Use of the Voigt function in a single-line method for the analysis of X-ray diffraction line broadening

1982/06/01 by Th. H. de Keijser, J. I. Langford, E. J. Mittemeijer +1 · 27 citations
Engineering · Materials Science · #Microstructure and Mechanical Properties of Steels #X-ray Diffraction in Crystallography #Metal and Thin Film Mechanics

paper · doi:10.1107/s0021889882012035

Abstract

The use of the Voigt function for the analysis of the integral breadths of broadened X-ray diffraction line profiles forms the basis of a rapid and powerful single-line method of crystallite-size and strain determination which is easy to apply. To avoid graphical methods or interpolation from tables, empirical formulae of high accuracy are used and an estimation of errors is presented, including the influence of line-profile asymmetry. The method is applied to four practical cases of size-strain broadening: (i) cold-worked nickel, (ii) a nitrided steel, (iii) an electrodeposited nickel layer and (iv) a liquid-quenched AlSi alloy.

Cited by

• A comparative study of single-line and Rietveld strain–size evaluation procedures using MgO ceramics
• A comparative study on reactive and non-reactive unbalanced magnetron sputter deposition of TiN coatings
• Yttrium oxide nanopowders from carbonate precursors
• Correction: Investigation of phase composition and nanoscale microstructure of high-energy ball-milled MgCu sample. [europepmc]
• Deformation-induced grain growth and twinning in nanocrystalline palladium thin films. [europepmc]
• Synthesis of colloidal solutions with silicon nanocrystals from porous silicon. [europepmc]
• Operando SXRD study of the structure and growth process of Cu 2 S ultra-thin films. [europepmc]
• Aluminium Electrodeposition from Ionic Liquid: Effect of Deposition Temperature and Sonication †. [europepmc]
• Tungsten as a Chemically-Stable Electrode Material on Ga-Containing Piezoelectric Substrates Langasite and Catangasite for High-Temperature SAW Devices. [europepmc]
• NaYF 4 Microstructure, beyond Their Well-Shaped Morphology. [europepmc]
• Microstructural evolution during heating of CNT/Metal Matrix Composites processed by Severe Plastic Deformation. [europepmc]
• Crystal orientation and crystal structure of paramagnetic α-Al under a pulsed electromagnetic field. [europepmc]
• Stress and Microstructure Evolution in Mo Thin Films without or with Cover Layers during Thermal-Cycling. [europepmc]
• Phases, Microstructures and Mechanical Properties of CoCrNiCuZn High-Entropy Alloy Prepared by Mechanical Alloying and Spark Plasma Sintering. [europepmc]
• Low-flux scanning electron diffraction reveals substructures inside the ordered membrane domain. [europepmc]
• Microemulsion Synthesis of Superparamagnetic Nanoparticles for Bioapplications. [europepmc]
• Halide Segregation in Mixed-Halide Perovskites: Influence of A-Site Cations. [europepmc]
• Photo-engineered optoelectronic properties of indium tin oxide via reactive laser annealing. [europepmc]
• Effects of Isothermal Temperature on Dislocation Density in Bainite Transformation of 4140 Steel. [europepmc]
• Iron oxide-based nanostructured ceramics with tailored magnetic and mechanical properties: development of mechanically robust, bulk superparamagnetic materials. [europepmc]
• Electrical and Structural Properties of Semi-Polar-ZnO/ a -Al 2 O 3 and Polar-ZnO/ c -Al 2 O 3 Films: A Comparative Study. [europepmc]
• Simulation of the Influence of the Radial Graded Porosity Distribution on Elastic Modulus of γ/β Phase Ti-Based Alloy Foams for Bone Implant. [europepmc]
• Acoustic Assessment of Microstructural Deformation Mechanisms on a Cold Rolled Cu30Zn Brass. [europepmc]
• Effect of Coherent Nanoprecipitate on Strain Hardening of Al Alloys: Breaking through the Strength-Ductility Trade-Off. [europepmc]
• Immobilization of Naringinase onto Polydopamine-Coated Magnetic Iron Oxide Nanoparticles for Juice Debittering Applications. [europepmc]
• Anisotropy visualisation from X-ray diffraction of biological apatite in mixed phase calcified tissue samples. [europepmc]
• Biofunctional Magnetic Carbon Nanohybrid for Fast Removal of Methyl Blue from Synthetic Laboratory Effluent. [europepmc]

Related

• Profile fitting of X-ray diffraction lines and Fourier analysis of broadening
• Effects of Voigt Diffraction Peak Profiles on the Pair Distribution Function
• Applicability of diffraction elastic constants to rationalize anisotropic broadening of X-Ray Diffraction line profiles from deformed metals
• Size–strain line-broadening analysis of the ceria round-robin sample
• Warren-Averbach line broadening analysis from a time of flight neutron diffractometer