BT₃ in its cubic phase assumes the following structure in the unit cell - one B each comer, one T⁴⁺ ion at the body-centred position, and one ²⁻ ion at the centre face of the cube.
(a) What is the underlying primitive lattice structure? Suppose is the lattice constant
(b) Find out the Cartesian co-ordinates of the basis ions and hence find the basis vect which can be associated to the primitive lattice in (a) to form the crystal structure.
(c) Find the reciprocal lattice of the primitive lattice in (a) and write down and expre the reciprocal lattice vector vec() for a reciprocal lattice point ( ℎ ).
(d) Find out the Geometrical Scattering factor using (b) and (c)