What are the families of crystal directions and planes? What are the closest packed crystalline direction and plane of BCC and FCC?

a) What is atomic packing factor? What is the effect of the atomic packing factor on material's properties, Calculate the atomic packing factor of SC, FCC, BCC and HC and give some metal elements as examples for each crystal structure   b) Which crystal planes and directions are most favourable for slip in materials having FCC structure

B. What is the coordination # of cesium chloride ceramic structure? which metallic crystal structure that the arrangement of this cation-anion look like? which parameters stabilize ceramics' structure? Will cations will take an octahedral or cubic position and why? When the cation/anion radius ratio approaches 1, what does that mean?

What is the coordination number for atoms in the HCP structure? How does this compare to the coordination number for FCC? How would you expect HCP and FCC to compare in terms of APF? Which would be greater? (or would they be the same?)

Draw the following crystalline planes in a separate unit cell:

If the atomic radius for Pb- 0.175nm and the crystal structure is FCC, calculate the atoms numbers in the unit cell, find the relation between atomic radius and lattice constant and what is the atomic packing factor

B: Draw the crystal atomic directions with following Miller indices. {011}, {110}, {012}. {123}, {222}.

5. Calculate Phkl for the (100), (110), and (111) planes of a monoatomic fcc crystal.