A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans

Li, Yao; Wan, Liang; Chen, Kai

doi:10.1107/s1600576715004896

Title: A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans

Abstract

An automated method has been developed to characterize the type and spatial distribution of twinning in crystal orientation maps from synchrotron X-ray Laue microdiffraction results. The method relies on a look-up table approach. Taking into account the twin axis and twin plane for plausible rotation and reflection twins, respectively, and the point group symmetry operations for a specific crystal, a look-up table listing crystal-specific rotation angle–axis pairs, which reveal the orientation relationship between the twin and the parent lattice, is generated. By comparing these theoretical twin–parent orientation relationships in the look-up table with the measured misorientations, twin boundaries are mapped automatically from Laue microdiffraction raster scans with thousands of data points. Finally, taking advantage of the high orientation resolution of the Laue microdiffraction method, this automated approach is also applicable to differentiating twinning elements among multiple twinning modes in any crystal system.

Authors:

Li, Yao ^[1]; Wan, Liang ^[1]; Chen, Kai ^[1]

Xi'an Jiaotong Univ., Shaanxi (China). Center for Advancing Materials Performance from the Nanoscale (CAMP-Nano)

Publication Date:: Sat Apr 25 00:00:00 EDT 2015

Research Org.:: Xi'an Jiaotong Univ., Shaanxi (China)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

OSTI Identifier:: 1344884

Grant/Contract Number:: AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Applied Crystallography (Online)

Additional Journal Information:: Journal Name: Journal of Applied Crystallography (Online); Journal Volume: 48; Journal Issue: 3; Journal ID: ISSN 1600-5767

Publisher:: International Union of Crystallography

Country of Publication:: United States

Language:: English

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 36 MATERIALS SCIENCE; twinning; synchrotron X-ray Laue microdiffraction; crystal orientation maps; look-up tables

Citation Formats


                    Li, Yao, Wan, Liang, and Chen, Kai. A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans.  United States: N. p., 2015. 
Web.  doi:10.1107/s1600576715004896.

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                    Li, Yao, Wan, Liang, & Chen, Kai. A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans.  United States.  https://doi.org/10.1107/s1600576715004896

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                    Li, Yao, Wan, Liang, and Chen, Kai. Sat .  
"A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans".  United States.  https://doi.org/10.1107/s1600576715004896.  https://www.osti.gov/servlets/purl/1344884.

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@article{osti_1344884,

  title        = {A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans},

  author       = {Li, Yao and Wan, Liang and Chen, Kai},

  abstractNote = {An automated method has been developed to characterize the type and spatial distribution of twinning in crystal orientation maps from synchrotron X-ray Laue microdiffraction results. The method relies on a look-up table approach. Taking into account the twin axis and twin plane for plausible rotation and reflection twins, respectively, and the point group symmetry operations for a specific crystal, a look-up table listing crystal-specific rotation angle–axis pairs, which reveal the orientation relationship between the twin and the parent lattice, is generated. By comparing these theoretical twin–parent orientation relationships in the look-up table with the measured misorientations, twin boundaries are mapped automatically from Laue microdiffraction raster scans with thousands of data points. Finally, taking advantage of the high orientation resolution of the Laue microdiffraction method, this automated approach is also applicable to differentiating twinning elements among multiple twinning modes in any crystal system.},

  doi          = {10.1107/s1600576715004896},

  journal      = {Journal of Applied Crystallography (Online)},

  number       = 3,

  volume       = 48,

  place        = {United States},

  year         = {Sat Apr 25 00:00:00 EDT 2015},

  month        = {Sat Apr 25 00:00:00 EDT 2015}

}

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Works referenced in this record:

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Title: A look-up table based approach to characterize crystal twinning for synchrotron X-ray Laue microdiffraction scans

Abstract

Citation Formats

Study of $$ \{ 11\bar{2} 1\} $$ Twinning in α-Ti by EBSD and Laue Microdiffraction journal, April 2013

Internal strain and texture evolution during deformation twinning in magnesium journal, June 2005

Representation of orientation relationships in Rodrigues–Frank space for any two classes of lattice journal, May 2007

Lattice correspondence during twinning in hexagonal close-packed crystals journal, October 2010

