Abstract: An apparatus adapted for use as a screw compressor or motor is provided, which comprises a housing (7) in which at least two cooperating rotors (1, 2) of unequal diameters are mounted. The sidewalls of the rotors have helical profiles. The rotor (2) of the smaller or smallest diameter has a substantially concave helical profile, which, as viewed in perpendicular cross-section, is formed as substantially equal, pit-shaped depressions. The helical profile of the other rotor (1) is substantially convex and rotation-symmetrical of a two- or more-sided shape with outwardly-curved flanks.According to the invention, as viewed in perpendicular cross-section, the flanks of each of the pit-shaped depressions (14) of the rotor (2) having the smaller or smallest diameter are of epitrochoidal configuration, which two epitrochoidal flanks are optionally separated by a bottom portion having the form of an arc of a circle.