Topological localisation of defects at atomic scale

Image Analysis and Stereology

Volumn 21, Issue 3, 2002, Pages 191-198

  Jernot, Jean Paul ^a   Jouannot Chesney, Patricia ^a   Lantuéjoul, Christian ^b   Nouet, Gérard ^c   Ruterana, Pierre ^c  

^a LABORATOIRE CRISMAT   (France)

^b PSL RESEARCH UNIVERSITY   (France)

^c LERMAT Laboratoire d'Etude et de Recherche sur les Materiaux   (France)

Author keywords

Defects; Eulcr Poincarc characteristic; HREM images; Interfaces; Tessellations; Topology

Indexed keywords

EID: 3042605144     PISSN: 15803139     EISSN: 18545165     Source Type: Journal    
DOI: 10.5566/ias.v21.p191-198     Document Type: Article

References (23)

1. Aboav DA (1980). The arrangement of cells in a net. Metallogr 13:43-58.
2. Ashby MF, Spaepen F, Williams S (1978). The structure of grain boundaries described as a packing of polyhedra. Acta Metall 26:1647-63.
3. Bourret A, Bacmann JJ (1987). Atomic structure of grain boundaries in semiconductors. Rev Phys Appl 22:563-8.
4. Braisaz T, Ruterana P, Nouet G, Serra A, Komninou Ph, Kehagias Th, Karakostas Th (1996). High-resolution electron microscopy study of the (10 1 2) twin and defects analysis in deformed polycrystalline a-titanium. Phil Mag Letters 74(5):331-8. '
5. Cahn JW (1966). A model for connectivity in multiphase structures. Acta Metall 14: 477-80.
6. Chaix JM (1998). Extraction of atomic positions from HRTEM images of grain boundaries. Acta Stereol 17(3):321-6.
7. Chen J, Hairie A, Nouet G, Paumier E (1999). Relative stability of two structures of the E=11 <011> tilt grain boundary in silicon and germanium by the tight-binding method. Materials Science Forum, Trans Tech Publications 294-296:227-30.
8. De Hoff RT, Aigeltinger EH, Craig KR (1972). Experimental determination of the topological properties of threedimensional microstructures. J Microsc 95(1):69-91.
9. Gabriel KR, Sokal RR (1969). A new statistical approach to geographic variations analysis. Systematic Zoology 18:259-78.
10. Grigoriadis P, Karakostas Th, Komninou Ph, Pontikis V (1999). Low-energy configuration of the 2>5 (210) [001] tilt grain boundary in fee crystals. Materials Science Forum, Trans Tech Publications 294-296:17780.
11. Jemot JP, Jouannot-Chesney P, Lantuéjoul C (2001). Evaluating the Euler-Poincaré characteristic of a set using a spatial tessellation. Image Anal Stereol 20(3): 14952.
12. Jemot JP, Jouannot-Chesney P, Lantuéjoul C (2001). Mesure de la caractéristique d'Euler-Poincaré sur des images 2D ou 3D. Colloque VIM 2001. Récents Progrès en Génie des Procédés. Ed. Lavoisier (Paris). 15/78: 187-94.
13. Jouannot P, Jemot JP, Guyon E (1995). Etude de la connexité de structures aléatoires. C R Acad Sei 321:425-30.
14. Lantuéjoul C (1978). Doctoral dissertation: La squelettisation et son application aux mesures topologiques de mosaïques polycristallines. ENSMP (Paris): 12.
15. Macdonald IF, Kaufmann P, Dullien FAL (1986). Quantitative image analysis of finite porous media (I and II). J Microsc 144(3):277-315.
16. Potin V, Ruterana P, Nouet G, Pond RC, Morkoç H (2000). Mosaic growth of GaN on (0001) sapphire: a high-resolution electron microscopy and crystallographic study of threading dislocations from low-angle to high-angle grain boundaries. Phys Rev B 61 (8):5587-99.
17. Putaux JL, Thibault-Desseaux J (1990). HREM characterization of structural changes in a deformed E=9 (122) grain boundary in silicon. J Phys Colloq 1:323-8.
18. Rhines FN (1967). Measurement of topological parameters. Proceedings of the 2nd International Congress for Stereology. Ed. Springer-Verlag (New York): 234-49.
19. Riviér N (1985). Statistical crystallography. Structure of random cellular networks. Phil Mag B 52(3):795-819.
20. Riviér N (1986). Structure of random cellular networks and their evolution. Physica D 23:129-37.
21. Serra (1982). Image analysis and mathematical morphology. London: Academic Press.
22. Smith CS (1952). Grain shapes and other metallurgical applications of topology. In Amer. Soc. For Metals, ed., Metal interfaces. Cleveland: 65-108.
23. Smith CS (1964). Some elementary principles of polycrystalline microstructure. Metallurgical Reviews 33(9):l-47.