The present invention relates to a semicrystalline propylene polymer composition prepared by polymerizing propylene, ethylene and/or C4-C18-1-alkenes, where at least 50 mol % of the monomer units present stem from the polymerization of propylene and at least 20% by weight of the propylene polymer composition is the result of a polymerization using metallocene catalysts, with a melting point TM of from 65 to 170° C., where the semicrystalline propylene polymer composition can be broken down into from 65 to 85% by weight of a principal component A, from 10 to 35% by weight of an ancillary component B and from 0 to 25% by weight of an ancillary component C, and where the proportions of components A, B and C are determined by carrying out TREF (temperature rising elution fractionation) in which that fraction of the propylene polymer composition which is soluble in xylene at (TM/2)+7.5° C. is firstly dissolved and separated off and then, as the temperature rises, at all of the higher temperatures 70° C., 75° C., 80° C., 85° C., 90° C., 94° C., 98° C., 102° C., 107° C., 112° C., 117° C., 122° C. and 125° C., the fractions soluble within the temperature range between this elution temperature and the preceding elution temperature are eluted, and the principal component A is formed by all of the fractions which are eluted at above (TM/2)+7.5° C. and have an average molar mass MN [sic] (number average)≧120,000 g/mol, the ancillary component B is formed by the fraction which is eluted at (TM/2)+7.5° C., and the ancillary component C is formed by all of the fractions which are eluted at above (TM/2)+7.5° C. and have an average molar mass Mn (number average)