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Materials Science and Engineering: An Introduction
Allowed values for the quantum numbers of electrons are as follows:
\[
\begin{aligned}
n &=1,2,3, \ldots \\
l &=0,1,2,3, \ldots, n-1 \\
m_{l} &=0,\pm 1,\pm 2,\pm 3, \ldots, \pm l \\
m_{s} &=\pm \frac{1}{2}
\end{aligned}
\] The relationships between $n$ and the shell designations are noted in Table $2.1 .$ 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 1 s state in the order of $n l m_{l} m_{s},$ are $100\left(\frac{1}{2}\right)$ and $100\left(-\frac{1}{2}\right) .$ 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.