Short-range and long-range order of phyllomanganate nanoparticles determined using high-energy X-ray scattering

High-energy X-ray scattering data from turbostratic phyllomanganate nanosheets are analyzed in real-space by pair distribution function analysis and in reciprocal space by the Bragg-rod method and the Debye equation. The elastic deformation of the two-dimensional nanocrystals is modeled with (1) a new empirical strain function in Bragg-rod calculations and (2) explicit spherical and cylindrical mandrels implemented in the Debye equation.