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We calculate the correction to the two-gluon decay width due to the finite extension of the vertex function. We obtain the corrected factor to the zero-range vertex γ=1.32,γ=1.45,γ=1.26 forηc,χc0,andχc2,respectively. With the decay width Г(ηc → 2g) we extract the value αs(mc) = 0.28 ± 0.05 which agrees with that calculated from the same correction to the process Г( J/ψ → 3g). This correction to the process Г(ηc → 2g) is not as large as that to the process Г(J/ψ → 3g).