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 - Discussion Questions - Page 1401: Q41.15


See explanation.

Work Step by Step

If there were only 3 quantum numbers, then by the Pauli exclusion principle, the n=1 shell would only hold one electron, the n=2 shell would only hold 4, and the n=3 shell would only hold 9. This would result in a different periodicity of elemental properties than what is observed - for example H and He would be predicted to have very similar properties, and H, with its filled outer shell, would be a noble gas.
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