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Results of investigations of the angular correlation of annihilation radiation and positron annihilation lifetime measurements are presented for polyethylene-carbon black composites. The inhibition of positronium formation due to the carbon black introduction is evidenced by a decrease in intensities of the narrow component in angular correlation of annihilation radiation curves and of the longest-lived components in positron annihilation lifetime spectra. A qualitative interpretation of the data in terms of the free-volumes model is proposed. PACS numbers: 71.60.+z, 78.70.Bj, 82.30.Ηk