Example 1. The primitive translation vectors of the hexagonal space lallice may De taken as -> a = (3a/2)î + (a/ 2)j; b = -(V3a/2)î + (a/ 2)j; c = ck (aj Show that the volume of the primitive cell is...

Extracted text: Example 1. The primitive translation vectors of the hexagonal space lallice may De taken as -> a = (3a/2)î + (a/ 2)j; b = -(V3a/2)î + (a/ 2)j; c = ck (aj Show that the volume of the primitive cell is (V3 /2) a² c (b) Show that the primitive translations ofthe reciprocal lattice are A = (27/N3a)î + (2t/ a)j; B = – (2n//3a)i(2T/aj;C=(2T/c)k