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Impurity Diffusion with Complex Formation
Author(s) -
Sh. Malkovicii R.,
Pokoeva V. A.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220820202
Subject(s) - impurity , dissociation (chemistry) , diffusion , chemistry , limiting , diffusion equation , upper and lower bounds , thermodynamics , mathematical analysis , physics , mathematics , mechanical engineering , organic chemistry , engineering , economics , economy , service (business)
The non‐linear problem of the diffusion with complex formation is investigated, both in the presence and absence of local equilibrium, in half‐space with constant surface concentration of the free impurity. The background impurity is assumed to be immobile and uniformly distributed in the volume. The complexes are also considered to be immobile. For the solution of this problem an approximate method of successive intervals is suggested based on dividing the whole interval of the diffusion time into sufficiently small intervals where the free and bound impurity concentration values in the terms describing the complex formation and dissociation are supposed to be time independent and equal to the values at the end of the previous interval. In addition, for the local equilibrium region a second method is suggested based on the reduction of diffusion equations for complex formation and dissociation to the equation of the concentration‐dependent diffusion type. The general features of the numerical solutions for free and bound impurity concentration are investigated for various values of the parameters. The results obtained by these methods agree well with analytic ones found in several limiting cases.