Chapter 4, Problem 4.21P

Interpretation Introduction

Interpretation:

The relationship between the Burger's vector oreintation and the dislocation axis for edge dislocations and screw dislocations needs to be explained.

Concept Introduction:

The burgers vector is a vector in material science, and it is denoted by b representing the magnitude as well as direction of the distortion of lattice due to dislocation in a crystal lattice. On visualizing the crystal structure before the dislocation, the magnitude and direction of vector can be understood better. This is known as the perfect crystal structure. Depending on the plane of dislocation, the direction of the vector is decided, and the magnitude is calculated as follows:

  $\Vert b\Vert =\left(\frac{a}{2}\right)\sqrt{h^2+k^2+l^2}$

Here, a is edge length and h, k, and l are Burgers vector's components.