Allowed values for the quantum numbers of electrons are as follows:

Allowed values for the quantum numbers of electrons are as follows:

n = 1, 2, 3, . . .

l = 0, 1, 2, 3, . . . , n − 1

m_l = 0, ±1, ±2, ±3, . . . ,±l

m_s = ±12

The relationships between n and the shell designations are noted in Table .

The Number of Available Electron States in Some of the Electron Shells and Subshells

Principal				Number of Electrons
Quantum	Shell		Number of
Number n	Designation	Subshells	States	Per Subshell	Per Shell
1	K	s	1	2	2
2	S	s	1	2	8
		p	3	6
		s	1	2
3	M	p	3	6	18
		d	5	10
		s	1	2
4	N	p	3	6	32
		d	5	10
		f	7	14

Relative to the subshells,

l = 0 corresponds to an s subshell

l = 1 corresponds to a p subshell

l = 2 corresponds to a d subshell

l = 3 corresponds to an f subshell

For the K shell, the four quantum numbers for each of the two electrons in the 1s state, in the order of nlm_lm_s , are 100 (½) and 100 (-½). Write the four quantum numbers for all of the electrons in the L and M shells, and note which correspond to the s, p, and d subshells.