A number of experimental methods had been developed till date to
evaluate and study the periodic properties. To study these periodic
properties theoretically we have developed a new linear approach. A
mathematical periodic function has been developed to calculate atomic
radii (covalent and vander Waal) of any element by knowing just its
atomic number. This function consists of a common equation along with
additional terms (correction factor) for different blocks (s, p, d and
f) of periodic table. This function has been derived mathematically by
relating different factors in form of correction factors which affect
the atomic radii using graphs. It takes into accounts the chemical
behaviour of all the elements in their respective groups and periods.