Nickel (Ni) single crystal turbine blades burn less fuel at higher temperatures because blades are grown on [111] closed packed direction. Nickel (Ni) at 20C is FCC, and has an atomic radius, R, of 0.125 nm.

Draw a reduced-sphere unit cell for this crystal and draw and label the vector [111], starting from the origin (0, 0, 0).

1. Calculate the length of the vector [111] in nanometers.
2. Calculate the linear density of Nickel in the [1 1 1] direction in [atom/nm].