Chapter 17, Problem 17.25E

${\text{Ti}}^{3+}$ has the following electronic energy levels:

$\begin{array}{ccc}i& \text{degeneracy}& E\left({\text{cm}}^{-1}\right)\\ 0& 4& 0\\ 1& 6& 384.3\\ 2& 2& 80378.6\end{array}$

Calculate $q$ by summing the three terms, assuming a temperature of $2000\text{K}$. Are additional terms needed to get a good value for $q$?