University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 41 - Quantum Mechanics II: Atomic Structure - Problems - Exercises - Page 1406: 41.73

Answer

Choice D.

Work Step by Step

If $l=2$, then $m_l$ has 5 possible values:–2, –1, 0, +1, +2. For each of those combinations of $l$ and $m_l$, there are 2 possible spin states: $m_s = \pm \frac{1}{2}$. There are 10 possible states in this subshell. Note that in the n = 100 shell, $l$ ranges from 0 to 99, so there are many more additional electron states in the shell.
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