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Cross sections for the 8 LiG/,tf) 9 Be (ground state) and 8 LiW,f) 7 Li reactions, both important to primordial nucleosynthesis in the inhomogeneous models, have been measured using a radioactive beam technique. The cross section for the former reaction is found to be small, so it is important only for synthesis of 9 Be. The cross section for the latter reaction, however, is found to be large enough to destroy significant quantities of 8 Li, and thus could affect predictions of primordial nucleosynthesis yields.