“…where D is the crystal size, is the wavelength of the X-ray source,  is half the maximum width of the diffraction peak in radians, Â is the Bragg angle XRD diffraction peak, and k is a constant related to the film whose particle size was calculated [34]. Using the XRD profile, the inter-planar distance (d) and lattice constant (a) can be calculated according to Bragg 's law [19]:…”