this isotope was produced with an intensity of 40 pps and a purity of $93\%$. The main contaminants were $^{21}Mg$ (1.5%), $^{20}Na$ (3.5%) and $^{19}Ne$ (2%). A total number of $2.5\times10^6$ $^{22}Al$ was recorded in this experiment. Other settings of the spectrometer were meant to select and measure the $^{21}Mg$ and $^{24}Al$ $\beta$ decays with the same detection system for energy and efficiency calibration.

The experimental setup shown in figure \[fig:dispositif\] consisted of two sets of detectors. The identification of the incident ions was performed with two $300~\mu m$ silicon detectors (E1 and E2xy) generating an energy-loss signal and a multi-channel plate (MCP) detector situated at the first LISE focal plane which, together with the E1 detector, produced a time-of-flight signal. The $\beta$-decay detection system was composed of two $500~\mu m$ silicon detectors (E3, E4), a $6~mm$ Si(Li) detector (E5) and an EXOGAM Germanium clover detector in close geometry. The fragments were implanted at the downstream edge of the fourth silicon detector E4, which served also to measure the charged-particle decay-energy spectrum. The energy calibration of the E4 detector was performed using the known $\beta$-proton transitions of $^{21}Mg$ [@sextro]. The E3 and E5 detectors were used as $\beta$-particle detectors.

Monte 