An edge dislocation is a fundamental type of crystallographic defect. It can be visualized as an extra half-plane of atoms inserted into a crystal structure.
The line vector, typically represented as `l`, indicates the direction along which the dislocation exists within the crystal lattice.
The Burgers vector, denoted by `b`, quantifies the lattice distortion. It is determined by tracing a closed loop around the dislocation and measuring the closure failure in a perfect crystal.
A key characteristic of an edge dislocation is the geometric relationship between its line vector and its Burgers vector. In an edge dislocation, the Burgers vector is always perpendicular to the direction of the dislocation line.
Since the Burgers vector `b` is perpendicular to the line vector `l` in an edge dislocation, the angle between them is necessarily $90^\circ$.
Angle = $90^\circ$
The Burger's vector of a dislocation in a cubic crystal (with lattice parameter a) is $\frac{a}{2}[110]$ and dislocation line is along $[112]$ direction. The angle (in degrees) between the dislocation line and its Burger's vector is _________