Abstract
The combined effects of growth rate anisotropy and finite size effects upon the transformation rate of two-dimensional films are examined. Probabilistic arguments used in previous studies are applied to derive expressions for X(t), the fraction transformed as a function of time, for the limiting cases of large and small seeding densities. Numerical calculations show that in the former situation the transformation law deviates only slightly from that of the infinite sample result, while in the latter case the transformation rates are slower. For elliptical particles, the transformation rate is reduced slightly as the anisotropy increases.
| Original language | English |
|---|---|
| Pages (from-to) | 334-338 |
| Number of pages | 5 |
| Journal | Journal of Non-Crystalline Solids |
| Volume | 196 |
| DOIs | |
| Publication status | Published - Mar 1996 |
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ASJC Scopus subject areas
- Ceramics and Composites
- Electronic, Optical and Magnetic Materials
Cite this
Transformation kinetics of anisotropic particles in thin films. / Weinberg, Michael C.; Birnie, Dunbar P.
In: Journal of Non-Crystalline Solids, Vol. 196, 03.1996, p. 334-338.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Transformation kinetics of anisotropic particles in thin films
AU - Weinberg, Michael C.
AU - Birnie, Dunbar P
PY - 1996/3
Y1 - 1996/3
N2 - The combined effects of growth rate anisotropy and finite size effects upon the transformation rate of two-dimensional films are examined. Probabilistic arguments used in previous studies are applied to derive expressions for X(t), the fraction transformed as a function of time, for the limiting cases of large and small seeding densities. Numerical calculations show that in the former situation the transformation law deviates only slightly from that of the infinite sample result, while in the latter case the transformation rates are slower. For elliptical particles, the transformation rate is reduced slightly as the anisotropy increases.
AB - The combined effects of growth rate anisotropy and finite size effects upon the transformation rate of two-dimensional films are examined. Probabilistic arguments used in previous studies are applied to derive expressions for X(t), the fraction transformed as a function of time, for the limiting cases of large and small seeding densities. Numerical calculations show that in the former situation the transformation law deviates only slightly from that of the infinite sample result, while in the latter case the transformation rates are slower. For elliptical particles, the transformation rate is reduced slightly as the anisotropy increases.
UR - http://www.scopus.com/inward/record.url?scp=0030562689&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030562689&partnerID=8YFLogxK
U2 - 10.1016/0022-3093(95)00610-9
DO - 10.1016/0022-3093(95)00610-9
M3 - Article
VL - 196
SP - 334
EP - 338
JO - Journal of Non-Crystalline Solids
JF - Journal of Non-Crystalline Solids
SN - 0022-3093
ER -