Burgers vector

From Wikipedia, the free encyclopedia

The Burgers vector, often denoted by b, is a vector that represents the magnitude and direction of the lattice distortion of dislocation in a crystal lattice.[1] The direction of the vector depends on the plane of dislocation, which is usually on the closest-packed plane of unit cell. The magnitude is usually represented by equation:

\|\mathbf{b}\|\ = \textstyle\frac{a}{2}\sqrt{h^2+k^2+l^2}

where a unit cell length of the crystal, ||b|| is the magnitude of Burgers vector and h, k, and l are the components of Burgers vector, b = . In most metallic materials, the magnitude of the Burgers vector for a dislocation is of a magnitude equal to the interatomic spacing of the material, since a single dislocation will offset the crystal lattice by one close-packed crystallographic spacing unit.

In edge dislocations, the Burgers vector and dislocation line are at right angles to one another. In screw dislocations, they are parallel.

Figure 1: An edge-dislocation (b = Burgers vector)
Figure 1: An edge-dislocation (b = Burgers vector)

The Burgers Vector is significant in determining the strength of a material. As it affects solute hardening, precipitation hardening and work hardening, all of which affect yield strength.


  1. ^ Callister, William D. Jr. "Fundamentals of Materials Science and Engineering." John Wiley & Sons, Inc. Danvers, MA. (2005)
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