  A NaI(Tl) detector array called DALI2 (Detector Array for Low Intensity
radiation 2) has been constructed for in-beam $\gamma$-ray spectroscopy
experiments with fast radioactive isotope (RI) beams. It consists typically of
186 NaI(Tl) scintillators covering polar angles from $\sim$15$^{\circ}$ to
$\sim$160$^{\circ}$ with an average angular resolution of 6$^{\circ}$ in full
width at half maximum. Its high granularity (good angular resolution) enables
Doppler-shift corrections that result in, for example, 10% energy resolution
and 20% full-energy photopeak efficiency for 1-MeV $\gamma$ rays emitted from
fast-moving nuclei (velocities of $v/c \simeq 0.6$). DALI2 has been employed
successfully in numerous experiments using fast RI beams with velocities of
$v/c = 0.3 - 0.6$ provided by the RIKEN RI Beam Factory.
