Chemistry 12th Edition

Published by McGraw-Hill Education
ISBN 10: 0078021510
ISBN 13: 978-0-07802-151-0

Chapter 7 - Quantum Theory and the Electronic Structure of Atoms - Questions & Problems - Page 318: 7.75

Answer

a) 1, 0, +1/2, +1/2 - Not acceptable. c) 2, 2, 1, +1/2 - Not acceptable.

Work Step by Step

a) 1, 0, +1/2, +1/2 - Not acceptable. Here, Principal quantum number, n = 1. Angular momentum quantum number, $l$ = 0. For an angular quantum number ‘$l$’ , the magnetic quantum number $m_{l}$ can have values ranging from - $l$ through zero to +$l$. So here value of $m_{l}$ is zero, given that $m_{l}$ is +1/2 and magnetic quantum does not have a fractional value. c) 2, 2, 1, +1/2 - Not acceptable. Here, Principal quantum number, n = 2. For a principal quantum number ‘n’, angular momentum quantum number $l$ can have values ranging from 0 to (n-1). So here possible $l$ values are 0 and 1, given that angular momentum quantum number, $l$ = 2.
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