OrientXplot: a program to analyse and display relative crystal orientations

Orientations of single crystals are usually determined by diffraction experiments. Indexing of a diffraction pattern from one crystal leads to the determination of its `orientation matrix', which defines the orientation of its crystallographic axes relative to a set of reference axes associated with the diffractometer. Crystal orientations can also be described in terms of Euler angles, especially from electron backscattered diffraction measurements.OrientXplotis a Windows program that reads all common types of orientation matrices, as well as orientation data such as Euler angles. The program calculates and displays the relative orientations of pairs of crystals, such as twins or inclusion crystals trapped inside host crystals.OrientXplotcan manipulate (under user control) the orientation matrices to allow for ambiguities in indexing that arise from crystal symmetries. Orientation data can be displayed on a stereogram or output in numerical form for plotting in external programs.

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Light Figures of Single Crystals of Tetragonal Tin and the Determination of Their Crystal Orientations by the Light-Figure Method, Part III. Orientation Determination by the Light-Figure Method

Journal of the Japan Institute of Metals and Materials ◽

10.2320/jinstmet1952.17.3_113 ◽

1953 ◽

Vol 17 (3) ◽

pp. 113-118

Author(s):

Mikio Yamamoto ◽

Jirô Watanabé

Keyword(s):

Single Crystals ◽

Crystal Orientations ◽

Orientation Determination

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Light Figures of Single Crystals of Tetragonal Tin and the Determination of Their Crystal Orientations by the Light-Figure Method, II. Light Figures

Journal of the Japan Institute of Metals and Materials ◽

10.2320/jinstmet1952.17.2_73 ◽

1953 ◽

Vol 17 (2) ◽

pp. 73-76

Author(s):

Mikio Yamamoto ◽

Jirô Watanabé

Keyword(s):

Single Crystals ◽

Crystal Orientations

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Light Figures of Bismuth Single Crystals and the Determination of Their Crystal Orientations by the Light-Figure Method, Part II. Light-Figures of Single Crystals of Bismuth

The Journal of the Japan Institute of Metals B ◽

10.2320/jinstmet1950b.15.11_519 ◽

1951 ◽

Vol 15 (11) ◽

pp. 519-523

Author(s):

Mikio Yamamoto ◽

Jirô Watanabé

Keyword(s):

Single Crystals ◽

Crystal Orientations

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Light Figures of Single Crystals of Tetragonal Tin and the Determination of Their Crystal Orientations by the Light-Figure Method, I. Preliminary and Fundamental Investigations

Journal of the Japan Institute of Metals and Materials ◽

10.2320/jinstmet1952.17.2_68 ◽

1953 ◽

Vol 17 (2) ◽

pp. 68-73 ◽

Cited By ~ 1

Author(s):

Mikio Yamamoto ◽

Jirô Watanabé

Keyword(s):

Single Crystals ◽

Crystal Orientations

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Light Figures of Bismuth Single Crystals and the Determination of Their Crystal Orientations by the Light-Figure Method, Part I. Preliminary Investigations

The Journal of the Japan Institute of Metals B ◽

10.2320/jinstmet1950b.15.11_514 ◽

1951 ◽

Vol 15 (11) ◽

pp. 514-518

Author(s):

Mikio Yamamoto ◽

Jir\={o} Watanabé

Keyword(s):

Single Crystals ◽

Crystal Orientations

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X-ray orientation determination of single crystals by means of the Ω-Scan Method

Journal de Physique IV (Proceedings) ◽

10.1051/jp4:2004118004 ◽

2004 ◽

Vol 118 ◽

pp. 37-42 ◽

Cited By ~ 1

Author(s):

H. Berger

Keyword(s):

Single Crystals ◽

X Ray ◽

Orientation Determination

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Two lithium tricyanomethanide compounds: syntheses and single-crystal structure determination of LiK[C(CN)3]2 and Li[C(CN)3]·½ (H3C)2CO

Zeitschrift für Naturforschung B ◽

10.1515/znb-2014-0250 ◽

2015 ◽

Vol 70 (3) ◽

pp. 191-196 ◽

Cited By ~ 1

Author(s):

Olaf Reckeweg ◽

Francis J. DiSalvo

Keyword(s):

Crystal Structure ◽

Single Crystal ◽

Single Crystals ◽

Structure Determination ◽

Monoclinic Space Group ◽

Orthorhombic Space Group ◽

Space Group ◽

Cell Parameters ◽

New Compounds

AbstractThe new compounds LiK[C(CN)3]2 and Li[C(CN)3]·½ (H3C)2CO were synthesized and their crystal structures were determined. Li[C(CN)3]·½ (H3C)2CO crystallizes in the orthorhombic space group Ima2 (no. 46) with the cell parameters a=794.97(14), b=1165.1(2) and c=1485.4(3) pm, while LiK[C(CN)3]2 adopts the monoclinic space group P21/c (no. 14) with the cell parameters a=1265.7(2), b=1068.0(2) and c=778.36(12) pm and the angle β=95.775(7)°. Single crystals of K[C(CN)3] were also acquired, and the crystal structure was refined more precisely than before corroborating earlier results.

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A Simple Algorithm to Eliminate Ambiguities in EBSD Orientation Map Visualization and Analyses: Application to Fatigue Crack-Tips/Wakes in Aluminum Alloys

Microscopy and Microanalysis ◽

10.1017/s1431927610093992 ◽

2010 ◽

Vol 16 (6) ◽

pp. 831-841 ◽

Cited By ~ 16

Author(s):

Vipul K. Gupta ◽

Sean R. Agnew

Keyword(s):

Fatigue Crack ◽

Aluminum Alloys ◽

Direct Determination ◽

Simple Algorithm ◽

Electron Backscattered Diffraction ◽

Lattice Curvature ◽

Orientation Data ◽

Orientation Map ◽

Crack Tips ◽

Map Visualization

AbstractA simple algorithm is developed and implemented to eliminate ambiguities, in both statistical analyses of orientation data (e.g., orientation averaging) and electron backscattered diffraction (EBSD) orientation map visualization, caused by symmetrically equivalent orientations and the wrap-around or umklapp effect. Using crystal symmetry operators and the lowest Euclidian-distance criterion, the orientation of each pixel within a grain is redefined. An advantage of this approach is demonstrated for direct determination of the representative orientation of a grain within an EBSD map by mean, median, or quaternion-based averaging methods that can be further used within analyses or visualization of misorientation or geometrically necessary dislocation (GND) density. If one also considers the lattice curvature tensor, five components of the dislocation density tensor—corresponding to a part of the GND content—may be inferred. The methodology developed is illustrated using EBSD orientation data obtained from the fatigue crack-tips/wakes in aerospace aluminum alloys 2024-T351 and 7050-T7451.

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