Chapter 2, Problem 2.13P

(a)

Interpretation Introduction

Interpretation: The radial nodes for $5f_{xyz}$ orbital should be determined.

Concept introduction: The expression to calculate number of nodes is as follows:

  $\text{Radial nodes}=n-l-1$

Where,

• $n$ is principal quantum number.
• $l$ is azimuthal quantum number.

(b)

Interpretation Introduction

Interpretation: The angular nodes for $5f_{xyz}$ orbital should be determined.

Concept introduction: The expression to calculate number of angular nodes is as follows:

  $\text{Angular nodes}=l$

Where,

• $l$ is azimuthal quantum number.

(c)

Interpretation Introduction

Interpretation: Equation to define angular nodal surface for $5f_{xyz}$ orbital should be written. Also, shape of nodal surface should be determined.

Concept introduction: Nodal surfaces are surface with value of wave function for electron is zero and its sign gets changed. It is a surface when value of probability of finding electron gets zero.

(d)

Interpretation Introduction

Interpretation: Shape of orbital for $5f_{xyz}$ orbital should be written. Also, all radial and angular nodes should be mentioned.

Concept introduction: Nodal surfaces are surface with value of wave function for electron is zero and its sign gets changed. It is a surface when value of probability of finding electron gets zero.