Determination of Impurity Diffusion Coefficients in a Single Experimental Cycle

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Abstract:

An experimental approach employing temperature and concentration gradients is presented that is suitable for determining impurity diffusion coefficients in a single experimental cycle. The Al-Cu system is used to illustrate the feasibility of the method. In a single phase α-Al solid solution, concentration gradients are generated by exposing a cylindrical sample to steep temperature gradients and by annealing until the initially formed mushy zone is re-solidified. The annealing is performed such that a symmetric, ramp shaped profile in the form of a roof is generated. The sample is then again exposed to a temperature gradient at somewhat lower temperatures for an extended time period. The symmetric profile then becomes asymmetric due to the varying diffusion coefficient along the sample. Information on the pre-exponential factor D0 and the activation energy for diffusion QD is retrieved from the asymmetry of the resulting concentration profile. The asymmetry becomes increasingly pronounced with longer diffusion times, yielding an increasing accuracy of the diffusion coefficients. The experimental approach is generally applicable to alloy systems with finite solubility.

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Materials Science Forum (Volumes 790-791)

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217-222

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May 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] L. Darken, Diffusion, mobility and their interrelation through free energy in binary metallic systems, Trans. AIME. 175 (1948) 184-201.

DOI: 10.1007/s11661-010-0177-7

Google Scholar

[2] G. E. Murch, Diffusion: novel measurement methods, in: K. H. J. Buschow, R. W. Cahn, M. C. Flemings, B. Ilschner (Eds. ), Encyclopedia of Materials: Science and Technology (Second Edition), Elsevier, Oxford, 2001, p.2170–2176.

DOI: 10.1016/b0-08-043152-6/00391-0

Google Scholar

[3] N.L. Peterson, S.J. Rothman, Impurity diffusion in aluminum, Physical Review B. 1 (1970) 3264-3273.

DOI: 10.1103/physrevb.1.3264

Google Scholar

[4] H. Engelhardt, B. Hallstedt, M. Druee, A. Loeffler, M. Schick, M. Rettenmayr, Solvus composition paths in multicomponent alloys-experimental approach and correlation with calphad calculations for the example Al-Mg-Si, Adv. Eng. Mat. 14 (2012).

DOI: 10.1002/adem.201100265

Google Scholar

[5] M.P. Watson, J.D. Hunt, Measurement of Liquid Diffusion Coefficients in the Al-Cu System Using Temperature Gradient Zone Melting, Metallurgical Trans. A 8 (1977) 1793-1798.

DOI: 10.1007/bf02646884

Google Scholar

[6] R.E. Doerr, J.P. Stark, Effect of Grain Size on the Thermal Diffusion of Copper in Aluminum, Metallurgical Trans. 3 (1972) 2461-2464.

DOI: 10.1007/bf02647050

Google Scholar

[7] W.G. Pfann, Temperature gradient zone melting, Trans. AIME. 203 (1955) 961-964.

Google Scholar

[8] W.A. Tiller, Migration of a liquid zone through a solid: Part1, J. Appl. Phys. 34 (1963) 2757-2762.

Google Scholar

[9] M. Buchmann, M. Rettenmayr, Microstructure evolution during melting and resolidification in a temperature gradient, J. Cryst. Growth. 284 (2005) 544-553.

DOI: 10.1016/j.jcrysgro.2005.06.044

Google Scholar

[10] Y. Du, Y.A. Chang, B. Huang, W. Gong, Z. Jin, H. Xu, Z. Yuan, Y. Liu, Y. He, F.Y. Xie, Diffusion coefficients of some solutes in fcc and liquid Al: critical evaluation and correlation, Mat. Sc. Eng: A 363 (2003) 140-151.

DOI: 10.1016/s0921-5093(03)00624-5

Google Scholar

[11] A. Beerwald, Diffusion of various metals in aluminum, Z. Elektrochem. 45 (1939) 789-795.

Google Scholar

[12] S. Ceresara, A step annealing procedure for the determination of diffusion coefficients in metals by the resistometric method-application to the diffusion of Cu in Al, Phys. Status Solidi 27 (1968) 517-520.

DOI: 10.1002/pssb.19680270207

Google Scholar

[13] P. Doig, J.W. Edington, Low-temperature diffusion in A1–7wt. % Mg and A1–4wt. % Cu alloys, Philos. Mag. 28 (1973) 961-970.

DOI: 10.1080/14786437308220958

Google Scholar

[14] M. Beyeler, M.F. Maurice, R. Seguin, Contribution to study of hetero-diffusion in aluminium, Mem. Sci. Rev. Met. 67 (1970) 295-302.

Google Scholar