Abstract
The values of effective activation energy (Q) and pre-exponential factor (D0) reported in the literature for diffusion in the novel bulk metallic glasses, both in the glassy and the deeply supercooled liquid regions, are found to follow the same correlation as reported earlier in conventional metallic glasses, namely D0 = A exp(Q/B), where A and B are fitting parameters with values A = 4.8 × 10−19 m2 s−1 and B = 0.056 eV atom−1. A possible explanation for the observed values of A and B is given by combining an activation energy and a free volume term. The interpretation favors a cooperative mechanism for diffusion in the glassy and deeply supercooled liquid states.
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A. Peker and W.L. Johnson, Appl. Phys. Lett. 63, 2342 (1993).
A. Inoue, T. Zhang, and T. Masumoto, Mater. Trans. JIM 31, 177 (1990).
U. Geyer, S. Schneider, W.L. Johnson, Y. Qiu, T.A. Tombrello, and M-P. Macht, Phys. Rev. Lett. 75, 2364 (1995).
P. Fielitz, M.-P. Macht, V. Naundorf, and G. Frohberg, in Proceedings of the Internatioinal Conference on Liquid and Amorphous Metals, Dortmund, Germany, Aug. 1998 ( J. Non-Cryst. Solids, in press).
K. Knorr, M.-P. Macht, K. Freitag, and H. Mehrer, in Proceedings of the International Conference on Liquid and Amorphous Metals, Dortmund, Germany, Aug. 1998 (J. Non-Cryst. Solids, in press).
H. Nonaka, Y. Kimura, K. Yamauchi, H. Nakajima, T. Zhang, A. Inoue, and T. Masumoto, Defect and Diffusion Forum 143–147, 837 (1997).
H. Ehmler, A. Heesemann, K. Raetzke, F. Faupel, and U. Geyer, Phys. Rev. Lett. 80, 4919 (1998).
K. Knorr, M-P. Macht, and H. Mehrer, in Bulk Metallic Glasses, edited by W.L. Johnson, C.T. Liu, and A. Inoue (Mater. Res. Soc. Symp. Proc. 554, Warrendale, PA, 1999).
Numerical Data and Functional Relationships in Science and Technology, Landolt-Bronstein New Series, Group III Vol. 26 (Springer-Verlag, Berlin, 1990).
R.W. Cahn, in Materials Science and Technology, edited by R.W. Cahn, P. Haasen, and E.J. Kramer (VCH, Weinheim, Germany, 1991), Vol. 9. p. 493.
F. Faupel, Phys. Status Solidi (a) 134, 9 (1992).
D. Turnbull and M.H. Cohen, J. Chem. Phys. 52, 3038 (1970).
F. Spaepen, in Physics of Defects, Les Houches Lectures XXXV, edited by R. Balian (North Holland, Amsterdam, 1981), p. 135.
S.K. Sharma, S. Banerjee, Kuldeep, and A.K. Jain, J. Mater. Res. 4, 603 (1989).
S.K. Sharma, M-P. Macht, and V. Naundorf, J. Non-Crys. Solids 156–158, 437 (1993).
V. Naundorf, M-P. Macht, A.S. Bakai, and N. Lazarev, J. Non-Cryst. Solids 224, 122 (1998).
P.G. Shewmon, Diffusion in Solids, 2nd ed. (The Minerals, Metals and Materials Society, Warrendale, PA, 1989), p. 74.
M.H. Cohen and G.S. Grest, Ann. N.Y. Acad. Sci. 271, 199 (1981).
A. Seeger and K.P. Chik, Phys. Status Solidi 29, 455 (1968).
F. Faupel, P-W. Huppe, and K. Rätzke, Phys. Rev. Lett. 65, 1219 (1990).
A. Heesemann, K. Rätzke, F. Faupel, J. Hollmann, and K. Heinemann, Europhys. Lett. 29, 221 (1995).
F. Spaepen, Mater. Sci. Eng. 97, 403 (1988).
P.A. Duine, J. Sietsma, and A. van den Beukel, Diffus. Defect Data, Pt. A 117–118, 91 (1995).
A. van den Beukel, Phys. Stat. Sol. 128, 285 (1991).
A. Masuhr, T.A. Waniuk, R. Busch, and W.L. Johnson, Phys. Rev. Lett. 82, 2290 (1999).
R. Busch, A. Masuhr, E. Bakke, T.A. Waniuk, and W.L. Johnson, in Bulk Metallic Glasses, edited by W.L. Johnson, C.T. Liu, and A. Inoue (Mater. Res. Soc. Symp. Proc. 554, Warrendale, PA, 1999).
R. Busch and W.L. Johnson, Appl. Phys. Lett 72, 2695 (1998).
E.C. Stelter and D. Lazarus, Phys. Rev. B 36, 9545 (1987).
H.R. Schober, Physica A 201, 14 (1993).
H.R. Schober, C. Oligschleger, and B.B. Laird, J. Non-Cryst. Solids 156–158, 965 (1993).
W. Götze and L. Sjogren, J. Non-Cryst. Sol. 139, 161 (1991).
A. Meyer, J. Wuttke, W. Petry, O.G. Randl, and H.R. Schober, Phys. Rev. Lett. 80, 4454 (1998).
X-P. Tang, R. Busch, W.L. Johnson, and Y. Wu, Phys. Rev. Lett. 81, 5358 (1998).
F. Spaepen and D. Turnball, Scripta Metall. Mater. 25, 1563 (1991).
H.J. Höfler, R.S. Averback, H. Mehrer, and G. Rummel, Philos. Mag. Lett. 66, 301 (1992).
A. Grandjean, P. Blanchard, and Y. Limoge, Phys. Rev. Lett. 78, 697 (1997).
P. Klugkist, K. Rätzke, and F. Faupel, Phys. Rev. Lett. 81, 614 (1998).
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On leave from the Department of Physics, Malaviya Regional Engineering College, Jaipur 302 017, India.
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Sharma, S.K., Faupel, F. Correlation between effective activation energy and pre-exponential factor for diffusion in bulk metallic glasses. Journal of Materials Research 14, 3200–3203 (1999). https://doi.org/10.1557/JMR.1999.0431
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DOI: https://doi.org/10.1557/JMR.1999.0431