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Fractal geometry of collision cascades

Published online by Cambridge University Press:  31 January 2011

François Rossi ,
Don M. Parkin  and
Michael Nastasi
François Rossi
Affiliation:
Center for Materials Science, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
Don M. Parkin
Affiliation:
Center for Materials Science, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
Michael Nastasi
Affiliation:
Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
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Abstract

The fractal nature of self-ion collision cascades is first described using an inverse power potential and then by the more realistic potential of Biersack–Ziegler. Based on the model of Cheng et al. and TRIM Monte Carlo simulations, the average cascade fractal dimension is a function of both atomic mass and initial energy. The instantaneous fractal dimension increases as the cascade evolves. A critical energy Ec for producing a dense subcascade is derived and it is shown that Ec agrees well with the onset energy for constant damage efficiency.

Type
Articles
Information
Journal of Materials Research , Volume 4 , Issue 1 , February 1989 , pp. 137 - 143
Copyright
Copyright © Materials Research Society 1989

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References

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