  The critical charge $Z_c$ is estimated for elementary particles using a
Newton-Wigner position operator inspired model. Particles with $Z \sim Z_c$
(maxicharged particles), if they exist at all, can have unusual properties
which turn them into elusive objects not easy to detect. Dirac's magnetic poles
have a (magnetic) charge $g\gg Z_c$. This gives one more argument that it is
unexpected that pointlike monopoles to be found in our world, where $
\alpha^{-1}\simeq 137$.
