In this work it is analyzed that radon daughters are produced as free ions, but theyrnbecome attached to aerosol particles at a rate depending on the aerosol concentration.rnMost of the attached activities for Rn-222 progeny were associated with aerosolrnparticles of the accumulation mode.rnVarious parameters influencing the concentration of the radon daughter productsrnin the atmosphere of dwellings are reviewed. Risk factors for lung cancer fromrnthe inhalation of attached and unattached radon decay products are indicated.rnMethods for controlling excessive radon exposures in mine atmosphere, indoor, andrnoutdoor are outlined.rnThe activity concentration of radon daughters and thoron daughters and also plotrnof the amounts of particles with time are discussed