Chapter 8, Problem 8D.5E

Interpretation Introduction

Interpretation:

The total spin angular momenta that can arise from four electrons has to be calculated.

Concept-Introduction:

Clebsch–Gordan series:

The plausible values of spin quantum number S can be calculated using spin angular momentum quantum numbers of the electrons in outermost shell of the atom through a series called Clebsch–Gordan series.  It is given as,

    ${\text{S = s}}_{\text{1}}{\text{ + s}}_{\text{2}}\text{+}{\text{s}}_3{\text{ + s}}_4{\text{, s}}_{\text{1}}{\text{ + s}}_{\text{2}}\text{+}{\text{s}}_3{\text{ + s}}_4\text{ - 1, }\mathrm{...}{\text{, |s}}_{\text{1}}{\text{ - s}}_{\text{2}}-{\text{s}}_3{\text{ - s}}_4\text{|}$