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 1245: 8

Answer

Magnesium (Mg): $ 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 $ Strontium (Sr): $ 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^{10} \, 4p^6 \, 5s^2 $ Barium (Ba): $ 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^{10} \, 4p^6 \, 5s^2 \, 4d^{10} \, 5p^6 \, 6s^2 $

Work Step by Step

Let's predict the ground-state electron configurations for $\bf Magnesium (Mg)$: The atomic number is 12. Electron Configuration: The first 2 electrons will fill the 1s orbital, the next 2 will fill the 2s orbital, the next 6 will fill the 2p orbital, and the final 2 will occupy the 3s orbital. Thus, the ground-state configuration of Mg is $$ \boxed{ \text{Mg}: 1s^2 \, 2s^2 \, 2p^6 \, 3s^2} $$ Let's predict the ground-state electron configurations for $\bf Strontium (Sr)$: The atomic number is 38. Electron Configuration: Following the filling order, the configuration will fill up to 4p and then 5s. Thus, the ground-state configuration of Sr is $$ \boxed{ \;\; \text{Sr}: 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^{10} \, 4p^6 \, 5s^2\;\;} $$ Let's predict the ground-state electron configurations for $\bf Barium (Ba)$: The atomic number is 56. Electron Configuration: The configuration will fill up to 5p and then 6s. Thus, the ground-state configuration of Ba is $$ \boxed{ \;\; \text{Ba}: 1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^{10} \, 4p^6 \, 5s^2 \, 4d^{10} \, 5p^6 \, 6s^2\;\;} $$
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