Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 28 - Quantum Mechanics of Atoms - General Problems - Page 828: 53

Answer

22 electron states.

Work Step by Step

The values of $m_{\mathcal{l}}$ range from $-\mathcal{l}$ to $\mathcal{l}$, or $2\mathcal{l}+1$ values. For each of those values, there are 2 possible values of $m_{s}$, which are $-\frac{1}{2},\frac{1}{2}$. We see that the total number of states for a particular $\mathcal{l}$ is $2(2\mathcal{l}+1)$. The “h” subshell has $\mathcal{l}=5$, so there are 2(2(5)+1) = 22 electrons in the subshell.
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