Tables of Burgers Vectors of Dislocations
- Practical Electron Microscopy and Database -
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In general, in order to create a perfect dislocation in a crystal, the Burgers vector has to be a lattice vector, connecting equivalent lattice points (e.g. for CsCl it can be <100> but cannot be 1/2<111>, and for NaCl it can be 1/2<110> but cannot be 1/2<100>). The energy of the dislocation is usually proportional to the square of its Burgers vector. Therefore, in most crystal structures, only the dislocations with the Burgers vectors corresponding to the shortest lattice vectors are energetically stable, while the dislocations with Burgers vectors of multiple perfect Burgers vectors are unstable.

Table 1995a. Burgers vectors (b) of perfect and partial dislocations in body centered tetragonal (bct) structure on (111) planes.

 Direction of c axis Perfect [1 0 0] [0 1 0] [0 0 1] 1/2[2 -1 -1] 1/2[-1 2 -1] 1/2[-1 -1 2] [0 -1 1] [1 0 -1] [-1 1 0] [-2 2 0] [0 -2 2] [2 0 -2] [2 0 -2] [-2 2 0] [0 -2 2] [-2 4 -2] [4 -2 -2] [-2 4 -2] [-2 -2 4] [-2 -2 4] [4 -2 -2] Partial 1/6[-2 1 1] 1/6[1 -2 1] 1/6[1 1 -2] 1/3[2 -1 -1] 1/3[-1 2 -1] 1/3[-1 -1 2] 2/3[1 -2 1] 2/3[1 -2 1] 2/3[1 -2 1] 2/3[-2 1 1] 2/3[-2 1 1] 2/3[-2 1 1] 2/3[1 1 -2] 2/3[1 1 -2] 2/3[1 1 -2]

Table 1995b. Other characteristics of Burgers vectors.

 Characteristics Tables of Burgers vectors of defects in FCC structure page1815 Tables of Burgers vectors of defects in hexagonal structures page1812 Dominating slip planes, slip directions and stable Burgers vector for common crystal structures page3557

[1] G. Thomas and M. J. Goringe: Transmission Electron Microscopy of Materials (Wiley–Interscience, New York 1979).

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