For each of the following, Give the sublevel designation.

Solution 44P

For each of the following, we have to give the sublevel designation, the allowable ml values, and the number of orbitals.

According to Angular quantum number (ml), for different orbitals the  possible l values are,

Step 1

(a) n = 4, l = 2

When l =2 , the designation of sublevel is d-orbital.

The ml value = -l to 0 to +l

                 = -2 to 0 to +2 i.e -2, -1, 0, +1, +2

The number of orbital can be calculated as = 2l+1 = 2 (2)+1 = 5

Thus the sublevel designation is d-orbital, the allowable ml values are -2, -1, 0, +1, +2 and the number of orbitals are 5.