  The photodissociation cross-section of SrCl$^+$ is measured in the spectral
range of 36000 -- 46000 cm$^{-1}$ using a modular time-of-flight mass
spectrometer (TOF-MS). By irradiating a sample of trapped SrCl$^+$ molecular
ions with a pulsed dye laser, X$^1\Sigma^+$ state molecular ions are
electronically excited to the repulsive wall of the A$^1\Pi$ state, resulting
in dissociation. Using the TOF-MS, the fragments are detected and the
photodissociation cross-section is determined for a broad range of photon
energies. Detailed $\textit{ab initio}$ calculations of the molecular
potentials and spectroscopic constants are also performed and are found to be
in good agreement with experiment. The spectroscopic constants for SrCl$^+$ are
also compared to those of another alkaline earth chalcogen, BaCl$^+$, in order
to highlight structural differences between the two molecular ions. This work
represents the first spectroscopy and $\textit{ab initio}$ calculations of
SrCl$^+$.
