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In this paper various structural possibilities for AlnO neutral and cationic isomers were investigated by using the B3LYP/6-311G(3df) method. Calculations of this paper predicted the existence of a number of previously unknown isomers. The stabilities of the AlnO (n = 2-7) clusters with even n are greater than those with odd n, however the stabilities of cationic ions have the opposite odd-even alteation. The mass spectra observations of Al17O and Al19O ions support our theoretical predictions on their stabilities.