = 0.5]); (c) [|\Delta\rho| = 10^{-2}], R = 100 ([\kappa_{0} = 1]) and (d) [|\Delta\rho| = 4\times 10^{-4}], R = 5000 ([\kappa_{0} = 2]). In all cases k = 1. The red symbols are for [\Delta\rho\,\gt\,0] and the blue symbols for [\Delta\rho\,\lt\,0]. The solid black line is the form factor from equation (1), and the vertical black line is an estimation for the transition to bulk scattering which we discuss at a later stage ([q_{\rm c}R = 8\pi|\kappa_{0}|]). This transition is also supported by the work of Berk & Hardman-Rhyne (1986View full citation).

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 58| Part 5| October 2025| Pages 1553-1570
https://doi.org/10.1107/S1600576725006685
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