  The molecular ion HfF$^+$ is the chosen species for a JILA experiment to
measure the electron electric dipole moment (eEDM). Detailed knowledge of the
spectrum of HfF is crucial to prepare HfF$^+$ in a state suitable for
performing an eEDM measurement\cite{Leanhardt}. We investigated the
near-infrared electronic spectrum of HfF using laser-induced fluorescence (LIF)
of a supersonic molecular beam. We discovered eight unreported bands, and
assign each of them unambiguously, four to vibrational bands belonging to the
transition $[13.8]0.5 \leftarrow X1.5$, and four to vibrational bands belonging
to the transition $[14.2]1.5 \leftarrow X1.5$. Additionally, we report an
improved measurement of vibrational spacing of the ground state, as well as
anharmonicity $\omega_e x_e$.
