A crystal has a basis of one atom per lattice point and a set of primitive translation vectors in Å. a = 3j; b = 3j; c =1.5(1 +j +k) where i, j and k are unit vectors in x, y and z directions of a Cartesian system. (i) What is the lattice type of this crystal? (ii) Calculate the volume of the conventional unit cell (iii) Calculate the primitive unit cell

A crystal has a basis of one atom per lattice point and a set of primitive translation vectors in Å. a = 3j; b = 3j; c =1.5(1 +j +k) where i, j and k are unit vectors in x, y and z directions of a Cartesian system. (i) What is the lattice type of this crystal? (ii) Calculate the volume of the conventional unit cell (iii) Calculate the primitive unit cell