In situ X-ray microdiffraction study of deformation-induced phase transformation in 304 austenitic stainless steel journal, February 2014

Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling journal, July 2005

Deformation twinning and residual stress in calcite studied with synchrotron polychromatic X-ray microdiffraction journal, March 2011

Residual stress preserved in quartz from the San Andreas Fault Observatory at Depth journal, February 2015

The position of anomalous scatterers in protein crystals journal, April 1961

Effect of grain and twin boundaries on the hardening mechanisms of twinning-induced plasticity steels journal, March 2008

Crystal structures of the low-temperature quartz-type phases of SiO 2 and GeO 2 at elevated pressure journal, January 1992

XMAS: A Versatile Tool for Analyzing Synchrotron X-ray Microdiffraction Data book, April 2014

The effect of the twin boundaries on the yield stress of a material journal, February 1997

Twinned b.c.c. spherical particles in a partially crystallized Ti50Ni25Cu25 melt-spun ribbon journal, March 2004

Calcite twin morphology: a low-temperature deformation geothermometer journal, August 2004

Role of twinning in the hardening response of zirconium during temperature reloads journal, June 2006

Twinned crystals journal, October 1954

Characterization of ion beam irradiated 304 stainless steel utilizing nanoindentation and Laue microdiffraction journal, March 2015

Deformation twinning journal, January 1995

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials journal, April 2007

A dedicated superbend x-ray microdiffraction beamline for materials, geo-, and environmental sciences at the advanced light source journal, March 2009

X-ray microdiffraction study of growth modes and crystallographic tilts in oxide films on metal substrates journal, June 2003

Magnetic-field-controlled twin boundaries motion and giant magneto-mechanical effects in Ni–Mn–Ga shape memory alloy journal, October 2000

Electron microscopic observations of the domain structure and the diffuse electron scattering in quartz and in aluminium phosphate in the vicinity of the α ⇆ β transition journal, July 1975

Improved X-ray and electron diffraction methods for twin determination in hexagonal crystals journal, December 1994

Scanning X-ray microdiffraction with submicrometer white beam for strain/stress and orientation mapping in thin films journal, February 2003

Crack initiation during high cycle fatigue of an austenitic steel journal, October 1990

Some basic concepts of texture analysis and comparison of three methods to calculate orientation distributions from pole figures journal, August 1988

Twinning in La 0.95 Sr 0.05 Ga 0.9 Mg 0.1 O 2.92 crystal studied by white-beam (Laue) X-ray microdiffraction journal, September 2003

The Precision Determination of Lattice Constants by the Powder and Rotating Crystal Methods and Applications journal, August 1949

Unambiguous indexing of trigonal crystals from white-beam Laue diffraction patterns: application to Dauphiné twinning and lattice stress mapping in deformed quartz journal, August 2012

Formation mechanism of fivefold deformation twins in nanocrystalline face-centered-cubic metals journal, March 2005

Study of Brazil twin boundaries in synthetic quartz by means of simulations of X-ray topographs journal, February 1993

Mechanics and Dynamics of the Strain-Induced M1–M2 Structural Phase Transition in Individual VO 2 Nanowires journal, August 2011

Unitary Triangularization of a Nonsymmetric Matrix journal, October 1958

Application of the twinning transformation matrix to derivation of the generalized reciprocal lattice with multiple diffraction journal, July 1967

Observation of insulating-insulating monoclinic structural transition in macro-sized VO2 single crystals journal, January 2011

High resolution mapping of strains and rotations using electron backscatter diffraction journal, November 2006

High precision thermal stress study on flip chips by synchrotron polychromatic x-ray microdiffraction journal, March 2010

Low Temperature Deformation Detwinning-A Reverse Mode of Twinning journal, September 2010

Über die Plastizität des Quarzes journal, November 1933

In situ synchrotron study of electromigration induced grain rotations in Sn solder joints journal, April 2016

A synchrotron study of microstructure gradient in laser additively formed epitaxial Ni-based superalloy journal, October 2015

Real-time microstructure imaging by Laue microdiffraction: A sample application in laser 3D printed Ni-based superalloys journal, June 2016

Statistical study of ductility-dip cracking induced plastic deformation in polycrystalline laser 3D printed Ni-based superalloy journal, June 2017

