The quantum numbers for the 4f orbitals are as follows:
The principal quantum number (n) for the 4f orbitals is 4. This indicates that the orbitals belong to the fourth energy level.
The azimuthal quantum number (l), also known as the orbital angular momentum quantum number, determines the shape of the orbital. For the 4f orbitals, the value of l is 3.
Since the azimuthal quantum number (l) for the 4f orbitals is 3, the possible values for the magnetic quantum number (m) range from -3 to +3. This means there are seven 4f orbitals: 4f(-3), 4f(-2), 4f(-1), 4f(0), 4f(1), 4f(2), and 4f(3).
In summary, the quantum numbers for the 4f orbitals are n = 4 and l = 3.