Chapter 7, Problem 7.54P

(a)

Interpretation Introduction

Interpretation:

For $p_z$ orbital $90\text{ \%}$ probability contour with axes is to be drawn.

Concept introduction:

In the Schrodinger wave equation, $\text{ψ}$ represents the wave function. The wave function represents the wave associated with a particle. It has no physical significance.

However, the square of the wave function $\left({\text{ψ}}^2\right)$ gives the probability of finding an electron at a particular point and time. Thus it becomes possible to determine the region in an atom around the nucleus where there is a high possibility of finding an electron with a certain amount of energy. This region is called an atomic orbital.

The symbol ${\text{ψ}}^2$ denotes the probability density. It gives the probability of finding an electron in an extremely small region in the atom.

(b)

Interpretation Introduction

Interpretation:

For $d_{xy}$ orbital $90\text{ \%}$ probability contour with axes is to be drawn.

Concept introduction:

In the Schrodinger wave equation, $\text{ψ}$ represents the wave function. The wave function represents the wave associated with a particle. It has no physical significance.

However, the square of the wave function $\left({\text{ψ}}^2\right)$ gives the probability of finding an electron at a particular point and time. Thus it becomes possible to determine the region in an atom around the nucleus where there is a high possibility of finding an electron with a certain amount of energy. This region is called an atomic orbital.

The symbol ${\text{ψ}}^2$ denotes the probability density. It gives the probability of finding an electron in an extremely small region in the atom.