Excess Free Volume of High Angle Grain Boundaries in Aluminium


Article Preview

A new method is introduced to determine the absolute value of the boundary excess free volume. Along with the boundary energy the excess free volume belongs to the major thermodynamic properties of grain boundaries. The method utilizes the dependence of the contact angle at triple junctions of grain boundaries in Al-tricrystals on hydrostatic pressure. We investigated <111> tilt boundaries in the pressure range up to 14 kbar. In particular, for a 40° <111> tilt boundary with 2° twist component the boundary free volume was found to be equal to 5.03×10-11 m3/m2.



Materials Science Forum (Volumes 519-521)

Edited by:

W.J. Poole, M.A. Wells and D.J. Lloyd




V.A. Ivanov et al., "Excess Free Volume of High Angle Grain Boundaries in Aluminium", Materials Science Forum, Vols. 519-521, pp. 1557-1562, 2006

Online since:

July 2006




[1] G. S. Knizhnik, Poverhnost: Fizika, Khimia, Mehanika Vol. 5 (1981), p.50.

[2] D. Wolf, Scripta Metall. Vol. 23 (1989), p. (1913).

[3] D. Wolf, J. Appl. Phys. Vol. 68 (1990), p.3221.

[4] D. Wolf, Acta Metall. Mater. Vol. 38 (1990), p.781.

[5] H. J. Frost, M. F. Ashby, F. Spaepen, Scripta Metall. Vol. 14 (1980), p.1051.

[6] M. A. Stremel, A. L. Markovich, Poverhnost: Rentgenovskie, Sinhrotronnii i Neitronnii Issledovaniya Vol. 1 (1997), p.85.

[7] H. Zhang, D. J. Srolovitz, to be published.

[8] H. Meiser, H. Gleiter, R. W. Mirwald, Scripta Metall. Vol. 14 (1980), p.95.

[9] K. I. Buckett, K. L. Merkle, Ultramicroscopy Vol. 56 (1994), p.71.

[10] K. L. Merkle, R. Csencsits, K. L. Rynes, J. P. Withrow, P. A. Stadelmann, J. of Microscopy Vol. 190 (1998), p.204.

[11] G. Gottstein, L. S. Shvindlerman: Grain Boundary Migration in Metals. Thermodynamics, Kinetics, Applications (CRC Press, 1999), p.310.

[12] W. T. Read, W. Shockley, Phys. Review Vol. 28 (1950), p.275.

[13] D. Mattissen, PhD Thesis, RWTH Aachen, Shaker Verlag, Aachen, (2004).

[14] J. H. van der Merwe, Proc. Phys. Soc Vol. A63 (1950), p.616.