Miller indices of planes in crystals

exercise 3_4947

(a) Find the Miller indexes ( hkl ) of the following lattice planes. (The arrows are the primitive vectors of the lattice.)

(i)                                                   (ii)                                              (iii)


(b) Make a drawing of the (110) plane of a bcc lattice. Find the distance between adjacent (110) planes if the lattice constant is a .

(c) Make a drawing of the (111) plane of an fcc lattice. Find the distance between adjacent (111) planes if the lattice constant is a .