1.7 A crystal has a basis of one atom per lattice point and a set of primitive translation vectors (in A): a = 3i, b- 3j. c= 1.5(i +j+ k), where i, j and k are unit vectors in the x, y and z directions of a Cartesian coordinate system. What is the Bravais lattice type of this crystal, and what are the Miller indices of the set of planes most densely populated with atoms? Calculate the volumes of the primitive unit cell and the conventional unit cell.

1.7 A crystal has a basis of one atom per lattice point and a set of primitive translation vectors (in A): a = 3i, b- 3j. c= 1.5(i +j+ k), where i, j and k are unit vectors in the x, y and z directions of a Cartesian coordinate system. What is the Bravais lattice type of this crystal, and what are the Miller indices of the set of planes most densely populated with atoms? Calculate the volumes of the primitive unit cell and the conventional unit cell.