The semiempirical turbulent diffusion equation is widely used in simulating the spread of atmospheric admixtures. However, the determination of concentrations of the admixtures at long distances from sources by use of the semiempirical equation is incorrect. Earlier, it was shown that the semiempirical equation could be used for describing the finite-rate diffusion at mobile boundaries, determined by the maximum values of the medium velocity pulsations, under certain limitation on the time of the admixture spread. The three-dimensional problem of determining the boundary of the region, within which the atmospheric admixtures spread is considered.