The primitive basis vectors of a direct body centered tetragonal lattice are defined
vec{a} = 2hat{i} + 2hat{j} - 3hat{k}
vec{b} = -2hat{i} + 2hat{j} + 3hat{k}
vec{c} = 2hat{i} - 2hat{j} + 3hat{k}
a) Find the volume of the primitive cell using the vector product (V = |vec{a} cdot (vec{b} imes vec{c})|)?
b) Find the volume of the Unit cell using your answer of part (a)?
c) Find the reciprocal lattice vectors vec{a}^*, vec{b}^* and vec{c}^*?
d) Find the reciprocal lattice vector G_hkl which is perpendicular to the (220) plane?
e) Find the d-spacing for the (220) planes using your answer of part (d)?