Kinetics of transformation with nucleation and growth mechanism: Special consideration of crystallographic relationship and epitaxial growth

1997 ◽  
Vol 81 (1) ◽  
pp. 89-95 ◽  
Author(s):  
Ge Yu ◽  
S. T. Lee ◽  
J. K. L. Lai ◽  
L. Ngai
1997 ◽  
Vol 481 ◽  
Author(s):  
G. Yu ◽  
S. T. Lee ◽  
J. K. L. Lai

ABSTRACTThe kinetics of phase transformation which follows a nucleation-and-growth mechanism was studied by using probability theory. From the calculation of the survival probability for each individual site, the general equation for describing the transformation kinetics, in which the nucleation and growth rates are considered as a function of time and space, is derived. In comparison to the classical derivation by Avrami, the new derivation is logical and transparent. The extension of the treatment by using the definition of the multiple-survival probability leads to the exact solutions of the time dependent grain size distribution functions during transformation. A new understanding of fundamental relationships for the microstructural analysis can be achieved by comparing different kinds of size distribution functions. By applying the principles of the analytical treatment to the simulation, model systems of vast size can be handled for very complicated transformation process.


2007 ◽  
Vol 515 (7-8) ◽  
pp. 3624-3628 ◽  
Author(s):  
Huibing Mao ◽  
Weiping Jing ◽  
Jiqing Wang ◽  
Jianguo Yu ◽  
Li Wang ◽  
...  

1984 ◽  
Vol 39 ◽  
Author(s):  
E. E. Stansbury

ABSTRACTThe isothermal time-temperature dependence of the transformation from SRO to LRO as measured by resistivity changes is given. Problems of defining an initial state from which the transformation occurs are reviewed with emphasis on the microdomain structure from which the LRO structure develops. Questions of homogeneous transformation relative to heterogeneous transformation by clear nucleation and growth are addressed in terms of experimental evidence and theoretical predictions. Strong evidence for a nucleation and growth mechanism, at least above 750° C, is presented.


1989 ◽  
Vol 4 (4) ◽  
pp. 795-801 ◽  
Author(s):  
C. J. Jou ◽  
J. Washburn

A nucleation-and-growth mechanism for the twin formation in YBa2Cu3O7–δ superconductors based on the oxygen uptake rate curve and published transmission electron microscopic observations is proposed together with an oxygen-depleted twin boundary model. The difficulty of reaching stoichiometric YBa2Cu3O7 is explained.


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