Which is a possible set of quantum numbers for a valence unpaired electrons in ground state atom of phosphorus (Z = 15)

Moderate

Solution

${(P)}_{15} {1s}^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{3}$
Valence unpaired electrons are in 3p
Valence unpaired electrons are in 3p
Thus, n = 3
l = 1
m = -1, 0, + 1
s = $+ \frac{1}{2} or - \frac{1}{2}$

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n	l	m₁	m₂
2	1	0	$+ \frac{1}{2}$

n	l	m₁	m₂
3	2	0	$+ \frac{1}{2}$

n	l	m₁	m₂
3	0	0	$+ \frac{1}{2}$

n	l	m₁	m₂
3	1	0	$- \frac{1}{2}$