Coherent multiple scattering in small-angle scattering experiments: modeling approximations based on the Born expansion

Frielinghaus, H.; Gommes, C.J.

doi:10.1107/S1600576725006685

Journal of Applied Crystallography Journal of Applied
Crystallography

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Figure 3
Second-order term of the Born expansion A₂(q) for a sphere, expressed in units of $[(\Delta\rho)^{2}R^{5}]$ . (a) Forward scattering amplitude A₂(0) as a function of kR. The dots are the exact values (modulus and phase), and the solid lines are equation (29) with

. The q-dependent amplitudes are plotted in (b1) for

and (b2) for

(real and imaginary parts). The dots are the exact values, calculated by evaluating numerically equation (22), and the solid lines are from equation (29).

JOURNAL 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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