Meaning
Diffraction profile fitting calculates average crystallite domain sizes and microstrain by matching full experimental diffraction patterns to structural models. Computer algorithms executing rietveld refinement crystallite size adjust crystallographic parameters until calculated diffraction intensity profiles match measured x-ray data. The analysis governs crystal domain sizing, lattice strain quantification, and structural degradation tracking.
It stops applying to amorphous solids or severely disordered materials lacking coherent three-dimensional Bragg diffraction peaks.
Peak Broadening
X-ray diffraction patterns exhibit peak broadening governed by both instrument geometry and sample microstructural features. Mathematical functions separate instrument broadening contributions from sample domain size and lattice microstrain components. Scherrer equation extensions and Williamson-Hall plotting methods isolate coherent scattering domain sizes along specific crystallographic axes.
Refinement software optimizes atomic positions, site occupancies, thermal parameters, and background parameters iteratively. Lower crystallite sizes broaden peak bases, while isotropic microstrain expands peak profile Gaussian character across high-angle reflections. Anisotropic crystallite shapes produce direction-dependent peak broadening, revealing preferential domain growth along distinct lattice planes.
Primary crystallite domain dimensions directly influence solid-state lithium ion diffusion distances within active cathode particles. Sub-micron crystallite domain boundaries alter mechanical fracture resistance during repeated volume changes during cell charge and discharge.
Lattice Stability
Microstrain accumulation within active material crystal lattices indicates structural defects, phase boundaries, or local compositional non-uniformity. High internal microstrain accelerates mechanical particle cracking during continuous electrochemical cycling, leading to capacity fade. Refining peak profile parameters tracks lattice strain release achieved through post-synthesis annealing steps.
Batch Uniformity
Material specifications require uniform crystallite domain dimensions across commercial production lots to guarantee consistent rate capability. Process variations during high-temperature calcination alter crystallite growth rates and produce batch-to-batch electrochemical performance shifts. Automated Rietveld refinement screen routines verify crystallite size compliance during routine quality release.