Torques on Singular Surfaces.
Abstract
The concepts involved in expressing the surface torques on singular surfaces which correspond to cusps in the gamma-plot of surface energy versus surface inclination are clarified and extended. For equilibrium morphologies formed by faceting, it is demonstrated that the torque displayed by a singular surface is a property of the particular state of interfacial equilibrium in which the torque is measured. The magnitude of the effective torque will in general lie between the limiting values of the angular derivatives at the cusp corresponding to the singular surface on the appropriate two-dimensional section through the gamma-plot (the gamma sub 2-plot). An extension of a construction due to Gjostein is presented by which the effective torques may be obtained for equilibrium morphologies resulting from linear faceting when the shape of the gamma sub 2-plot is known. This is illustrated with several examples involving singular surfaces, including that of faceted <10(-1)0> grain boundaries in zinc. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1971
- Accession Number
- AD0733303
Entities
People
- George H. Bishop Jr.
- Gordon A. Bruggeman
Organizations
- United States Army Research Laboratory