All Problems

Properties of Atoms. Spectra.

Problem 6.145

Calculate the magnetic moment of an atom (in Bohr magnetons) (a) in \({ }^{1} F\) state; (b) in \({ }^{2} D_{3 / 2}\) state; (c) in the state in which \(S=1, L=2,\) and Landé factor \(g=4 / 3\).

Reveal Answer
(a) \(\sqrt{12} \mu_{B}\) (b) \(2 \sqrt{3 / 5} \mu_{B}\) (c) \((8 / \sqrt{3}) \mu_{B \bullet}\)