We report the short- and long-range behavior of the inner
r < (r) \rho_<(r) and outer
$ \rho_>(r) $ \rho_>(r) densities, which result from a rigorous partitioning of the spherically averaged one-electron density
r(r) \rho(r) in many-electron atoms. It is found that for a small
r,
r < (r) \rho_<(r) has one-electron nature but
$ \rho_>(r) $ \rho_>(r) has two-electron nature. For a large
r, however, the opposite is true.
Keywords Short-range behavior - Long-range behavior - Inner density - Outer density