Comment by krastanov

For those interested in more intuitive understanding of how the "smearing" breaks the meme about atoms being mostly empty space, check out these plots: https://en.wikipedia.org/wiki/Atomic_orbital#/media/File:Hyd...

While you can argue they are still flawed, they do clearly show that the electrons have fairly large probabilities of being observed pretty much anywhere inside the "radius" of the atom.