Electron microscopy
 
Tables of Burgers Vectors of Defects in Hexagonal Structures
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Table 1812a lists the standard analysis of g·b for relevant reflections in electron diffraction (ED) patterns for hexagonal crystal structure for perfect dislocations. In most cases, the reflections show strong contrast, while they give weak or residual contrasts in some cases.

Table 1812a. Standard analysis of g·b for relevant reflections in the hexagonal crystal structure for perfect dislocations. Here, w for weak contrast, r for residual contrast, and 0 for invisible contrast.

   
b (×1/3)
g   ±[1 1 -2 0] ±[1 -2 1 0] ±[-2 1 1 0] ±[11-23] ±[0 0 0 3] ±[-1 -1 2 3] ±[-1 2 -1 3] ±[2 -1 -1 3] ±[-1 -1 - 2 3] ±[-1 2 -1 -3] ±[2 -1 -1 -3]
1 0 -1 0 g·b ±1 0 ±1 ±1 0 ±1 0 ±1 ±3 0 ±1
0 1 -1 0 ±1 ±1 (r) 0 ±1 0 ±1 ±1 0 ±1 ±1 0
-1 1 0 0 0 ±1 ±1 0 0 0 ±1 ±1 0 ±1 ±1
   
0 0 0 2 0 0 0 ±2 ±2 ±2 ±2 ±2 ±6 ±2 ±2
   
0 -1 1 -1 ±1 ±1 0 ±2 ±1 0 ±2 ±1 ±4 0 ±1
0 -1 1 1 ±1 ±1 0 0 ±1 ±2 0 ±1 ±2 ±2 ±1
1 0 -1 1 ±1 0 ±1 ±2 ±1 0 ±1 ±2 ±4 ±1 0
1 0-1-1 ±1 0 ±1 0 ±1 ±2 ±1 0 ±2 ±1 ±2
-1 1 0 1 0 ±1 ±1 ±1 ±1 ±1 ±2 0 ±3 0 ±2
-1-10-1 0 ±1 ±1 ±1 ±1 ±1 0 ±2 ±1 ±2 0
   
1 1-2 0 ±2 ±1 ±1 ±2 0 ±2 ±1 ±1 ±2 ±1 ±1
0 1-1-2 ±1 ±1 0 ±1 ±2 ±3 ±1 ±2 ±5 ±3 ±2
-1 1 0 2 0 ±1 ±1 ±2 ±2 ±2 ±3 ±1 ±6 ±1 ±3
0 1-1 2 ±1 ±1 0 ±3 ±2 ±1 ±3 ±2 ±7 ±1 ±2
1 0-1 2 ±1 0 ±1 ±3 ±2 ±1 ±2 ±3 ±7 ±2 ±1
1 0-1-2 ±1 0 ±1 ±1 ±2 ±3 ±2 ±1 5 ±2 ±3
1 -1 0 2 0 ±1 (w) ±1 6 ±2 ±2 ±1 ±3 ±6 ±3 ±1
-1 2-1 0 ±1 ±2 ±1 ±1 0 ±1 ±2 ±1 1 ±2 ±1
   
-2 1 0 0 ±1 ±1 ±2 ±1 0 ±1 ±1 ±2 2 ±1 ±2
   
1 0-1 3 ±1 0 ±1 ±4 ±3 ±2 ±3 ±4 10 ±3 ±2
1 0-1-3 ±1 0 ±1 ±2 ±3 ±4 ±3 ±2 8 ±3 ±4
0 1-1 3 ±1 ±1 0 ±4 ±3 ±2 ±4 ±3 10 ±4 ±3
0 1-1-3 ±1 ±1 0 ±2 ±3 ±4 ±2 ±3 8 ±2 ±3
-1 1 0 3 0 ±1 ±1 ±3 ±3 ±3 ±4 ±2 9 ±4 ±4
-1 1 0-3 0 ±1 ±1 ±3 ±3 ±3 ±2 ±4 9 ±2 ±2
   
2 0 -2 0 ±2 0 ±2 6 0 ±2 0 ±2 ±2 0 ±2
0 2 -2 0 ±2 ±2 0 6 0 ±2 ±2 0 ±2 ±2 0
2 -2 0 0 0 ±2 ±2 0 0 0 ±2 ±2 0 ±2 ±2
   
1 1-2 2 ±2 ±1 ±2 ±4 ±2 0 ±3 ±3 8 ±1 ±1
1 1-2-2 ±2 ±1 ±1 0 ±2 ±4 ±1 ±1 4 ±3 ±3
-1 2 -12 ±1 ±2 ±1 ±3 ±2 ±1 ±4 ±1 7 0 ±3
-12-1-2 ±1 ±2 ±1 ±1 ±2 ±3 0 ±3 5 0 ±1
-2 1 1 2 ±1 ±1 ±2 ±1 ±2 ±3 ±3 0 5 ±3 ±4
-2 1 1-2 ±1 ±1 ±2 ±3 ±2 ±1 ±1 ±4 7 ±1 0
   
1 -3 2 0 ±2 ±3 ±1 6 0 ±2 ±3 ±1 ±2 ±3 ±1
   
6 -3 -3 0 ±3 ±3 ±6 9 0 ±3 ±3 ±6 ±1 ±3 ±6
-3 6 -3 0 ±3 ±6 ±3 9 0 ±3 ±6 ±3 ±1 ±6 ±3
-3 -3 6 0 ±6 ±3 ±3 18 0 ±6 ±3 ±3 ±2 ±3 ±3

Table 1812b. Standard analysis of g·b for relevant reflections in the hexagonal crystal structure for Frank partial dislocations.

   
b (×1/6)
g   [0003] [02-23]
0 0 0 1 g·b 1/2 1/2
-2 1 1 0 0 0
0 1 -1 0 0 2/3

Table 1812c. Standard analysis of g·b for relevant reflections in the hexagonal crystal structure for Shockley partial dislocations.

   
b (×1/3)
g  

[01-10]

0 0 0 1 g·b 0
-2 1 1 0 0
0 1-1 0 2/3

Table 1812d. Magnitudes of Burgers vectors of dislocations in hexagonal nitride semiconductors (in Å).

Burgers vectors
InN
AlN
GaN
a = 1/3 <1 -2 1 0>
3.545
3.111
3.186
c = [0 0 0 1]
5.703
4.979
5.178
c + a = 1/3 <1 1 -2 3>
6.715
5.871
6.080

 

 

 

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