  We present estimates in the Hubbard and Heisenberg models for the spectral
weight in magnetic neutron scattering experiments on the cuprates. With the aid
of spin-wave theory and the time dependent Gutzwiller approximation we discuss
how the spectral weight is distributed among the different channels and between
high and low energies. In addition to the well known total moment sum rule we
discuss sum rules for each component of the dynamical structure factor tensor
which are peculiar for spin 1/2 systems. The various factors that reduce the
spectral weight at the relevant energies are singled out and analyzed like:
shielding factors, weight at electronic energies, multimagnon process etc.
Although about 10% ~ 15% of the naively expected weight is detected in
experiments after consideration of these factors the missing weight is within
the experimental uncertainties. A large fraction of the spectral weight is hard
to detect with present experimental conditions.
