We extract a set of values for the Gross -Llewellyn Smith sum rule at different values of 4momentum transfer squared (Q 2 ), by combining revised CCFR neutrino data with data from other neutrino deep-inelastic scattering experiments for 1 , Q 2 , 15 GeV 2 ͞c 2 . A comparison with the order a 3 s theoretical predictions yields a determination of a s at the scale of the Z-boson mass of 0.1146 0.009 0.012 . This measurement provides a new and useful test of perturbative QCD at low Q 2 , because of the low uncertainties in the higher order calculations. [S0031-9007 (98)07266-4] PACS numbers: 12.38.Qk, 11.55.Hx, 13.15. + g, 25.30.Pt The Gross-Llewellyn Smith (GLS) sum rule [1] predicts the integral R 1 0where xF 3 ͑x, Q 2 ͒ is the nonsinglet structure function measured in neutrino-nucleon (nN) scattering. In the naive quark parton model, the value of this integral should be three, the number of valence quarks in the nucleon. In perturbative quantum chromodynamics (PQCD), this integral is a function of a s ͑Q 2 ͒, the strong coupling constant.The GLS integral is one of the few physical quantities which has been calculated to next-to-next-to-leadingorder (NNLO) of perturbative QCD [2], and there are estimates of the next order term [3] [i.e., O͑a 4 s ͒]. In addition, there is a nonperturbative higher-twist contribution, proportional to 1͞Q 2 . This yields the GLS integral as a function of a s , of the form GLS 3

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