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Figure 6
Maps generated throughout the experimental procedure beginning with the (a) raw tomographic data, projection number 362, showing the diffracted (left) and transmitted (right) intensities in this single projection that needs to be separated and aligned. We then perform phase retrieval to obtain maps (b) [\Delta\tilde{\theta{{}^{{\,\prime}}}}] of the change of the angle of incidence upon the analyser crystal and (c) [\Delta\hat{\theta}{{}^{\,{\prime}}}], the 180° equivalent of [\Delta\tilde{\theta{{}^{{\,\prime}}}}] in microradians. From this we split [\Delta\tilde{\theta{{}^{{\,\prime}}}}] and [\Delta\hat{\theta}{{}^{\,{\prime}}}] into the (d) vertical and (e) horizontal components of the phase gradients, divided by the wavenumber, in microradians. From the transmitted projection we obtain a map of (f) intensity, while performing 2-D integration using (d) and (e) to calculate the (g) phase map in radians. We then performed tomographic reconstruction using the intensity and phase maps to calculate the (h) β maps (×10-9), and (i) δ maps (×10-6), respectively.

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SYNCHROTRON
RADIATION
ISSN: 1600-5775
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