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Fig 1.

A 2-dimensional X-ray intensity map recorded on a stack of POPC bilayers. Measurements were performed 100% RH. The most intense scattering is specular (q = 0) with additional diffuse off-specular scattering that originates from out-of-plane membrane fluctuations. B Intensity profile of A along the out-of-plane scattering vector q at qz=3q1 and 3.5q1, where q1 refers to the 1st order lamellar peak. C 2-dimensional map of Eq 4. D Simulated line-cuts of C at qz=3q1 and 3.5q1.

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Fig 2.

A) Flow diagram of the reduction routine (written in Python). B Flow diagram of the fitting program (written in C++ and CUDA). Critical subroutines are highlighted in light blue and light green, and are visualized in greater detail in Fig 4.

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Fig 3.

Most 2-dimensional flat detectors subtend the spherical coordinate system of the reciprocal space spanned by the angle θ.

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Fig 4.

Flow diagram of the subroutines.

The program pre-calculates arrays of the height-height pair correlation function δun(r) and the finite size effect functions (Eqs 4 and 5) before calculating a single q profile for given values of qz, q, ξ, η and q1.

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Fig 5.

Screenshots of the reduction tab GUI: A Reduction-specific and Instrument-specific parameters can be entered by the user. B The progress of the reduction is visualized in a text-field and progress-bar. Once complete, the program visualizes the 2-dimensional intensity maps, the reflectivity profile as well as the q line cuts (source: https://medusa.genapp.rocks/medusa/).

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Table 1.

A summary and description of the input parameter.

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Table 1 Expand

Fig 6.

Screenshots of the fitting tab GUI: A Fitting-specific parameters can be entered by the user. B The progress of the fitting is visualized in a text-field reporting the log-output from the GPU-accelerated program. The determined bending rigidity Kc, the interaction modulus B as well as χ2 are updated for every iteration. Once complete, the program visualizes the q line cuts with the respective best-fit line and provides a download link to the reduced and fitted data (source: https://medusa.genapp.rocks/medusa/).

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Fig 7.

The setup of the X-ray diffraction machine is schematically sketched.

The central components: X-ray tube, collimator optics, humidity chamber and detector are marked in the graphics.

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