  We systematically analyse the coherence length in even-even nuclei. The
pairing coherence length in the spin-singlet channel for the effective density
dependent delta (DDD) and Gaussian interaction is estimated. We consider in our
calculations bound states as well as narrow resonances. It turns out that the
pairing gaps given by the DDD interaction are similar to those of the Gaussian
potential if one renormalizes the radial width to the nuclear radius. The
correlations induced by the pairing interaction have in all considered cases a
long range character inside the nucleus and decrease towards the surface. The
mean coherence length is larger than the geometrical radius for light nuclei
and approaches this value for heavy nuclei. The effect of the temperature and
states in continuum is investigated. Strong shell effects are evidenced,
especially for protons. We generalize this concept to quartets by considering
similar relations, but between proton and neutron pairs. The quartet coherence
length has a similar shape, but with larger values on the nuclear surface. We
evidence the important role of proton-neutron correlations by estimating the
so-called alpha coherence length, which takes into account the overlap with the
proton-neutron part of the $\alpha$-particle wave function. It turns out that
it does not depend on the nuclear size and has a value comparable to the free
$\alpha$-particle radius. We have shown that pairing correlations are mainly
concentrated inside the nucleus, while quarteting correlations are connected to
the nuclear surface.
