abstract: A characterization of phase transitions is presented for a general spin Hamiltonian containing linear and quadratic terms. Applying the catastrophe formalism to the semiclassical energy surface the separatrix is obtained. The existence of first-, second-, and third-order phase transitions is exhibited. Bipartite entanglement of the exact ground state wave function is analyzed in the different phases by evaluating its Von Neumann entropy. A novel method to extract entanglement information from the coherent state is introduced. Consequences of this analysis are drawn, and related with physical models ranging from the Lipkin-Meshkov-Glick in nuclear physics, to the field of quantum optics, to the formation of entangled states of two-mode Bose- Einstein condensates.