Is the size of an atom determined by its ionization energy?

We propose a general definition of the radius of an atom in terms of its ionization energy. A relationship between these two fundamental properties is derived from the radial distribution function and the exponential decay of the electron density. Strong correlations with well-known atomic radii lead us to conclude that we have found a universally valid definition of the atomic radius, defined exclusively in terms of an intrinsic property, the ionization energy of an atom, which is equally available from experiments and theoretical computations.