“…The size of the particles may be decreased due to the ionic radius mismatch between the host and dopant ions for all the doped samples compared to the undoped BTO. 24 However, the particle sizes are bigger for MN-7.5 and MN-10 samples compared to MN-5, which can be explained in terms of lattice strain. From XRD data, lattice strain is calculated using the following Williamson–Hall relation
where D is the average crystallite size, K is the shape factor, λ is the wavelength of the X-ray used, β is the value of full width at half maximum (FWHM), ε is the lattice strain, and θ is the Bragg angle.…”