All p orbitals are identical in size, shape, energy. Differ in orientation only.
Both in case of p orbitals and in case of d , f orbitals there is no necessary relation between a spatial axis and a given m l value. We associate orbitals with x , y , and z axes for our convenience.
Four d orbitals have a roadjunction shape, one d orbital has a dumbbell-with-a-donut shape.
d -Orbitals have specific orientation in space and, thus, five values for the magnetic quantum number ( m l = -2, -1, 0, +1, and +2).
There are d yz -, d xz -, d xy -, d x 2 -y 2 and d z 2 orbitals.
Seven f orbitals have a complex multilobed shape. They have specific orientation in space and, thus, seven values for the magnetic quantum number ( m l = -3, -2, -1, 0, +1, +2, and +3).