Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 41 - Atomic Physics - Exercises and Problems - Page 1246: 35

Answer

See the detailed answer below.

Work Step by Step

$\bullet$ The Ground-State Electron Configuration of Potassium (K, $ Z = 19 $) is: $$ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^1 $$ This indicates that all the states up to the $ 4s $ orbital are completely filled, except for the $ 4s $ state, which has only one electron. $\bullet$ The Ground-State Electron Configuration of Scandium (Sc, $ Z = 21 $) is: $$ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^1 $$ All the states up to the $ 4s $ state are filled, but it also has electrons in the $ 3d $ subshell. The $ 3d $ subshell contains a single electron in this case. $\bullet$ The Ground-State Electron Configuration of Copper (Cu, $ Z = 29 $) is: $$ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^1 3d^{10} $$ Copper is an exception to the typical filling order. It prefers a completely filled $ 3d $ subshell (with 10 electrons) and has only a single electron in the $ 4s $ state. This configuration reflects the stability gained from having a fully filled $ 3d $ subshell. $\bullet$ The Ground-State Electron Configuration of Germanium (Ge, $ Z = 32 $) is: $$ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^2 $$ For germanium, the ground-state electron configuration includes completely filled $ 4s $ and $ 3d $ subshells and partially filled $ 4p $ subshell. This configuration shows that germanium has two electrons in the $ 4p $ subshell, while the $ 4s $ and $ 3d $ subshells are completely filled. These electron configurations demonstrate the filling of orbitals in a systematic manner based on the energy levels and the stability of fully or half-filled subshell. See the 4 figures below.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.