Abstract
Coincidence concepts, commonly used in treating the structures of grain boundaries in cubic metals, are used to develop coincidence structural-unit models for grain boundaries in hcp metals. In doing this the concept of coincidence is extended to one of near- coincidence, in which the shared atoms at the boundary need not occupy exact coincidence sites but instead occupy compromise positions between two nearly coincidence lattice sites. This extension allows one to define near-coincidence-site lattices (near-CSL’s) from which are derived short-period near-coincidence structural units. Exact and near-CSL’s in the common hcp metals are tabulated for rotations about [0001], <1010>, and <1120>, and short-period coincidence structural units are presented. Geometric models of a variety of symmetric and asymmetric <1010> tilt boundaries are developed as examples to show how a relatively few coincidence structural units are combined in the structures of both simple and complex boundaries. Although hcp boundaries are treated here, the approach is quite general and can be applied to any crystal structure.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. Hargreaves and R. J. Hills, J. Inst. Met. 41, 257 (1929).
M. L. Kronberg and F. H. Wilson, Trans. AIME 185, 501 (1949).
K. T. Aust and J. W. Rutter, in Recovery and Recrvstallization of Metals, ed. by L. Himmel, Interscience (1963), p.131.
J. W. Rutter and K. T. Aust, Acta Met. 13, 181 (1965).
B. B. Rath and Hsun Hu, Trans.TMS-AIME 236, 1193 (1966).
K. T. Aust and J. W. Rutter, Trans. TMS-AIME 218, 1023 (1960).
K. T. Aust, Trans. TMS-AIME 221, 758 (1961).
K.T. Aust. in Surfaces and Interfaces I, Proceedings of the 13th Army Materials Research Conference, ed. by Burke et al., Syracuse Univ. Press (1967), p. 435.
D. G. Brandon, B. Ralph, S. Ranganathan, and M. S. Wald, Acta Met. 12, 813 (1964).
D. G. Brandon, Acta Met. 14, 1479 (1966).
G. H. Bishop and B. Chalmers, Scripta Met. 2, 133 (1968).
G. H. Bishop and B. Chalmers, Phil. Mag. 24, 515 (1971).
B. Chalmers and H. Gleiter, Phil. Mag. 23, 1541 (1971).
H. Gleiter, Phys. Stat. Sol. (b) 45, 9 (1971).
W. T. Read and W. Shockley, Phys. Rev. 78, 275 (1950).
W. Bollmann, Crystal Defects and Crystal Interfaces, Springer-Verlag, New York, Heidelberg and Berlin (1970), p.209.
T. Schober and R. W. Balluffi, Phil. Mag. 21, 109 (1970).
T. Schober and R. W. Balluffi, Phys. Stat. Sol. (b). 44, 103 (1971).
M. Weins, H. Glieter, and B. Chalmers, J. Appl. Phys. 42, 2639 (1971).
G. H. Bishop and G. A. Bruggeman, J. of Mat. Sci. (in press).
G. C. Hasson, J. B. Guillot, B. Baroux and C. Goux, Phys. Stat. Sol. (a) 2, 551 (1970).
P. H. Pumphrey and K. M. Bowkett, Scripta Met. 5, 365 (1971).
S. Ranganathan, Acta Cryst. 21, 197 (1966).
G. A. Bruggeman, G. H. Bishop and W. H. Hartt, “Coincidence Structural-Unit Models for Grain Boundaries” AMMRC TR 72–7, February 1972.
G. H. Bishop, W. H. Hartt and G. A. Bruggeman, Acta Met. 19, 37 (1971).
W. H. Hartt, G. H. Bishop, and G. A. Bruggeman, J. of Metals 21, 124 A (1969).
B. Loberg, H. Norden, and D. A. Smith, Phil. Mag. 24, 897 (1971).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1972 American Institute of Mining, Metallurgical and Petroleum Engineers, Inc.
About this chapter
Cite this chapter
Bruggeman, G.A., Bishop, G.H., Hartt, W.H. (1972). Coincidence and Near-Coincidence Grain Boundaries in HCP Metals. 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_4
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0181-4_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-0183-8
Online ISBN: 978-1-4757-0181-4
eBook Packages: Springer Book Archive