$\gamma-\gamma$ Angular Correlation Measurements With GRIFFIN

When an excited nuclear state emits successive $\gamma$-rays causing a $\gamma-\gamma$ cascade an anisotropy is found in the spatial distribution of $\gamma_{2}$ with respect to $\gamma_{1}$. Defining the direction of $\gamma_{1}$ as the z-axis, the intermediate level, in general will have an uneven distribution of m-states. This causes an anisotropy in the angular correlation of the second $\gamma$-ray with respect to the first. These angular correlations are expressed by the $W(\theta)$ that depends on numerical coefficients described by the sequence of spin-parity values for the nuclear states involved, the multipolarities and mixing ratios. Angular correlations can be used for the assignment of spins and parities for the nuclear states, and thus provide a powerful means to elucidate the structure of nuclei far from stability through $\beta-\gamma-\gamma$ coincidence measurements. In order to explore the sensitivity of the new 16 clover-detector GRIFFIN $\gamma$-ray spectrometer at TRIUMF-ISAC to such $\gamma-\gamma$ angular correlations, and to optimize its performance for these measurements we have studied a well known $\gamma-\gamma$ cascade from $^{60}$Co decay through both experimental measurements and Geant4 simulation. Results will be shown in this talk.