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Both syntheses use optically pure \u03b1\u2010amino acids as the starting materials, require only seven steps from known 2\u2010ethynylpyrrolidine or 2\u2010ethynylpiperidine derivatives, and are free of protecting groups. The key steps include an alkyne hydration and a chromium\u2013carbene\u2010complex\u2010based net [5 + 5]\u2010cycloaddition step. The alkyne hydration was accompanied by racemization of the \u03b2\u2010amino ketone product under most of the conditions examined, and minimization of this side\u2010reaction was achieved through careful pH control and choice of metal additive. 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