The diffusion of yttrium ions along grain boundaries in chromium oxide (Cr2CO3) has been studied by Lesage

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The diffusion of yttrium ions along grain boundaries in chromium oxide (Cr2CO3) has been studied by Lesage and co-workers. Their data for grain-boundary diffusivities are shown here.
The diffusion of yttrium ions along grain boundaries in chromium

(a) From these data, show that the activation energy for grain-boundary diffusion of yttrium in Cr2CO3 is 190 kJ/cal.
(b) What is the value of the pre-exponential term D0 in cm2/s?
(c) What is the relationship between D and 1/T for the grain-boundary diffusivity in this temperature range?
(d) At any given temperature, the diffusivity of chromium along grain boundaries is several orders of magnitude higher than that within the bulk. Is this to be expected? Explain.

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Essentials of Materials Science and Engineering

ISBN: 978-1111576851

3rd edition

Authors: Donald R. Askeland, Wendelin J. Wright

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