Niobium (Nb) has the BCC crystal with a lattice parameter a = 0.3294 nm. Find the planarconcentrations as the number of atoms per nm2 of the (100), (110) and (111) planes. Which plane hasthe most concentration of atoms per unit area? Sometimes the number of atoms per unit area nsurface on thesurface of a crystal is estimated by using the relation nsurface = nbulk2/3 where nbulk is the concentration ofatoms in the bulk. Compare nsurface values with the planar concentrations calculated above and commenton the difference. [Note: The BCC (111) plane does not cut through the center atom and the (111) has1/6th of an atom at each corner