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Calculation of the fractal dimension of grain boundaries in nanocrystalline Pd
- Source :
- Journal of Physics: Condensed Matter. 11:129-133
- Publication Year :
- 1999
- Publisher :
- IOP Publishing, 1999.
-
Abstract
- The geometric structure of grain boundaries in nanocrystalline Pd has been analysed in terms of power-law relationships. The power laws yielded exponents that were interpreted as fractal-like dimensions. The box-counting fractal dimension, , was computed for three images digitized from published transmission electron micrographs; the average result was . An average site occupation probability, p, was estimated for the lattices in the images, by determining the relationship between p and for pseudo-random fcc lattices. The results of further numerical simulations suggested that the grain boundaries had a box-counting fractal dimension of . The extent to which fractal theory is valid for nanocrystalline Pd is evaluated.
Details
- ISSN :
- 1361648X and 09538984
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Journal of Physics: Condensed Matter
- Accession number :
- edsair.doi...........3eeb59e6b5bbc06e6b7aad01a26aaf04