Abstract
The absolute grain boundary energies of {011} tilt boundaries in bismuth at a temperature very near the melting point were measured over the range of misorientations 0.5° to 14.5°. A study of the structure of these boundaries was extended as far as 27°. The results at small tilt angles (θ≤6°) can be described accurately in terms of a heterophase dislocation model. This model also correctly predicts the grain boundary energies of [001] tilt boundaries in copper near the melting point, again for tilt angles less than about 6°. The heterophase dislocation model is unique, inasmuch as it permits the calculation of absolute grain boundary energies in terms of usually available thermodynamic and elastic quantities and a simple macroscopic parameter related to the boundary structure. In addition, the theory provides a basis for interpreting the structural transition observed in bismuth tilt boundaries at intermediate misorientations (θ=15°). Finally, the failure of current theories to predict the correct energy-misorientation dependence over a wide range of misorientations is ascribed to linear and nonlinear interactions among the misfit dislocations—interactions which increase rapidly in importance for misorientations above about 5°. For a quantitative description of the energetic behavior of higher angle grain boundaries than are treated at present, a theory which accounts for such interactions appears to be required.
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© 1972 American Institute of Mining, Metallurgical and Petroleum Engineers, Inc.
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Vold, C.L., Glicksman, M.E. (1972). Behavior of Grain Boundaries Near the Melting Point. In: Hu, H. (eds) The Nature and Behavior of Grain Boundaries. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-0181-4_7
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DOI: https://doi.org/10.1007/978-1-4757-0181-4_7
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