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Following the $\alpha$ decay of $^{233}$U, $^{229}$Th recoil ions are shownto be extracted in a significant amount from the MLL buffer-gas stopping cell.The produced recoil ions and subsequent daughter nuclei are mass purified withthe help of a customized quadrupole mass spectrometer. The combined extractionand mass-purification efficiency for $^{229}$Th$^{3+}$ is determined viaMCP-based measurements and via the direct detection of the $^{229}$Th $\alpha$decay. A large value of $(10\pm2)$\% for the combined extraction andmass-purification efficiency of $^{229}$Th$^{3+}$ is obtained at a massresolution of about 1 u/e. In addition to $^{229}$Th, also other$\alpha$-recoil ions of the $^{233,232}$U decay chains are addressed.

Determination of the extraction efficiency for $^{233}$U source $\alpha$-recoil ions from the MLL buffer-gas stopping cell