Question

For $C$-atom, $1s^{2}2s^{2}2p_x^{1}2p_y^1,$ two unpaired electrons are in $l=1,$ what is the spin angular momentum.

Answer 1

$C-(z=6)\Rightarrow {1s}^2{2s}^2$ ${2p}_x^1{2p}_y^1$

$s=v_2$

total spin =$2\left(\frac{1}{2}\right)=1$

spin multiplicity=3

Angular momentum =$\frac{nh}{2\pi }=\frac{2h}{2\pi }=\frac{h}{\pi }$

Orbital angular momentum =$\sqrt{l(l+1)}\frac{h}{2\pi }=\frac{h}{\sqrt{2\pi }}$