No CrossRef data available.
Article contents
Fractal Coefficients of An Icosahedral Structure of Quasi-Crystals and Amorphous Alloys
Published online by Cambridge University Press: 25 February 2011
Abstract
Different extended icosahedral structures are obtained from energy minimization and local symmetry Yh. The quasi fractal character of one of these is demonstrated from the quasi algorithm of definition, the gamma density of holes and the measured Hausdorff number ∂. The spectral dimension ∂ is measured and dimensions corresponding to higher derivatives are defined.
- Type
- Research Article
- Information
- Copyright
- Copyright © Materials Research Society 1986
References
REFERENCES
1.Shechtman, D.S., Blech, I., Gratias, D. and Cahn, J.W., Phys. Rev. Lett. 53, 1951 (1984)Google Scholar
8.Levine, D., Lubensky, T.C., Ostlund, S., Ramaswamy, S. and Steinhardt, P.J., Phys. Rev. Lett. 54, 1520 (1985)Google Scholar
14.Feller, W., An Introduction to Probability Theory and its Applications, vol. II, p. 59, 2nd Ed., Edited by Whiey, J. (1971)Google Scholar
15.Mandelbrot, B., The fractal geometry of nature, San Francisco Freeman editor (1982)Google Scholar
19.Handbook of Mathematical Functions, p. 885, edited by Abramoitz, M. and Stegun, I.A., Washington (1964)Google Scholar