Q5)

(a) Show that there is distorted octahedral void (i.e., edge length of the octahedron is not same for all sides) at centre of each face in the BCC structure. Determine maximum size of the sphere that can be fitted into this void.

(b) Gallium has an orthorhombic structure, with a = 0.45258 nm, b = 0.45186 nm, and c = (3) 0.76570 nm. The atomic radius is 0.1218 nm. The density is 5.904 g/cm3and the atomic weight is 69.72 g/mol. Determine the packing factor in the unit cell.

(c) Calculate the critical radius ratio for a cation to have a ligancy of four in an ionic crystal. ( PLZ explain every step for each part)