In recent years there has been growing interest in the existence of strongl
y correlated, non-Fermi-liquid states with (incipient) phase transitions at
zero temperature. A unifying model of the dynamical magnetic susceptibilit
y, chi (q, omega), in the non-Fern-ii-liquid state at a finite temperature
above such a quantum critical point is presented which addresses the analys
is of both inelastic neutron scattering and thermodynamic experiments on a
wide range of materials. The functional forms and symmetries of chi (q, ome
ga) derived fromthese analyses may serve to guide further experimental and
theoretical efforts in elucidating the non-Fem-ii-liquid state, in addition
to furnishing the basis for semi-microscopical calculations of thermodynam
ic and transport properties.