Chapter 8, Problem 8C.8AE

(i)

Interpretation Introduction

Interpretation:

The possible value of the total spin quantum number $S$ for an atom that has $2$ electrons in different orbitals has to be stated.  Thevalue of multiplicity for the corresponding atom has to be stated.

Concept introduction:

The quantum number $s$ is used to represents the spin angular momentum of a particle.  The value of $s$ is a characteristic value of a particle.  The value of $s$ for electron is $\frac{1}{2}$ and all electrons will have the same value of $s$.  The vector sum of spin angular momentum quantum number is known as the total spin quantum number $S$.

(ii)

Interpretation Introduction

Interpretation:

The possible value of the total spin quantum number $S$ for an atom that has $3$ electrons in different orbital has to be stated.  The value of multiplicity for the corresponding atom has to be stated.

Concept introduction:

The quantum number $s$ is used to represents the spin angular momentum of a particle.  The value of $s$ is a characteristic value of a particle.  The value of $s$ for electron is $\frac{1}{2}$ and all electrons will have the same value of $s$.  The vector sum of spin angular momentum quantum number is known as the total spin quantum number $S$.