# How many electrons can s,p,d,f hold?

May 9, 2018

$2 , 6 , 10 , 14$ respectively

#### Explanation:

If ℓ is the angular quantum number of subshell then maximum electrons it can hold is 2(2 ℓ + 1)

$\underline{\boldsymbol{\text{Sub-shell" color(white)(.....) ℓ color(white)(.....) "Maximum electrons}}}$
$\textcolor{w h i t e}{\ldots . .} \text{s} \textcolor{w h i t e}{\ldots \ldots \ldots \ldots . .} 0 \textcolor{w h i t e}{\ldots \ldots \ldots \ldots} 2 \left(2 \left(0\right) + 1\right) = 2$
$\textcolor{w h i t e}{\ldots . .} \text{p} \textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots} 1 \textcolor{w h i t e}{\ldots \ldots \ldots \ldots} 2 \left(2 \left(1\right) + 1\right) = 6$
$\textcolor{w h i t e}{\ldots . .} \text{d} \textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots} 2 \textcolor{w h i t e}{\ldots \ldots \ldots \ldots} 2 \left(2 \left(2\right) + 1\right) = 10$
$\textcolor{w h i t e}{\ldots . .} \text{f} \textcolor{w h i t e}{\ldots . {.}_{\ldots} \ldots . .} 3 \textcolor{w h i t e}{\ldots \ldots \ldots \ldots} 2 \left(2 \left(3\right) + 1\right) = 14$