Anomalous Self‐Diffusion in Solid Bismuth: The Trapping Mechanism
作者:
W. P. Ellis,
N. H. Nachtrieb,
期刊:
Journal of Applied Physics
(AIP Available online 1969)
卷期:
Volume 40,
issue 2
页码: 472-476
ISSN:0021-8979
年代: 1969
DOI:10.1063/1.1657422
出版商: AIP
数据来源: AIP
摘要:
An anomalous self‐diffusion behavior has been observed in single‐crystalline bismuth. The penetration profiles do not follow Fick's laws of diffusion and disagree with the results reported by Seith. For the semi‐infinite rod configuration, the concentration of210Bi tracer decreased exponentially with depth, but there was not necessarily an excess of tracer on the surface and the profiles did not vary with time. Penetration was correlated with mechanical twins, but was not directly amenable to a Fisher grain‐boundary analysis. Volume diffusion was not observed. The results have been interpreted by a modified grain‐boundary treatment in which the diffusing species is trapped. Integration of the trapped material over time with a Laplace transform results in the profileC=s(k/D′)1/2exp[−y(k/D′)1/2], which is in functional agreement with observation. The quantity (k/D)′1/2appears to be a property of Bi, and may be regarded as a characteristic inverse trapping distance.
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