Twinning-mediated anomalous alignment of rutile films revealed by synchrotron X-ray nanodiffraction journal, April 2021

Study of $$ \{ 11\bar{2} 1\} $$ Twinning in α-Ti by EBSD and Laue Microdiffraction
journal, April 2013

Internal strain and texture evolution during deformation twinning in magnesium
journal, June 2005

Representation of orientation relationships in Rodrigues–Frank space for any two classes of lattice
journal, May 2007

Lattice correspondence during twinning in hexagonal close-packed crystals
journal, October 2010

In situ X-ray microdiffraction study of deformation-induced phase transformation in 304 austenitic stainless steel
journal, February 2014

Strain hardening due to deformation twinning in α-titanium: Constitutive relations and crystal-plasticity modeling
journal, July 2005

Deformation twinning and residual stress in calcite studied with synchrotron polychromatic X-ray microdiffraction
journal, March 2011

Residual stress preserved in quartz from the San Andreas Fault Observatory at Depth
journal, February 2015

The position of anomalous scatterers in protein crystals
journal, April 1961

Effect of grain and twin boundaries on the hardening mechanisms of twinning-induced plasticity steels
journal, March 2008

Crystal structures of the low-temperature quartz-type phases of SiO ₂ and GeO ₂ at elevated pressure
journal, January 1992

XMAS: A Versatile Tool for Analyzing Synchrotron X-ray Microdiffraction Data
book, April 2014

The effect of the twin boundaries on the yield stress of a material
journal, February 1997

Twinned b.c.c. spherical particles in a partially crystallized Ti50Ni25Cu25 melt-spun ribbon
journal, March 2004

Calcite twin morphology: a low-temperature deformation geothermometer
journal, August 2004

Role of twinning in the hardening response of zirconium during temperature reloads
journal, June 2006

Twinned crystals
journal, October 1954

Characterization of ion beam irradiated 304 stainless steel utilizing nanoindentation and Laue microdiffraction
journal, March 2015

Deformation twinning
journal, January 1995

Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
journal, April 2007

A dedicated superbend x-ray microdiffraction beamline for materials, geo-, and environmental sciences at the advanced light source
journal, March 2009

X-ray microdiffraction study of growth modes and crystallographic tilts in oxide films on metal substrates
journal, June 2003

Magnetic-field-controlled twin boundaries motion and giant magneto-mechanical effects in Ni–Mn–Ga shape memory alloy
journal, October 2000

Electron microscopic observations of the domain structure and the diffuse electron scattering in quartz and in aluminium phosphate in the vicinity of the α ⇆ β transition
journal, July 1975

Improved X-ray and electron diffraction methods for twin determination in hexagonal crystals
journal, December 1994

Scanning X-ray microdiffraction with submicrometer white beam for strain/stress and orientation mapping in thin films
journal, February 2003

Crack initiation during high cycle fatigue of an austenitic steel
journal, October 1990

Some basic concepts of texture analysis and comparison of three methods to calculate orientation distributions from pole figures
journal, August 1988

Twinning in La _0.95 Sr _0.05 Ga _0.9 Mg _0.1 O _2.92 crystal studied by white-beam (Laue) X-ray microdiffraction
journal, September 2003

The Precision Determination of Lattice Constants by the Powder and Rotating Crystal Methods and Applications
journal, August 1949

Unambiguous indexing of trigonal crystals from white-beam Laue diffraction patterns: application to Dauphiné twinning and lattice stress mapping in deformed quartz
journal, August 2012

Formation mechanism of fivefold deformation twins in nanocrystalline face-centered-cubic metals
journal, March 2005

Study of Brazil twin boundaries in synthetic quartz by means of simulations of X-ray topographs
journal, February 1993

Mechanics and Dynamics of the Strain-Induced M1–M2 Structural Phase Transition in Individual VO ₂ Nanowires
journal, August 2011

Unitary Triangularization of a Nonsymmetric Matrix
journal, October 1958

Application of the twinning transformation matrix to derivation of the generalized reciprocal lattice with multiple diffraction
journal, July 1967

Observation of insulating-insulating monoclinic structural transition in macro-sized VO2 single crystals
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