Erratum to: Anisotropic Diffusion Behavior of Al in Mg: Diffusion Couple Study Using Mg Single Crystal
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DOI: 10.1007/s11661-013-1784-x Ó The Minerals, Metals & Materials Society and ASM International 2013
Erratum to: METALLURGICAL AND MATERIALS TRANSACTIONS A, 2013, vol. 44, no. 6, pp. 2539–2547 DOI: 10.1007/s11661-013-1636-8
IN the calculation of the interdiffusion coefficients of two intermediate phases and the impurity diffusion coefficients of Al in hcp Mg, a small numerical error was found. The error does not change the main conclusions of the work but can lead to small errors in the diffusion calculations. The following is a revision of the interdiffusion coefficients and impurity diffusion coefficient. The numbering of figures, tables and references used in this erratum are the same as the original paper for convenience. Interdiffusion coefficients for two intermediate phases (Mg17Al12 and Mg2Al3) were calculated using the Heuman-Matano method[13] by identifying the Matano plane from Al concentration profile throughout the whole diffusion zone quantified by Electron Probe Micro Analyzer (EPMA). For example, the position of the Matano plane for the sample annealed after 72 hours at 693 K (420 °C) is marked in Figure 1. The revised interdiffusion coefficients for the Mg17Al12 and Mg2Al3 intermediate phases are presented in Table III and in Figure 4 with comparison to previous studies.[5,8] Our results are in good agreement with Brennan et al.[8] The revised values for the Al impurity diffusion coefficient in hcp Mg from the multiphase diffusion
calculation used in the original paper are plotted in Figure 7(a). In order to confirm the impurity diffusion, a Gaussian solution of Fick’s second law[29] is also applied to analytically calculate impurity diffusion coefficient in this erratum. In the analytical method, the impurity diffusion coefficient for each sample was calculated from the slope of ln (Al concentration) vs square of penetration distance in dilute Al concentration region of hcp Mg solid solution. As can be seen in Figure 7(a), the analytical results are in good agreement with the results obtained from multiphase diffusion simulation. The revised Al impurity diffusion coefficients, depending on the orientation of hcp Mg, were plotted in Figure 7(b) and compared with previous studies.[4,7,9] The revised optimized mobilities of Al in hcp Mg along the a- and c-axis of Mg crystal are X?Al ðhcp MgÞ ¼ 3:23 107 expð148955=RT Þ XjjAl ðhcp MgÞ ¼ 6:32 107 expð153947=RT Þ
½10
The impurity diffusion coefficient values for Al in hcp Mg from the present experimental study are D?Al ¼ 4:86 103 expð154484=RT Þ DjjAl ¼ 9:51 103 expð159476=RT Þ
½11
SAZOL KUMAR DAS, Ph.D. Student, RAYNALD GAUVIN, Professor, IN-HO JUNG, Assistant Professor, are with the Department of Mining and Materials Engineering, McGill University, 3610 University Street, Montreal, QC H3A 0C5, Canada. Contact e-mail: [email protected] YOUNG-MIN KIM, formerly Post Doctoral Fellow with Department of Mining and Materials Engineering, McGill University, is now Senior Researcher with Korea Institute of Industrial Technology (KITECH), Incheon 406-840, Republic of Ko
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