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Concepts and results of determinations of the strong coupling constant inhadron collisions are discussed. A recent alpha_s result from the inclusive jetcross section in pp-bar collisions at sqrt(s)=1.96 TeV is presented which isbased on perturbative QCD calculations beyond next-to-leading order. Emphasisis put on the consistency of the conceptual approach. Conceptual limitations inthe approach of extracting alpha_s from cross section data are discussed andhow these can be avoided by using observables that are defined as ratios ofcross sections. For one such observable, the multijet cross section ratio R3/2,preliminary results are presented.

Determination of the Strong Coupling Constant and Multijet Cross Section Ratio Measurements