How many orbitals make the N-shell? What is the subshell wise distribution of orbitals in the N-shell?


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For N-shell principal quantum number n = 4 

∴ Total number of orbitals in N-shell = n2 = 42 = 16. 

The total number of subshells in N-shell = n 

= 4.

The four subshells with their azimuthal quantum numbers and the constituent number of orbitals are as shown below :

Azimuthal quantum number (l) Symbol of subshell Number of orbitals (2l + 1)
l = 0 s (2 × 0) + 1 = 1
l = 1 p (2 × 1) + 1 = 3
l = 2 d (2 × 2) + 1 = 5
l = 3 f (2 × 3) + 1 = 7