Fundamentals of Physics Extended (10th Edition)

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

Chapter 39 - More about Matter Waves - Questions - Page 1214: 15c

Answer

Since $\vert m_l \vert \gt l$, these quantum numbers are not possible.

Work Step by Step

For each $n$, the values of $l$ can be $~~l = 0, 1, 2,...,(n-1)$ For each $l,$ the values of $m_l$ can be $~~m_l = 0, \pm 1, \pm 2,...,\pm l$ In this case: $~~n = 4, ~~l=3, ~~m_l = -4$ However, when $l = 3,$ the values of $m_l$ can be $~~m_l = 0, \pm 1, \pm 2, \pm 3$ Since $\vert m_l \vert \gt l$, these quantum numbers are not possible.
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