3. (**This question would be graded) A single crystal gold nanosized cube has edge size of 80nm as shown. The nanocube's edges are parallel to crystal lattice vectors of a1, a2, and a3, as shown. Inside this gold nanocube, there is a single dislocation ABCD with Burgers vector b = [110]a/2. (1) Determine the dislocation density in this nanocube. (2) Determine the types (i.e., edge, screw, or mixed) for each of the three dislocation segments AB, BC, and CD. Here, the dislocation sense vector is defined to be consistent with along A→B. (3) Determine the slip planes for each of the three dislocation segments AB, BC, and CD. лаз 3 a2 Z a 1 ४ B y