Size-Dependent Peak Broadening: In nanomaterials like QDs, the XRD peaks exhibit significant broadening compared to bulk materials. This broadening is primarily due to the size effect. Smaller particles have fewer unit cells, leading to a less defined crystal lattice and broader diffraction peaks.
Scherrer Equation: The most common method to estimate the crystallite size from XRD peak broadening is using the Scherrer equation
Using the Scherrer Formula you will get an approximate size of the unit cells, although the size of nanoparticles with additional amorphous regions will be larger. Whether you can get this information or not depends on your experiment. In addition, this information is small to make any practical conclusions, as in this article, where XRD is not even discussed.
No... Im not quite certain.. Scherrer depends on β and β depends on 2θ and 2θ depends on specific bragg planes throughout the substrate... Maybe u can approximate it by finding the total grains at given 2θ = 1/dhkl⁴ (hall-petch r/n)
and find the approximate the size of 1 quantum dot...