• Instrumentation development and calibration of X-ray spectrometers for precise diffraction measurements, emphasizing line-shape determination, resolving power, direct-reading capabilities, and focusing, reflecting systematic instrument-level improvements [8], [13], [5], [16], [14], [18].

• Quantitative diffraction analysis through standardized intensity measurements, absorption corrections, and calibration against standards to achieve cross-study comparability in powder and rotating-crystal methods [12], [17], [3], [2].

• Fourier-based transformations of X-ray powder data yield radial distribution functions, enabling direct inference of interatomic distances and local structure from diffraction curves [4], [6], [20].

• Investigation of how finite crystal size and Debye-Scherrer geometry affect diffraction patterns, including line broadening and absorption implications for structural interpretation [1], [15].

• Examination of non-ideal lattice effects—distortions, defects, and anisotropy—and temperature dependence on X-ray reflections, revealing how crystal state modulates diffraction signals [11], [19].