Abstract
The diffusion coefficient of Sc in dilute Al-Sc alloys has been determined at 748 K, 823 K, and 898 K (475 °C, 550 °C, and 625 °C, respectively) using semi-infinite diffusion couples. Good agreement was found between the results of the present study and both the higher temperature, direct measurements and lower temperature, indirect measurements of these coefficients reported previously in the literature. The temperature-dependent diffusion coefficient equation derived from the data obtained in the present investigation was found to be \( D \left( {{\text{m}}^{2} /{\text{s}}} \right) = \left( {2.34 \pm 2.16} \right) \times 10^{ - 4} \left( {{\text{m}}^{2} /{\text{s}}} \right) { \exp }\left( {\frac{{ - \left( {167 \pm 6} \right) \left( {{\text{kJ}}/{\text{mol}}} \right)}}{RT}} \right). \) Combining these results with data from the literature and fitting all data simultaneously to an Arrhenius relationship yielded the expression \( D \left( {{\text{m}}^{2} /{\text{s}}} \right) = \left( {2.65 \pm 0.84} \right) \times 10^{ - 4} \left( {{\text{m}}^{2} /{\text{s}}} \right) { \exp }\left( {\frac{{ - \left( {168 \pm 2} \right) \left( {{\text{kJ}}/{\text{mol}}} \right)}}{RT}} \right). \) In each equation given above, R is 0.0083144 kJ/mol K, T is in Kelvin, and the uncertainties are ±1 standard error.
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Acknowledgments
The authors are grateful to the Office of Naval Research for funding this work through ONR Grant Number N00014-11-10876, Dr. William Mullins, Program Manager. They also wish to thank Michigan Tech technical staff members: Paul Fraley for assistance in sample encapsulation and heat treating, Ruth Kramer for help and advice related to metallographic sample preparation, and Owen Mills for his knowledge of electron microscopy and EPMA.
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Manuscript submitted July 26, 2013.
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Kerkove, M.A., Wood, T.D., Sanders, P.G. et al. The Diffusion Coefficient of Scandium in Dilute Aluminum-Scandium Alloys. Metall Mater Trans A 45, 3800–3805 (2014). https://doi.org/10.1007/s11661-014-2275-4
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DOI: https://doi.org/10.1007/s11661-014-2275-4