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Crystallography of the Simple HCP/FCC System

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Abstract

The edge-to-edge matching model has been used to predict the orientation relationships (ORs) between crystals that have simple hexagonal-close-packed (HCP) and face-centered-cubic (FCC) structures. Using the critical values for the interatomic spacing misfit along the matching directions and the d-value mismatch between matching planes, a total of seven ORs have been predicted for the most common HCP/FCC metallic systems. However, the ORs that appear more frequently in a particular system depend on the type of matching directions and the interatomic spacing misfit along these directions together with the d-value mismatch between the matching planes. The latter two are related to the lattice parameters of both phases. For example, in the Al/Ag2Al system, three ORs have been predicted. One is \( {\left[ {11\ifmmode\expandafter\bar\else\expandafter\=\fi{2}0} \right]}_{\gamma } //{\left[ {110} \right]}_{\alpha } \), (0002) γ 0.027 deg from\( {\left( {\ifmmode\expandafter\bar\else\expandafter\=\fi{1}11} \right)}_{\alpha } \), which is consistent with the previously reported OR-1. The second is \( {\left[ {11\ifmmode\expandafter\bar\else\expandafter\=\fi{2}0} \right]}_{\gamma } //{\left[ {110} \right]}_{\alpha } ,\,{\left( {1\ifmmode\expandafter\bar\else\expandafter\=\fi{1}01} \right)}_{\gamma }\;0.8\,\deg \) from \( {\left( {\ifmmode\expandafter\bar\else\expandafter\=\fi{1}11} \right)}_{\alpha } \). Due to the larger mismatch values, this OR is not expected to occur frequently and has not been found experimentally to date. Another predicted OR is \( {\left[ {10\ifmmode\expandafter\bar\else\expandafter\=\fi{1}0} \right]}_{\gamma } ||{\left[ {112} \right]}_{\alpha } ,\,{\left( {1\ifmmode\expandafter\bar\else\expandafter\=\fi{2}10} \right)}_{\gamma } 0.25\deg \) from \( {\left( {\ifmmode\expandafter\bar\else\expandafter\=\fi{2}20} \right)}_{\alpha } \). This OR is very close to the reported OR-1. Details of zigzag atom row matching and the principles and process of refining an OR using the Δg conditions are also discussed.

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Acknowledgments

The authors are grateful to an Australian Research Council (ARC) Discovery Project for financial support.

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Author notes

  1. H.-P. Ren (Visiting Scholar, Professor)

    Present address: School of Materials Science and Engineering, Inner Mongolian University of Science and Technology, Baotou, 014010, P.R. China

Authors and Affiliations

  1. Division of Materials, School of Engineering, University of Queensland, St Lucia, QLD, 4072, Australia

    M.-X. Zhang (Senior Lecturer), S.-Q. Chen (Postdoctoral Research Fellow, Research Scientist), H.-P. Ren (Visiting Scholar, Professor) & P.M. Kelly (Honorary Professor)

  2. CSIRO, Colling-Wood, Brisbane, QLD, 4072, Australia

    S.-Q. Chen (Postdoctoral Research Fellow, Research Scientist)

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  1. M.-X. Zhang
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  2. S.-Q. Chen
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Correspondence to M.-X. Zhang.

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Manuscript submitted May 24, 2007.

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Zhang, MX., Chen, SQ., Ren, HP. et al. Crystallography of the Simple HCP/FCC System. Metall Mater Trans A 39, 1077–1086 (2008). https://doi.org/10.1007/s11661-008-9497-2

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