Abstract
The surface energy of MgO is determined using experimental data collected from equilibrated thermal grooves circumscribing island grains. Local equilibrium assumptions at each groove require that the Herring equations be satisfied at each data site, thereby yielding a large and overdetermined system of equations involving the surface energy γ. This inverse problem is then solved using a new technique that is statistical in nature and multiscale in implementation. The resulting discrete solution represents a statistically significant representation of the surface energy of MgO as a function of surface orientation. Comparisons to results derived from a more traditional approach, along with suggested further applications, are discussed.
Similar content being viewed by others
References
D.M. Saylor and G.S. Rohrer, J. Amer. Cer. Soc. 82, 1529 (1999).
C. Herring, Physical Review 1, 87 (1951).
C. Herring, in The Physics of Power Metallurgy (McGraw-Hill Book Company, New York, NY, 1951), p. 143.
D.M. Saylor, D.E. Mason, and G.S. Rohrer, J. Amer. Cer. Soc. 83, 1226 (1999).
M. McLean and B. Gale, Philosophical Magazine 20, 1033 (1969).
M. McLean and B. Gale, An analysis of surface energy anisotropy data harmonics. Philosophical Magazine A 25, 947 (1971).
B.L. Adams, S. Costiner, D. Kinderlehrer, S. Ta'asan, and W.W. Mullins, Extracting the grain-boundary character/free-energy relationship from the microstructure: pure <100> and <111> tilt boundaries, Polycrystalline Thin Films-Structure, Texture, Properties and Applications III, edited by Yalisove et al. (special issue), MRS 472, 105 (1997).
B.L. Adams, S. Costiner, D. Kinderlehrer, S. Ta'asan, and W.W. Mullins, Scripta materelia 38(4), 531 (1998).
B.L. Adams, D. Kinderlehrer, I. Livshits, D.E. Mason, W.W. Mullins, G.S. Rohrer, A.D. Rollett, D. Saylor, S. Ta'asan, and C.T. Wu, Interface Science 7, 321 (1999).
Brent L. Adams, C.L. Bauer, David El-Dasher B. Casasent, D. Kinderlehrer, I. Livshits, F. Manolache, D.E. Mason, A. Morawiec, W.W. Mullins, S. Ozdemir, H. Rogan, G.S. Rohrer, A.D. Rollett, D. Saylor, S. Ta'asan, C.-T. Talukder, C.T. Wu, C.-C. Yang, and W. Yang, in Proc. 12th International Conference on Textures of Materials (ICOTOM), edited by J.A. Szpunar (Montreal, Canada, 1999), p. 9.
S. Kaczmarz, Bulletin of the International Acadame Polonaise des Sciences A 355 (1937).
K. Tanabe, Numerical Mathematics 17, 203 (1971).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kinderlehrer, D., Ta'asan, S., Livshits, I. et al. The Surface Energy of MgO: Multiscale Reconstruction from Thermal Groove Geometry. Interface Science 10, 233–242 (2002). https://doi.org/10.1023/A:1015836532734
Issue Date:
DOI: https://doi.org/10.1023/A:1015836532734