Simplified qualitative
depiction of proposed exchange-coupled states
in 1-X generated using the Ising model. Differences between
pairs of uranium ions are assumed to be negligible, leading to three
quasi-degenerate antiferromagnetic states separated in energy from
the excited, doubly degenerate, ferromagnetic state by 2Jz, avg (≈ 2Javg; −2J formalism).
Here, Javg is the average exchange interaction
(see Section 6.4 of the Supporting Information for more details). As discussed in the text, this model was used
to estimate Javg for 1-Cl and 1-Br based on their Ueff values. Weaker exchange in the case of 1-I is proposed
to give rise to the diagram depicted in Figure S124, wherein there is thermal population of the exchange-coupled
excited state, and relaxation of individual uranium centers occurs
via a Raman mechanism.