Abstract
Rotational bands in $^{109}\mathrm{Rh}$ are investigated in a simple model and in the interacting boson-fermion model. We have developed a solvable extended transitional Hamiltonian by adding a two-configuration mixing term. Results suggest that $^{109}\mathrm{Rh}$ is a good candidate for triaxiality and shape coexistence. Mixing between $3/{2}^{+}$ states with $K=1/2$ and 3/2 is found to be weak, as evidenced by the $E2$ strengths.
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