Chapter 12, Problem 12.27E

Interpretation Introduction

(a)

Interpretation:

The $n!$ relationship for $\text{He}$, $\text{Li}$, and $\text{Be}$ is to be verified.

Concept introduction:

The wavefunctions can be represented in the form of Slater determinants. The terms in the wavefunction is equal to $n!$. The $n$ is the number of electrons present in the given atom. Also, the $n$ is equal to the number of rows or columns. The normalization factor in the slater determinant is $1/\sqrt{n!}$.

Interpretation Introduction

(b)

Interpretation:

The number of terms in an antisymmetric wavefunction for $\text{C}$, $\text{Na}$, $\text{Si}$, and $\text{P}$ is to be calculated.

Concept introduction:

The wavefunctions can be represented in the form of Slater determinants. The terms in the wavefunction is equal to $n!$. The $n$ is the number of electrons present in the given atom. Also, the $n$ is equal to the number of rows or columns. The normalization factor in the slater determinant is $1/\sqrt{n!}$.