Chapter 8, Problem 8A.9AE

Interpretation Introduction

Interpretation:

The expression of radial distribution function of a $2\text{p}$ electron in a hydrogenic atom of atomic number $Z$ is to be stated.  The radius at which the electron is most likely to be found in $2\text{p}$ orbital is to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by $\psi$.  The wavefunction contains all the information about the state of the system.  The wavefunction is the function of the coordinates of particles and time.  The radial wavefunction of $2\text{p}$ orbital is given by the expression shown below.

  $R{\left(r\right)}_{2\text{p}}=\frac{1}{{24}^{1/2}}{\left(\frac{Z}{a}\right)}^{5/2}r{\text{e}}^{-Zr/2a}$