Quantitative statistical description of the long period antiphase boundary structures from their high resolution image

  • A. Loiseau
  • J. Planes
  • F. Ducastelle
Part of the NATO ASI Series book series (NSSE, volume 163)


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 [1] 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 [6] or jogging over one atomic plane as in TiAl3 [1] or wavy and spread over a few atomic planes as in Cu3Pd [7, 8].


High Resolution Image Atomic Plane Antiphase Boundary High Temperature Regime Diffuse Plane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Loiseau A, Van Tendeloo G, Portier R, Ducastelle F, J. Physique 46, 595, 1985Google Scholar
  2. 2.
    Schryvers D, Amelinckx S, Acta Metall. 34, 43, 1986CrossRefGoogle Scholar
  3. 3.
    Planès J, Loiseau A, Ducastelle F to be published in the Proceedings of the EMAG 87 Conference (Manchester 6-10 September 1987), 1987Google Scholar
  4. 4.
    Bieber A, Gautier F, Acta Metall. 34, 2291, 1986CrossRefGoogle Scholar
  5. 5.
    Solal F, Caudron R, Ducastelle F, Finel A, Loiseau A, Phys. Rev. Lett. 58 no 21, 2245, 1987ADSCrossRefGoogle Scholar
  6. 6.
    De Graef M, Broddin D, Van Humbeek J, Delay 1, Proc. XIth Int. Cong, on Electron Microscopy (Kyoto, 1986) 845 and present issueGoogle Scholar
  7. 7.
    Broddin D, Van Tendeloo G, Van Landuyt, Amelinckx S, Portier R, Guymont M, Loiseau A, Phil.Mag. 54, 395, 1986CrossRefGoogle Scholar
  8. 8.
    Broddin D, Van Tendeloo G, Van Landuyt J, Amelinckx S, Loiseau A to be published in Phil. Mag., 1987Google Scholar
  9. 9.
    Bak P, Rep. Prog. Phys. 45, 587, 1982MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    see e.g. Aubry S, J. Physique 44, 147, 1984MathSciNetGoogle Scholar
  11. 11.
    De Fontaine D, Kulik J, Acta Metall. 33,145, 1985CrossRefGoogle Scholar
  12. Kulik J, PHD Thesis (Berkeley, USA, 1987)Google Scholar
  13. 12.
    Selke W, Fisher M E, Phys. Rev. B20, 257, 1979ADSGoogle Scholar
  14. 13.
    Portier R, Gratias D, Guymont M, Stobbs W M, J. Micros. 119, 163, 1980CrossRefGoogle Scholar
  15. 14.
    Loiseau A, Vannuffel C, submitted to Solid State Phys., 1988Google Scholar
  16. 15.
    Broddin D, Van Tendeloo G this issueGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • A. Loiseau
    • 1
  • J. Planes
    • 1
  • F. Ducastelle
    • 1
  1. 1.Office National d’Etudes et de Recherches AérospatialesChatillon CedexFrance

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