Problem2: Suppose identical solid spheres are distributed through space in such a way that
their centers are placed on the lattice points of simple cubic (sc), body centered cubic
(bcc), face centered cubic (fcc), and diamond structures, and spheres on neighboring
points just touch, without overlapping.
2) a) Determine the percentage of total unit cell volume that is occupied in bcc, and
diamond structures? (2 points)
b) What is the plane with the highest surface atom density in fcc structure? Calculate
the surface atom density of this plane. (2 points)
c) The lattice constant of diamond lattice is 5.43 A. Determine the distance between
the nearest parallel a) (01-1) and b) (1-11) planes? (2 points)
d) Sketch the (-2-01) plane and [-2-10] direction in a face center cubic, fcc, structure.
(2 points)