Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 40 - All About Atoms - Problems - Page 1251: 71

Answer

$n = 4, 5, 6,...$ $m_l = 0, \pm 1, \pm 2, \pm 3$ $m_s = \pm~\frac{1}{2}$

Work Step by Step

For each value of $n$, the values of $l$ can be $~~l = 0, 1, 2,...,(n-1)$ If $l=3,$ then the value of $n$ can be $~~n = 4, 5, 6,...$ In general, the allowed values of $m_l$ are $~~m_l = 0, \pm 1, \pm 2,...,\pm l$ If $l=3,$ then the allowed values of $m_l$ are $~~m_l = 0, \pm 1, \pm 2, \pm 3$ For each value of $m_l$, there are 2 possible values of $m_s$ $m_s = \pm~\frac{1}{2}$
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