Where ρ is the edge dislocation density, Σ is the total length of dislocations per unit area, b is the magnitude of the Burgers vector, h is the interplanar spacing of the diffracting planes, and π is the mathematical constant pi.
Assuming that we know the interplanar spacing of the (10-12) diffracting planes, we can rearrange the equation to solve for the Burgers vector:
b = 2πhρ/Σ
So, to determine the magnitude of the Burgers vector, we need to measure the edge dislocation density using (10-12) XRC and the total length of dislocations per unit area in the material. We can then plug these values into the equation above to calculate the magnitude of the Burgers vector.