Abstract
The behavior of Avrami exponents (AE) for systems which produce anisotropic particles (for which shielding effects and phantoms occur) is examined. Probabilistic arguments used in previous studies are applied to derive expressions for the AE as a function of time or the extent of transformation. Numerical calculations for the one dimensional (1D) cases of site saturation and continuous nucleation show that blocking effects produce a minimum in plots of AE versus extent of transformation. The influence of growth rate anisotropy upon the magnitude of the reduction in the AE is also examined and certain features of the behavior of the AE for 2D and 3D systems are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 290-296 |
| Number of pages | 7 |
| Journal | Journal of Non-Crystalline Solids |
| Volume | 202 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1996 |
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ASJC Scopus subject areas
- Ceramics and Composites
- Electronic, Optical and Magnetic Materials
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Avrami exponents for transformations producing anisotropic particles. / Weinberg, Michael C.; Birnie, Dunbar P.
In: Journal of Non-Crystalline Solids, Vol. 202, No. 3, 1996, p. 290-296.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Avrami exponents for transformations producing anisotropic particles
AU - Weinberg, Michael C.
AU - Birnie, Dunbar P
PY - 1996
Y1 - 1996
N2 - The behavior of Avrami exponents (AE) for systems which produce anisotropic particles (for which shielding effects and phantoms occur) is examined. Probabilistic arguments used in previous studies are applied to derive expressions for the AE as a function of time or the extent of transformation. Numerical calculations for the one dimensional (1D) cases of site saturation and continuous nucleation show that blocking effects produce a minimum in plots of AE versus extent of transformation. The influence of growth rate anisotropy upon the magnitude of the reduction in the AE is also examined and certain features of the behavior of the AE for 2D and 3D systems are discussed.
AB - The behavior of Avrami exponents (AE) for systems which produce anisotropic particles (for which shielding effects and phantoms occur) is examined. Probabilistic arguments used in previous studies are applied to derive expressions for the AE as a function of time or the extent of transformation. Numerical calculations for the one dimensional (1D) cases of site saturation and continuous nucleation show that blocking effects produce a minimum in plots of AE versus extent of transformation. The influence of growth rate anisotropy upon the magnitude of the reduction in the AE is also examined and certain features of the behavior of the AE for 2D and 3D systems are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0030564596&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030564596&partnerID=8YFLogxK
U2 - 10.1016/0022-3093(96)00389-4
DO - 10.1016/0022-3093(96)00389-4
M3 - Article
VL - 202
SP - 290
EP - 296
JO - Journal of Non-Crystalline Solids
JF - Journal of Non-Crystalline Solids
SN - 0022-3093
IS - 3
ER -