Derive planar density expressions for bcc

Q:Determine the Miller indices for the planes shown in the following unit cell:Q:Cite the indices of the direction that results from the intersection of each of the following pair of planes within a cubic crystal: (a) (100) andQ:Sketch the atomic packing of (a) the (100) plane for the BCC crystal structure, and (b) the (201) plane for the FCC crystal structure.Q:Consider the reduced-sphere unit cell shown in Problem 3.20, having an origin of the coordinate system positioned at the atom labeled with an O. ForQ:Here are shown the atomic packing schemes for several different crystallographic directions for some hypothetical metal. For each direction theQ:Below are shown three different crystallographic planes for a unit cell of some hypothetical metal. The circles represent atoms:(a) To what crystalQ:Convert the (010) and (101) planes into the four-index Miller-Bravais scheme for hexagonal unit cells.Q:Show that the atomic packing factor for BCC is 0.68.Q:Determine the indices for the planes shown in the hexagonal unit cells below:Q:Sketch the (11 01) and (112 0) planes in a hexagonal unit cell.Q:(a) Derive linear density expressions for FCC [100] and [111] directions in terms of the atomic radius R. (b) Compute and compare linear densityQ:(a) Derive linear density expressions for BCC [110] and [111] directions in terms of the atomic radius R. (b) Compute and compare linear densityQ:(a) Derive planar density expressions for FCC (100) and (111) planes in terms of the atomic radius R. (b) Compute and compare planar density valuesQ:a) Derive planar density expressions for BCC (100) and (110) planes in terms of the atomic radius R. (b) Compute and compare planar density values