A shift of the vapor-liquid coexistence curves by the critical value of thereduced second virial coefficient yields striking data collapses to definemaster curves. This is observed for the Mie, Yukawa and square-well fluids ofdifferent attractive ranges. This modification of the extendedcorresponding-states law of Noro and Frenkel strongly improves the outcomesfrom the van der Waals principle. Moreover, this shifted extended principlemakes the master curves from Mie and Yukawa potentials to be one on top of theother. The square-well potential forms two well defined master curves, each onecorresponding to different effective critical exponents.
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