Quantitative statistical description of the long period antiphase boundary structures from their high resolution image
Studied for years, the long period structures (LP) are a very intriguing order phenomenon occurring in numerous and very different metallic alloys such as noble metal alloys like Cu3Au, Cu3Pd, Ag3Mg…, known for their long range interactions and such as TiAl3  or such as Pt3V alloys, [2, 3] certainly characterized by short-range interactions [4, 5]. Regarding their structure, they can be described, basically, as one dimensional commensurate or incommensurate arrangements, along the direction of the long period, of L12 domains bounded by conservative antiphase boundaries (APB). From experimental electron microscopy studies, very different topologies emerge depending on the following factors: the value of the mean size of the domains, M, as compared to the L12 cell parameter, ao, the nature, continuous or discontinuous, of the variation of M with concentration and temperature, and the degree of rigidity, or roughness, of the APB i.e. the degree of freedom in the APB positions around the mean position M. APB can be very straight as in Pt3V, Al3Cu  or jogging over one atomic plane as in TiAl3  or wavy and spread over a few atomic planes as in Cu3Pd [7, 8].
KeywordsHigh Resolution Image Atomic Plane Antiphase Boundary High Temperature Regime Diffuse Plane
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