Fundamentals of Physics Extended (10th Edition)

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

Chapter 40 - All About Atoms - Problems - Page 1248: 30a

Answer

For a helium atom in its ground state, the quantum numbers $(n,l,m_l,m_s)$ of the spin-up electron is $(1,0,0,+\frac{1}{2})$

Work Step by Step

The helium atom has $2$ electrons. At ground state of the helium atom, $2$ electrons fit into the lowest-energy subshell, the $1s$ subshell with quantum numbers $(n,l,m_l,m_s)$ of $(1,0,0,-\frac{1}{2})$ and $(1,0,0,+\frac{1}{2})$ respectively. Thus, for a helium atom in its ground state, the quantum numbers $(n,l,m_l,m_s)$ of the spin-up electron is $(1,0,0,+\frac{1}{2})$
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