Table 1 Basal and prismatic orientation relations for fcc–hcp and the Burgers orientation relation for bcc–hcp PTs.

From: Allotropy in ultra high strength materials

Type

Orientation relation

Basal

\({\left\{111\right\}}_{{{{{{{{\rm{fcc}}}}}}}}}\parallel {\left\{0001\right\}}_{{{{{{{{\rm{hcp}}}}}}}}}\)

\({\left\langle 1\overline{1}0\right\rangle }_{{{{{{{{\rm{fcc}}}}}}}}}\parallel {\left\langle 11\overline{2}0\right\rangle }_{{{{{{{{\rm{hcp}}}}}}}}}\)

Prismatic

\({\left\{1\overline{1}0\right\}}_{{{{{{{{\rm{fcc}}}}}}}}}\parallel {\left\{10\overline{1}0\right\}}_{{{{{{{{\rm{hcp}}}}}}}}}\)

\({\left\langle 001\right\rangle }_{{{{{{{{\rm{fcc}}}}}}}}}\parallel {\left\langle 0001\right\rangle }_{{{{{{{{\rm{hcp}}}}}}}}}\)

Burgers

\({\left\{110\right\}}_{{{{{{{{\rm{bcc}}}}}}}}}\parallel {\left\{0001\right\}}_{{{{{{{{\rm{hcp}}}}}}}}}\)

\({\left\langle \overline{1}11\right\rangle }_{{{{{{{{\rm{bcc}}}}}}}}}\parallel {\left\langle \overline{2}110\right\rangle }_{{{{{{{{\rm{hcp}}}}}}}}}\)