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Texture analysis in cubic phase polycrystals by single exposure synchrotron X-ray diffraction
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10.1063/1.4825120
/content/aip/journal/jap/114/16/10.1063/1.4825120
http://aip.metastore.ingenta.com/content/aip/journal/jap/114/16/10.1063/1.4825120
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Error maps ((a) and (b)) on Φ-φ cross-section with 10° orientation broadening of φ = 32.5° and with φ = 232.5°, respectively; error maps ((c) and (d)) on Φ-φ cross-section with 5° orientation broadening of φ = 32.5° and with φ = 232.5°, respectively. The Euler angles are in Bunge conventions, and each Φ-φ cross-section represents one slice of the fundamental zone in orientation space for cubic crystal.

Image of FIG. 2.
FIG. 2.

Pole figures ((a) and (b)) of simulated ODF generated by MTEX with orientation centre at (φ = 32.5°, Φ = 57.5°, φ = 87.5°) and with 10° orientation broadening, and the recalculated ODF by single exposure Debye-Scherrer pole coverage, respectively; Pole figures ((c) and (d)) of simulated ODF generated by MTEX with orientation centre at (φ = 232.5°, Φ = 52.5°, φ = 47.5°) and with 5° orientation broadening, and the recalculated ODF by single exposure Debye-Scherrer pole coverage, respectively.

Image of FIG. 3.
FIG. 3.

Poles coverage ((a) and (b)) of Φ-φ cross-section with φ = 32.5° and with φ = 232.5°, respectively.

Image of FIG. 4.
FIG. 4.

(a) Full set of pole figures of the simulated ODF with three preferred orientations; (b) six raw pole figures extracted from the full pole figures.

Image of FIG. 5.
FIG. 5.

(a) Full pole figures from recalculated ODF based on 111, 200, 220, 311 raw pole figures; (b) full pole figures from recalculated ODF based on all the six raw pole figures. The corresponding experimental pole figures are shown in Fig. 4 .

Image of FIG. 6.
FIG. 6.

(a) Typical pole figures from rolled copper by CP-FEM; (b) the recalculated pole figures by 111, 200, 220, 311 raw pole figures; (c) the recalculated pole figures by all six (111, 200, 220, 311, 331, and 420) raw pole figures.

Image of FIG. 7.
FIG. 7.

Schematic diagram of the monochromatic X-ray powder diffraction setup (transmission mode).

Image of FIG. 8.
FIG. 8.

(a) The circle mapped out on the unit sphere surface by the points corresponding to a particular Debye-Scherrer ring; (b) the equal area projection of rings on the equatorial circle in the X-Y plane.

Image of FIG. 9.
FIG. 9.

Data processing diagrams. (a) A raw Debye-Scherrer diffraction pattern from tungsten wire; (b) the “caked” diffraction pattern re-plotted as a function of two angular coordinates; (c) single peak fitting applied to the equivalent 1D profile extracted along the red line shown in (b).

Image of FIG. 10.
FIG. 10.

Pole figures of tungsten wire. (a) Raw pole figures from a single 2D diffraction pattern; (b) the full pole figures calculated by MTEX; (c) the full pole figures calculated by MAUD. The maximum intensity in the (110) pole figure in (c) is 15.087, but the maximum limit for colour bar is set to 6 to show more details of the other pole figures.

Image of FIG. 11.
FIG. 11.

Rietveld fitting of 2D diffraction pattern of tungsten wire by MAUD: lower figure: raw diffraction patterns; upper figure: fitted patterns.

Image of FIG. 12.
FIG. 12.

Raw Pole figures of the copper cylinder. (a) From single exposure diffraction pattern at ω = 0°; (b) from multiple diffraction patterns and ω coverage from 0° to 180°; (c) from multiple diffraction patterns and ω coverage from 0° to 180°, and the intensity averaged within each 5° × 5° cell.

Image of FIG. 13.
FIG. 13.

Full pole figures of the copper cylinder. (a) Calculated from the ω = 0° set of raw pole figures by MTEX; (b) calculated from the ω = 0° to 180° sets of raw pole figures by MTEX; (c) calculated from the ω = 0° to 180° set of raw pole figures with standard grid by MTEX; (d) full pole figures by Rietveld fitting (MAUD) from ω = 0° (single exposure) diffraction pattern.

Image of FIG. 14.
FIG. 14.

Schematic of diffraction volume change for the copper cylinder in the rotation process.

Image of FIG. 15.
FIG. 15.

ODF difference between ODF with different rotation range with respect to the reference ODFs from ω = 0° to 180° without grid raw pole figures (upper curve) and ω = 0° to 180° with standard grid raw pole figures (lower curve).

Image of FIG. 16.
FIG. 16.

Rietveld fitting of one (ω = 0) 2D diffraction of copper cylinder by MAUD: lower figure: raw diffraction patterns; upper figure: fitted patterns.

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/content/aip/journal/jap/114/16/10.1063/1.4825120
2013-10-22
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Texture analysis in cubic phase polycrystals by single exposure synchrotron X-ray diffraction
http://aip.metastore.ingenta.com/content/aip/journal/jap/114/16/10.1063/1.4825120
10.1063/1.4825120
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