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Interstitial and vacancy concentrations in the presence of interstitial injection

 

作者: S. M. Hu,  

 

期刊: Journal of Applied Physics  (AIP Available online 1985)
卷期: Volume 57, issue 4  

页码: 1069-1075

 

ISSN:0021-8979

 

年代: 1985

 

DOI:10.1063/1.334548

 

出版商: AIP

 

数据来源: AIP

 

摘要:

In processes such as thermal oxidation and phosphorus diffusion, where self‐interstitials are generated in excess, what happens to the vacancy concentration may significantly affect many diffusion processes which occur via dual mechanisms. Most authors in diffusion modelling have assumed as self‐evident that, for a very long time or in steady state, the product of the vacancy and the interstitial concentrations should be a constant. It is shown here that this assumption is generally invalid. The fallacy in the analogy between this case and the solubility product is pointed out. A correct relationship is first derived on a uniform defect concentration approximation. Then rigorous expressions for both the vacancy and the interstitial concentrations are given from an exact solution of simultaneous vacancy and interstitial continuity equations that include diffusion, recombination, and generation terms, under appropriate boundary conditions. The errors in the results from previous speculations are especially severe in the surface region.

 

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