  An integration by parts formula is derived for the first order differential
operator corresponding to the action of translations on the space of locally
finite simple configurations of infinitely many points on R^d. As reference
measures, tempered grand canonical Gibbs measures are considered corresponding
to a non-constant non-smooth intensity (one-body potential) and translation
invariant potentials fulfilling the usual conditions. It is proven that such
Gibbs measures fulfill the intuitive integration by parts formula if and only
if the action of the translation is not broken for this particular measure. The
latter is automatically fulfilled in the high temperature and low intensity
regime.
