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. 2017 Jul 14;10(7):800. doi: 10.3390/ma10070800

Table 3.

The 24 variants for the K-S orientation relationship (V1–V24).

Variant Parallel Plane Parallel Direction Rotation Axis in V1 Rotation Angle (deg)
V1 (111)γ//(011)α [1¯01]γ//[1¯1¯1]α
V2 (111)γ//(011)α [1¯01]γ//[1¯11¯ [0.58 −0.58 0.58] 60.00
V3 (111)γ//(011)α [011¯]γ//[1¯1¯1]α [0.00 −0.71 −0.71] 60.00
V4 (111)γ//(011)α [011¯]γ//[1¯11¯ [0.00 0.71 0.71] 10.53
V5 (111)γ//(011)α [11¯0]γ//[1¯1¯1]α [0.00 0.71 0.71] 60.00
V6 (111)γ//(011)α [11¯0]γ//[1¯11¯ [0.00 −0.71 −0.71] 49.47
V7 (11¯1)γ//(011)α [101¯]γ//[1¯1¯1]α [−0.58 −0.58 0.58] 49.47
V8 (11¯1)γ//(011)α [101¯]γ//[1¯11¯ [0.58 −0.58 0.58] 10.53
V9 (11¯1)γ//(011)α [1¯1¯0]γ//[1¯1¯1]α [−0.19 0.77 0.61] 50.51
V10 (11¯1)γ//(011)α [1¯1¯0]γ//[1¯11¯ [−0.49 −0.46 0.74] 50.51
V11 (11¯1)γ//(011)α [011]γ//[1¯1¯1]α [0.35 −0.93 −0.07] 14.88
V12 (11¯1)γ//(011)α [011]γ//[1¯11¯ [0.36 −0.71 0.60] 57.21
V13 (1¯11)γ//(011)α [01¯1]γ//[1¯1¯1]α [0.93 0.35 0.07] 14.88
V14 (1¯11)γ//(011)α [01¯1]γ//[1¯11¯ [0.74 0.46 −0.49] 50.51
V15 (1¯11)γ//(011)α [1¯01¯]γ//[1¯1¯1]α [−0.25 −0.63 −0.74] 57.21
V16 (1¯11)γ//(011)α [1¯01¯]γ//[1¯11¯ [0.66 0.66 0.36] 20.61
V17 (1¯11)γ//(011)α [110]γ//[1¯1¯1]α [−0.66 0.36 −0.66] 51.73
V18 (1¯11)γ//(011)α [110]γ//[1¯11¯ [−0.30 −0.63 −0.72] 47.11
V19 (111¯)γ//(011)α [1¯10]γ//[1¯1¯1]α [−0.61 0.19 −0.77] 50.51
V20 (111¯)γ//(011)α [1¯10]γ//[1¯11¯ [−0.36 −0.60 −0.71] 57.21
V21 (111¯)γ//(011)α [01¯1¯]γ//[1¯1¯1]α [0.96 0.00 −0.30] 20.61
V22 (111¯)γ//(011)α [01¯1¯]γ//[1¯11¯ [−0.72 0.30 −0.63] 47.11
V23 (111¯)γ//(011)α [101]γ//[1¯1¯1]α [−0.74 −0.25 0.63] 57.21
V24 (111¯)γ//(011)α [101]γ//[1¯11¯ [0.91 −0.41 0.00] 21.06