All Problems

Properties of Atoms. Spectra.

Problem 6.106

Find the greatest possible total angular momentum and the corresponding spectral designation of the term (a) of a Na atom whose valence electron possesses the principal quantum number \(n=4\) (b) of an atom with electronic configuration \(1 s^{2} 2 p 3 d\).

Reveal Answer
 (a) 2F7/2,Mmax=63/2, (b) 3F4,Mmax=25.\text { (a) }{ }^{2} F_{7 / 2}, M_{\max }=\hbar \sqrt{63} / 2, \text { (b) }{ }^{3} F_{4}, M_{\max }=2 \hbar \sqrt{5} .