The principal and azimuthal quantum numbers associated with a subshell are a and a4, respec tively. Predict the shape of that subshelli f the shape of another subshell having azimuthal .quantum number a-5 is spherical. If that subshell is half filled, predict the atomic number of the element

The principal and azimuthal quantum numbers associated with a subshell

1.	The principal and azimuthal quantum numbers associated with a subshell are a and a4, respec tively. Predict the shape of that subshelli f the shape of another subshell having azimuthal .quantum number a-5 is spherical. If that subshell is half filled, predict the atomic number of the element
Answer» Solution :The shape of the subshell having azi1nuthal quan-tum NUMBER a - 5 is spherical. HENCE, the value ofa must be 5. Therefore, the subshell having principal and azimuthal QUANTUM numbers a and (a - 4), that is, 5 and 1 is Sp. If Sp subshell is half-filled the , l electronic configuration is `[Kr]5s^24d^(10)5p^3` theatomic number of the element is 51. Sp orbital is f DUMBBELL shaped with two lobes.