## Abstract

The well-known relations for the total amount W of material that diffuses in time t into or out of a semi-infinite solid when the surface y=0 is held at some constant concentration, are to be multiplied by a factor (1+ epsilon ^{2}U) when the solid contains dislocations. epsilon ^{2} is the volume fraction of material in dislocations. U is calculated for the model previously employed by the authors of a solid containing a regular array of straight dislocations all normal to and ending in y=0 and each represented as a pipe of radius a within which the diffusion coefficient D'>>D, the coefficient in regular crystal. U, an integral, is a function of alpha =a/(Dt)^{1/2}, of Delta =D'/D, and of the ratio, identical to epsilon / alpha , of the diffusion length (Dt)^{1/2} to the half-spacing between dislocations. U is represented graphically as a function of alpha for various values of Delta and epsilon ^{2}. An application is made to experimental data on dislocation-enhanced isotope exchange rate measurements of anion diffusion in KBr by Dawson and Barr (1967).

Original language | English |
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Article number | 008 |

Pages (from-to) | 991-1000 |

Number of pages | 10 |

Journal | Journal of Physics C: Solid State Physics |

Volume | 17 |

Issue number | 6 |

DOIs | |

State | Published - 1 Dec 1984 |

Externally published | Yes |

## ASJC Scopus subject areas

- Condensed Matter Physics
- General Engineering
- General Physics and Astronomy