Answer: Sublevel designation is 4d.
The allowable [tex]m_l[/tex] values are -2, -1, 0, +1, +2
Number of orbitals in 4d sublevel are 5.
Explanation: Principle Quantum number or 'n' tells us about the number of orbits.
Azimuthal Quantum number or 'l' tells us about the sub-levels. It is calculated by the formula
[tex]l=n-1[/tex]
Magnetic quantum number of [tex]m_l[/tex] tells us about the number of orbitals. Its value ranges from [tex]-l\text{ to }+l[/tex]
When n = 4, value of l = 0, 1, 2, 3 which designated s, p, d and f sub-level respectively.
Sub-level designation for the given values is 4d.
[tex]m_l\text{ values are -2, -1, 0, +1 and +2}[/tex]
Number of orbitals = 5
