Group‐theoretical considerations concerning domain formation in ordered alloys
Publication type: Journal Article
Publication date: 1974-05-01
SJR: —
CiteScore: —
Impact factor: —
ISSN: 05677394
General Medicine
Abstract
Domain formation in ordered alloys has been studied from the group-theoretical point of view. A method is derived to determine the number of orientation variants as well as the number of translation variants from the point groups and lattices of the ordered and disordered structures. The number of orientation variants is found to be equal to the order of the point group of the disordered phase divided by that of the ordered phase. It has been shown that under certain conditions the set of operations that produce all variants from a given original variant can be chosen so as to form a group. The operations relating the orientation variants are the elements of this group called the variant generating group. The results of the theory derived in this paper are general and can be applied to any disorder-order transformation. A few examples are worked out explicitly to illustrate the different theorems.
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Total citations:
213
Citations from 2024:
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Van Tendeloo G., Amelinckx S. Group‐theoretical considerations concerning domain formation in ordered alloys // Acta Crystallographica Section A. 1974. Vol. 30. No. 3. pp. 431-440.
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Van Tendeloo G., Amelinckx S. Group‐theoretical considerations concerning domain formation in ordered alloys // Acta Crystallographica Section A. 1974. Vol. 30. No. 3. pp. 431-440.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1107/S0567739474000933
UR - https://doi.org/10.1107/S0567739474000933
TI - Group‐theoretical considerations concerning domain formation in ordered alloys
T2 - Acta Crystallographica Section A
AU - Van Tendeloo, G.
AU - Amelinckx, S.
PY - 1974
DA - 1974/05/01
PB - International Union of Crystallography (IUCr)
SP - 431-440
IS - 3
VL - 30
SN - 0567-7394
ER -
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BibTex (up to 50 authors)
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@article{1974_Van Tendeloo,
author = {G. Van Tendeloo and S. Amelinckx},
title = {Group‐theoretical considerations concerning domain formation in ordered alloys},
journal = {Acta Crystallographica Section A},
year = {1974},
volume = {30},
publisher = {International Union of Crystallography (IUCr)},
month = {may},
url = {https://doi.org/10.1107/S0567739474000933},
number = {3},
pages = {431--440},
doi = {10.1107/S0567739474000933}
}
Cite this
MLA
Copy
Van Tendeloo, G., and S. Amelinckx. “Group‐theoretical considerations concerning domain formation in ordered alloys.” Acta Crystallographica Section A, vol. 30, no. 3, May. 1974, pp. 431-440. https://doi.org/10.1107/S0567739474000933.