The dislocation structures of vicinal grain boundaries, Σ = 5 [001](310)A and Σ = 3 [101], were described. A method was proposed for the theoretical prediction of grain boundary dislocation structures in boundaries ranging from Σ = 3 to Σ = 11 (table 30). It exploited analogies with basic DSC vector configurations that existed between these cases and other low-Σ boundaries.

On the Possibility of Predicting the Dislocation Structures of Low-Σ Symmetrical Grain Boundaries. A.Gemperle, T.Vystavel, J.Gemperlová: Materials Science Forum, 1999, 294-296, 393-6

 

Table 30

Predicted Dislocation Structures for Various Interfaces

 

Boundary

Plane

S1#

S2##

Σ = 3 [101] 70.53º

(11¯1)A, bcc

3 pure screw a/3<112>

pure edge a/6[11¯1]

Σ = 3 [101] 70.53º

(11¯1)A, fcc

3 pure screw a/6<112>

pure edge a/3[11¯1]

Σ = 3 [101] 70.53º

(1¯2¯1)A, bcc

pure edge a/3[1¯2¯1]a

pure screw a/6[11¯1]

Σ = 3 [101] 70.53º

(1¯2¯1)A, fcc

pure edge a/6[1¯2¯1]b

pure screw a/3[11¯1]

Σ = 5 [001] 36.87º

(310)A, bcc

mainly edge a/5[210]c

mainly screw a/5[1¯20]

Σ = 5 [001] 36.87º

(310)A, fcc

pure screw a/10[¯130]d

pure edge a/10[310]

Σ = 7 [111] 38.21º

(3¯2¯1)A, bcc

pure edge a/7[3¯2¯1]e

pure screw a/14[35¯1]

Σ = 7 [111] 38.21º

(3¯2¯1)A, fcc

pure edge a/14[3¯2¯1]f

pure screw a/14[563]

Σ = 11 [101] 50.48º

(¯131)A, bcc

pure screw a/11[32¯3]g

pure edge a/22[¯131]

Σ = 11 [101] 50.48º

(¯131)A, fcc

pure screw a/22[32¯3]h

pure edge a/11[¯131]

Σ = 11 [101] 50.48º

(32¯3)A, bcc

pure edge a/11[32¯3]i

pure screw a/22[¯131]

Σ = 11 [101] 50.48º

(32¯3)A, fcc

pure edge a/22[32¯3]j

pure screw a/11[¯131]

 

# set of dislocations forming hexagonal net, ## independent set of parallel dislocations, a: plus 2 mainly screw a/3<112>, b: plus 2 mainly screw a/6<112>, c: plus 2 mainly screw a/10<531>, d: plus 2 mainly screw a/10<521>, e: plus 2 mainly screw a/7<321>, f: plus 2 mainly screw a/14<321>, g: plus 2 pure screw a/11<714>, h: plus 2 pure screw a/22<714>, i: plus 2 mainly screw a/11<714>, j: plus 2 mainly screw a/22<714>