  We investigate the relation between the entanglement properties of a quantum
state and its energy for macroscopic spin models. To this aim, we develop a
general method to compute energy bounds for states without certain forms of
multipartite entanglement. Violation of these bounds implies the presence of
these types of multipartite entanglement. As examples, we investigate the
Heisenberg model in different dimensions, the Ising model and the XX model in
the presence of a magnetic field. Finally, by studying the Heisenberg model on
a triangular lattice, we demonstrate that our techniques can be applied also to
frustrated systems.
