“…7. In LLF, where the distance between two Lu ions is in the order of 3.7 Å as for YLF, it was rather difficult to observe the cooperative emission comparing with other materials as Y 2 O 3 [25], YAG [27], GGG [36] and CaF 2 [22] studied in the group in which the pair distances are comparable. The observation of the energy transfer by up-conversion effect compared to the pair luminescence or the cooperative luminescence is indeed, much more probable of several orders of magnitude and so the cooperative emission is covered by the up conversion one.…”