Bibliographic Details
| Title: |
Correlation factors for impurity diffusion on the sublattice of dodecahedral sites in garnet. |
| Authors: |
Carlson, William1 wcarlson@jsg.utexas.edu, Wilson, Clark1 |
| Source: |
Physics & Chemistry of Minerals. May2016, Vol. 43 Issue 5, p363-369. 7p. |
| Subjects: |
Correlation methods (Signal processing), Impurity-dislocation interactions, Garnet crystallography, Lattice constants, Monte Carlo method |
| Abstract: |
The method of Koiwa and Ishioka (Philos Mag A 47:927-938, 1983) is used, with slight modification, to evaluate the correlation factor for vacancy-mediated diffusion of impurity atoms on the sublattice of dodecahedral sites in garnet, as a function of the relevant vacancy-jump frequencies. The required values of the lattice Green's function were obtained from multiple Monte Carlo simulations in lattices of progressively larger size, extrapolated to an infinite lattice using a model that linearizes the dependence of the functional value on lattice size. As Online Resources, codes are provided that permit evaluation of the correlation factor for any chosen set of vacancy-jump frequencies, for implementation in either M athematica or M atlab . [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
