X-ray reflectivity from curved surfaces as illustrated by a graphene layer on molten copper

Konovalov, O.V.; Belova, V.; La Porta, F.; Saedi, M.; Groot, I.M.N.; Renaud, G.; Snigireva, I.; Snigirev, A.; Voevodina, M.; Shen, C.; Sartori, A.; Murphy, B.M.; Jankowski, M.

doi:10.1107/S1600577522002053

Figure 5
(a) Approximated reconstruction of the reflectivity curve (green line) using the 2D map of Fig. 4

(c) and the detector integration approach (integration along horizontal lines) for the case of a curvature radius R = 200 mm and a beam size 2W_V = 50 µm. The black curve corresponds to the theoretical XRR on the flat surface (R = ∞). The effect of W_V/R on the reconstructed reflectivity curve calculated at W_V = 25 µm for a series of surface curvatures with radius R is demonstrated with the colored curves. The interval, where colored curves coincide with the curve calculated for the flat surface (black curve), corresponds to the interval, α_i > 2α_i,m, where the effect of the curvature can be neglected. Inset: geometrical illustration of the equivalence of the integrated reflectivity intensity on the flat and curved surfaces at the effective grazing angle above 2α_i,m. The rectangle represents the integrated reflected intensity on the flat surface at the effective grazing angle α_i. The right-angled trapezoid represents the integrated reflected intensity on the curved surface also at α_i. (b) Reflectivity intensity at each pixel (blue dots) of the 2D map in Fig. 4

(c). The red curve is a theoretical XRR curve on a flat surface. Insert: zoom of a small part of the graph with measured intensity at q_z around 0.3393 Å⁻¹; at this magnification, the blue curve consists of dots.

JOURNAL OF
SYNCHROTRON
RADIATION

ISSN: 1600-5775

Volume 29| Part 3| May 2022| Pages 711-720

https://doi.org/10.1107/S1600577522002053

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