Question

Calculate Burgers vectors for the following elements:

Fe 0.124 nm

Ti 0.145 nm

Al 0.143 nm

Cu 0.128 nm

Zn 0.133 nm

For 0.01 mm movement, how many Dislocations are needed?

Answer 1

It’s assumed that the crystal lattice of given atoms is either of BCC or FCC. The magnitude of lattice distortion, Burgers vector, b, in these lattices is usually represented by the following equation:

b = a/2(sqrt 3) where a = unit cell edge length

For Fe

given a = 0.124 nm

and b = 0.124/2 (sqrt 3)

          = 0.062 x 1.73205081

           = 0.10738715 nm

         = 0.107 nm

Burgers vector for Fe is 0.107 nm.

Similarly for other atoms Burgers vector can be calculated as shown above and the results are given below:

Burgers vector for Ti = 0.125 nm

Burgers vector for Al = 0.124 nm

Burgers vector for Cu = 0.111 nm

Burgers vector for Zn = 0.115 nm