Chapter 4, Problem 22P

Interpretation Introduction

Interpretation:

The frequencies and wavelengths of $B{e}^{+3}$ that are analogous to the first three lines of Lyman and Balmer series of neutral hydrogen are to be calculated.

Concept introduction:

When a single-electron atom or ion undergoes transition from a higher energy state $n_i$ to a lower energy state $n_f$ , light of frequency $v$ is emitted. This emitted light carries out energy $hv$ lost by the atom. We can calculate the frequency of this light using the following equation.

  $v=(3.29\times {10}^{15}{s}^{-1})Z^2\left(\frac{1}{n_f{}^2}-\frac{1}{n_i{}^2}\right)$

Where $Z$ is the atomic number of the atom or the ion.