EN
In the paper we suggest the procedure of calculation of the o -Ps lifetime in the pick-off process. The procedure follows the scheme proposed by Tao but we employed the correct positron wave function. We extended our calculations for the case when the o-Ps is overlapping the core region of hydrogen and carbon atoms. The obtained dependence between the lifetime and the radius of the o-Ps fits much better to the experimental one observed in silica gel than the original Tao relation.