Linganisha mbinu

	Uundaji wa Sehemu-Awamu	Uchambuzi wa Rietveld wa XRD
Nyanja	Sayansi ya Vifaa	Sayansi ya Vifaa
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1958	1969
Mwanzilishi	John W. Cahn	Hugo Rietveld
Aina	Simulation method	Refinement method
Chanzo asilia	Cahn, J. W. (1958). Free energy of a nonuniform system: Interfacial free energy. The Journal of Chemical Physics, 28(2), 258-267.	Rietveld, H. M. (1969). A profile refinement method for nuclear and magnetic structures. Journal of Applied Crystallography, 2(2), 65-71.
Majina mbadala	phase-field method, diffuse interface method	Rietveld refinement, powder diffraction refinement
Zinazohusiana	3	3
Muhtasari	Phase-Field Modeling (PFM) is a continuum computational method for simulating microstructure evolution, phase transitions, and interfacial dynamics without explicitly tracking moving boundaries. Developed from Cahn-Ginzburg-Landau theory in the 1950s, PFM represents distinct phases through continuous order parameters that vary smoothly over diffuse interfaces. This approach elegantly handles topological changes (nucleation, coalescence, pinch-off), complex interface geometries, and strongly coupled multiphysics. It is the dominant method for studying dendritic growth, spinodal decomposition, grain evolution, and reactive transport in materials science.	XRD Rietveld Refinement is a method for extracting detailed crystal structure information from powder diffraction data by comparing observed and calculated diffraction patterns through least-squares refinement. Developed by Hugo Rietveld in 1969, this technique enables determination of atomic positions, occupancies, thermal parameters, and phase fractions directly from powder data without requiring single crystals. It is the standard approach in materials characterization for structural analysis, phase identification, and quantification.