Hostname: page-component-6bf8c574d5-t27h7 Total loading time: 0 Render date: 2025-02-22T08:10:37.807Z Has data issue: false hasContentIssue false
  • English
  • Français

Microstructure Characterization of Ceramics by Fractal Geometry

Published online by Cambridge University Press:  10 February 2011

Z. X. Xiong ,
K. Z. Baba-Kishi  and
F. G. Shin
Z. X. Xiong
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hong Kong, E-mail: 95980474R@HKPUCC.POLYU.EDU.HK
K. Z. Baba-Kishi
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hong Kong.
F. G. Shin
Affiliation:
Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hong Kong.
Get access

Abstract

Following Mandelbrot's fractal theory, the irregular characteristics of the microstructural features of ferroelectric Pb(Sc0.5 Ta0.5)O3 ceramics, including grain boundaries and dislocation networks, were investigated. The microstructural features were imaged by electron microscopy. The fractal analyses were carried out manually and by image processing techniques, which show the value of the fractal dimension, D, varies according to the regularity of the microstructure. The value of, D, close to unity is an indication of an increasing degree of microstructural regularity, which is in good agreement with the simulated results.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 492: Symposium S – Microscopic Simulation of Interfacial Phenomena in Solids… , 1997 , 139
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Hombogen, E., J. Mater. Sci., 21 (1986) 3737.Google Scholar
2. Mandelbrot, B. B., The Fractal Geometry of Nature, Freeman, New York, 1983, p. 28–110.Google Scholar
3. Richardson, L.F., General System Yearbook, 6 (1961) 139.Google Scholar
4. Microsoft Excel for Windows 95, Version 7.0, Map. Info Corporation, 1995.Google Scholar
5. Baba-Kishi, K. Z. and Barber, D. J., J. Appl. Cryst., 23 (1990) 43.Google Scholar
6. OPT 5201 L 09530, Version 5.2, Óptimas Corporation, 1995.Google Scholar
7. Kingery, W.D., Introduction to Ceramics. John Wiley & Sons, New York, 1976, p. 482–484.Google Scholar
8. Russ, J. C, Practical Stereology. Plenum Press, New York, 1986, p. 124–129.Google Scholar