Chapter 7, Problem 7B.1ST

(a)

Interpretation Introduction

Interpretation:

The relative probability of finding the electron located at the nucleus inside a region of volume $\text{δ}V=1.0{\text{pm}}^{\text{3}}$ for the ion ${\text{He}}^{\text{+}}$ whose wave function for the electron in its lowest energy state is proportional to $e^{-2r/a_{\text{ο}}}$.

Concept introduction:

A wave function is used to describe a state of the particle.  The probability of finding an electron in a particular space is given by ${\psi }^2$.  It is known a s the probability density.

(b)

Interpretation Introduction

Interpretation:

The relative probability of finding the electron located at a distance of $a_{\text{ο}}$ from the nucleus inside a region of volume $\text{δ}V=1.0{\text{pm}}^{\text{3}}$ for the ion ${\text{He}}^{\text{+}}$ whose wave function for the electron in its lowest energy state is proportional to $e^{-2r/a_{\text{ο}}}$ has to be calculated.  The results have to be commented on.

Concept introduction:

A wave function is used to describe a state of the particle.  The probability of finding an electron in a particular space is given by ${\psi }^2$.  It is known a s the probability density.