  Electromagnetic dissociation of heavy nuclei in ultra-peripheral interactions
at high energies can be used to monitor the beam luminosity at colliders. In
ALICE neutrons emitted by the excited nuclei close to beam rapidity are
detected by the Zero Degree Calorimeters (ZDCs), providing a precise
measurement of the event rate. During the 2010 Pb run, a dedicated data taking
was performed triggering on electromagnetic processes with the ZDCs. These
data, combined with the results from a Van der Meer scan, allowed to measure
the electromagnetic dissociation cross-section of Pb nuclei at $\sqrt{s_{\rm
NN}}$~=~2.76~TeV. Experimental results on various cross-sections are presented
together with a comparison to the available predictions.
