A unified projection formalism for the Al-Pd-Mn quasicrystal Xi-approximants and their metadislocations

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dc.creatorEngel, Michael
dc.creatorTrebin, Hans-Rainer
dc.date2007-04-11
dc.date.accessioned2026-07-07T07:56:10Z
dc.date.available2026-07-07T07:56:10Z
dc.descriptionThe approximants xi, xi' and xi'_n of the quasicrystal Al-Mn-Pd display most interesting plastic properties as for example phason-induced deformation processes (Klein, H., Audier, M., Boudard, M., de Boissieu, M., Beraha, L., and Duneau, M., 1996, Phil. Mag. A, 73, 309.) or metadislocations (Klein, H., Feuerbacher, M., Schall, P., and Urban, K., 1999, Phys. Rev. Lett., 82, 3468.). Here we demonstrate that the phases and their deformed or defected states can be described by a simple projection formalism in three-dimensional space - not as usual in four to six dimensions. With the method we can interpret microstructures observed with electron microscopy as phasonic phase boundaries. Furthermore we determine the metadislocations of lowest energy and relate them uniquely to experimentally observed ones. Since moving metadislocations in the xi'-phase can create new phason-planes, we suggest a dislocation induced phase transition from xi' to xi'_n. The methods developed in this paper can as well be used for various other complex metallic alloys.
dc.description25 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0704.1428
dc.identifierhttp://arxiv.org/abs/0704.1428
dc.identifierPhilosophical Magazine 85, 2227-2247 (2005)
dc.identifierdoi:10.1080/14786430500070669
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127209
dc.subjectMaterials Science
dc.titleA unified projection formalism for the Al-Pd-Mn quasicrystal Xi-approximants and their metadislocations
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