Fig. 5: Schematic of the model for simulating semicoherent α/β interfaces.
From: Coherent and semicoherent α/β interfaces in titanium: structure, thermodynamics, migration
The coordinate system (e1, e2, e3) is attached to the mean interface plane (habit plane); e3 is the habit plane normal and e1 and e2 are parallel to the habit plane. The coordinate system \(({{{{\bf{e}}}}}_{1},{{{{\bf{e}}}}}_{{2}^{{\prime} }},{{{{\bf{e}}}}}_{{3}^{{\prime} }})\) is attached to the coherent interface plane. The blue lines depict the interface profile; the yellow regions denote the coherent interface terraces. The red lines parallel to the e1-axis represent the disconnections with step height hs; the red line parallel to the e2-axis is a misfit dislocation with zero step height. ϕ is the inclination angle of the interface plane (habit plane) with respect to the coherent interface plane. θ is the rotation angle of α about the e1-axis with respect to α in the coherent interface model (i.e., the red lattice in Fig. 2).
