Small-angle x-ray scattering (SAXS) is elastic scattering of monochromatic x-rays on small scattering angles (up to a few degrees) and wide-angle x-ray scattering (WAXS) is the same on larger scattering angles. X-ray diffraction is a type of WAXS (or sometimes also SAXS), where the scattering arises from crystals and produces Bragg peaks (diffraction peaks) as a function of the scattering angle (or spots or rings in 2D patterns). In single crystal diffraction the diffraction is only from one large crystal and the diffraction pattern is recorded in 2D.
The basic difference between SAXS and WAXS is the lengthscale they correspond to: WAXS detects ordering of individual atoms and SAXS probes larger structures based on electron density differences (e.g. proteins in solution or pores in a solid matrix). When using transmission geometry and a 2D detector, switching between SAXS and WAXS can be easily done by moving the detector closer to the sample.
source: https://www.researchgate.net/post/What_is_the_difference_between_SAXS_and_WAXS
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