Description of whole body counter AT1316A (WBC) is presented. Main stages of experimental and theoretical researches of metrological parameters of the WBC and its results are presented. Possibility of using of the mathematical phantom of the adult human lungs for determination the WBC response function to gamma-emitting nuclides 51Cr, 54Mn, 59Fe, 58Co, 60Co, 65Zn, 95Nb, 95Zr, 103Ru, 110mAg, 124Sb, 141Ce and 144Ce is shown