The maximum theoretical number of electrons that can be fully accommodated within an atomic subshell

Question

The maximum theoretical number of electrons that can be fully accommodated within an atomic subshell defined by the azimuthal quantum number '$l$' is mathematically expressed as

Professor PC Thomas Classes · Answer

(a) : An atomic subshell designated by the azimuthal quantum number $l$ contains exactly $(2l + 1)$ distinct spatial orbitals. Guided by Pauli's exclusion principle, each individual orbital can hold a maximum of 2 electrons with opposite spins. Consequently, the absolute maximum electron capacity of the entire subshell is $2 	imes (2l + 1) = 4l + 2$ electrons.