On changing temperature, the number of phase transitions seen in our simulations differs depending on the value of σ ang . At low σ ang (0.2-0.5), each phase undergoes one phase transition at k B T ≈ 1 to an ordered phase that persists down to low temperature. However, when σ ang ≥ 0.6, the structures undergo two phase transitions, one at k B T ≈ 1 and one at lower temperature as evidenced by the different colours in the phase diagram (Fig. ). This first transition is to an amorphous cluster, a representative structure is included in Fig. , and the second is to a positionally ordered phase at low temperature. Interestingly, the amorphous to ordered phase transition occurs for a wide range of σ ang , spanning areas of phase space with two distinct ordered structures at low temperature-both when σ ang = 0.6 and 0.7-as well as the plastic crystal phases where σ ang ≥ 0.8. The existence of two phases as a function of temperature suggests that the solid-state structure of cages which have a higher σ ang can be controlled by temperature. Thus, cages that relate to this area of phase space may form both an amorphous and ordered structure based on the temperature of the synthesis, whereas molecules which exist at lower values of σ ang may only evidence ordered structures no matter the synthesis temperature.