The space group of a perovskite structure, CaTiO3 crystal is Pm-3m short-hand; 4/m-32/m full notation.
a) What is the point group?
b) Specify the atoms in the basis and their x,y,z coordinates given the Bravais lattice specified to the answer in part (b)
c) Specify the crystallographic axis of the symmetry elements in the space/point group symbol.
d) What type of rotation axis does the structure have parallel to the [0 0 1] direction and show the location of this axis in a [0 0 1] projection of this crystal structure?