a. Pick one arbitrary atom position in an fcc structure as origin with coordinate (000). This atom has 12 nearest neighbors. List the coordinates of all 12 nearest neighbor positions.
b. Diffusive jumps of the atom at the origin will be made to one of its nearest neighbor positions. List all 12 lattice translation vectors defined by these nearest neighbor atom jumps.
c. Are all the lattice translation vectors listed in b) symmetry equivalent? If yes, what is the type of lattice translation (i.e., )
d. Consider a single crystal of fcc Ni oriented such that a tensite stress is applied along a [oo1] direction. If slip occurs on the (111) plane and in the [1,0,1bar] direction, and is initiated at an applied stress of 16.0 MPa, compute the critical resolved shear stress
e. Based on your calculations, what would be the magnitude of stress to initiate the same (111) [1,0,1 bar] slip if the tensile stress is applied along the [010] direction?