Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Revealing inconsistencies in X-ray width methods for nanomaterials

Journal Article · · Nanoscale
DOI:https://doi.org/10.1039/C9NR08268A· OSTI ID:1574484

Since the landmark development of the Scherrer method a century ago, multiple generations of width methods for X-ray diffraction originated to non-invasively and rapidly characterize the property-controlling sizes of nanoparticles, nanowires, and nanocrystalline materials. Yet, the predictive power of this approach suffers from inconsistencies among numerous methods and from misinterpretations of the findings. Thus, we systematically evaluated twenty-two width methods on a representative nanomaterial subjected to thermal and mechanical loads. To bypass experimental complications and enable a 1:1 comparison between ground truths and the results of width methods, we produced virtual X-ray diffractograms from atomistic simulations. These simulations realistically captured the trends that we observed in experimental synchrotron diffraction. To comprehensively survey the width methods and to guide future investigations, we introduced a consistent, descriptive nomenclature. Surprisingly, our results demonstrated that popular width methods, especially the Williamson–Hall methods, can produce dramatically incorrect trends. We also showed that the simple Scherrer methods and the rare Energy methods can well characterize unloaded and loaded states, respectively. Overall, this work improved the utility of X-ray diffraction in experimentally evaluating a variety of nanomaterials by guiding the selection and interpretation of width methods.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1574484
Alternate ID(s):
OSTI ID: 1765521
OSTI ID: 1576028
Report Number(s):
SAND--2019-13701J; 681299
Journal Information:
Nanoscale, Journal Name: Nanoscale Journal Issue: 46 Vol. 11; ISSN NANOHL; ISSN 2040-3364
Publisher:
Royal Society of ChemistryCopyright Statement
Country of Publication:
United States
Language:
English

References (56)

The determination of density and distribution of dislocations in deformed single crystals from broadened X-ray diffraction profiles journal June 1970
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
A new facile synthesis of ultra fine magnesium oxide nanowires and optical properties journal October 2012
Detecting rare, abnormally large grains by x-ray diffraction journal July 2015
X-Ray and Neutron Diffraction Measurements of Dislocation Density and Subgrain Size in a Friction-Stir-Welded Aluminum Alloy journal August 2009
A Computational Algorithm to Produce Virtual X-ray and Electron Diffraction Patterns from Atomistic Simulations journal January 2014
X-ray line broadening from filed aluminium and wolfram journal January 1953
The embedded-atom method: a review of theory and applications journal March 1993
Dislocations and grain size in ball-milled iron powder journal September 1996
Formation of annealing twins in f.c.c. crystals journal June 1997
Structural transformations of bioactive glass 45S5 with thermal treatments journal June 2007
Atomistic origin of microstrain broadening in diffraction data of nanocrystalline solids journal March 2009
Untangling dislocation and grain boundary mediated plasticity in nanocrystalline nickel journal February 2014
Development of physically based atomistic microstructures: The effect on the mechanical response of polycrystals journal February 2017
Correlating deformation mechanisms with X-ray diffraction phenomena in nanocrystalline metals using atomistic simulations journal November 2018
Influence of dislocations and grain boundaries on diffraction line profiles of nano-crystalline materials: A numerical study journal January 2020
Metrological characterization of X-ray diffraction methods at different acquisition geometries for determination of crystallite size in nano-scale materials journal November 2013
Structural changes in iron powder during ball milling journal September 2010
The role of copper twin boundaries in cryogenic indentation-induced grain growth journal January 2014
Nanomechanics of Hall–Petch relationship in nanocrystalline materials journal August 2009
Estimation of lattice strain in nanocrystalline RuO 2 by Williamson–Hall and size–strain plot methods journal January 2016
Validating grain size analysis from X-ray line broadening: A virtual experiment journal July 2008
X-ray analysis of ZnO nanoparticles by Williamson–Hall and size–strain plot methods journal January 2011
Small Angle X-ray Scattering for Nanoparticle Research journal April 2016
Tutorial on Powder X-ray Diffraction for Characterizing Nanoscale Materials journal July 2019
Catastrophic vs Gradual Collapse of Thin-Walled Nanocrystalline Ni Hollow Cylinders As Building Blocks of Microlattice Structures journal October 2011
Combining Atomistic Simulation and X-ray Diffraction for the Characterization of Nanostructures: A Case Study on Fivefold Twinned Nanowires journal January 2014
Probing the limits of metal plasticity with molecular dynamics simulations journal September 2017
The Scherrer equation versus the 'Debye-Scherrer equation' journal August 2011
Generation of highly amenable cellulose-Iβ via selective delignification of rice straw using a reusable cyclic ether-assisted deep eutectic solvent system journal January 2021
Pitfalls in the characterization of nanoporous and nanosized materials journal January 2011
The effect of dislocation contrast on x‐ray line broadening: A new approach to line profile analysis journal November 1996
Size effect on the ferroelectric phase transition in SrBi2Ta2O9 nanoparticles journal July 2003
The Separation of Cold‐Work Distortion and Particle Size Broadening in X‐Ray Patterns journal April 1952
Mechanical properties of stabilized nanocrystalline FCC metals journal September 2019
Estimating grain-size distributions in nanocrystalline materials from X-ray diffraction profile analysis journal March 1998
Microstructural evaluation of CoAl 2 O 4 nanoparticles by Williamson–Hall and size–strain plot methods journal January 2018
The diffraction of X rays by distorted crystal aggregates - I journal May 1944
Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool journal December 2009
Virtual diffraction analysis of Ni [0 1 0] symmetric tilt grain boundaries journal June 2013
Fatigue-driven acceleration of abnormal grain growth in nanocrystalline wires journal January 2019
Calculation of x-ray spectra for nanocrystalline materials journal January 2005
Extended pseudo-Voigt function for approximating the Voigt profile journal December 2000
Line broadening analysis using integral breadth methods: a critical review journal May 2004
Scherrer after sixty years: A survey and some new results in the determination of crystallite size journal April 1978
Reliability of the Simplified Integral-Breadth Methods in Diffraction Line-Broadening Analysis journal February 1996
Dislocations and Grain Size in Electrodeposited Nanocrystalline Ni Determined by the Modified Williamson–Hall and Warren–Averbach Procedures journal August 1998
The contrast factors of dislocations in cubic crystals: the dislocation model of strain anisotropy in practice journal October 1999
Separation of particle size and lattice strain in integral breadth measurements journal February 1966
X-ray diffraction line broadening analysis of nanostructured nickel powder journal September 2017
Nanoscale Hard X-Ray Microscopy Methods for Materials Studies journal July 2013
Williamson-Hall analysis in estimation of lattice strain in nanometer-sized ZnO particles journal January 2012
VI. Lorentz-Faktor und Intensitätsverteilung in Debye-Scherrer-Ringen journal January 1926
Dislocation Characterization by the Direct-fitting/modified Williamson–Hall (DF/mWH) Method in Cold Worked Ferritic Steel journal January 2019
Modified Scherrer Equation to Estimate More Accurately Nano-Crystallite Size Using XRD journal January 2012
X-ray diffraction line broadening: modeling and applications to high-Tc superconductors journal May 1993

Similar Records

Colloidal Synthesis of Bulk-Bandgap Lead Selenide Nanocrystals
Journal Article · Wed Nov 21 23:00:00 EST 2018 · Frontiers in Chemistry · OSTI ID:1628028

Synthesis of cerium oxide (CeO2) by co-precipitation for application as a reference material for X-ray powder diffraction peak widths
Journal Article · Sat Jan 20 23:00:00 EST 2018 · Powder Diffraction · OSTI ID:1436797

Related Subjects