We present a size-invariant (i.e., N0) scaling algorithm for simulating fluorescence spectroscopy in large molecular aggregates. We combine the dyadic adaptive hierarchy of pure states (DadHOPS) equation-of-motion with an operator decomposition scheme and an efficient Monte Carlo sampling algorithm to enable a formally exact, local description of the fluorescence spectrum in large molecular aggregates. Furthermore, we demonstrate that the ensemble average inverse participation ratio of DadHOPS wave functions reproduces the delocalization extent extracted from fluorescence spectroscopy of J-aggregates with strong vibronic transitions. This work provides a computationally efficient framework for fluorescence simulations, offering a new tool for understanding the optical properties of mesoscale molecular systems.

In the course of studying Diels–Alder reactions of 4-vinylimidazoles with N-phenylmaleimide, it was discovered that they engage in cycloaddition at room temperature to give high yields of the initial cycloadduct as a single stereoisomer. In certain cases, the product precipitated out of the reaction mixture and could be isolated by simple filtration, thereby avoiding issues with aromatization observed during chromatographic purification. Given these results, intramolecular variants using doubly activated dienophiles were also investigated at room temperature. Amides underwent cycloaddition at room temperature in modest yields, but the initial adducts were not isolable with N_imid-benzyl-protected systems. Attempts to extend these results to the corresponding esters and hydroxamate were less successful with these substrates only undergoing cycloaddition at elevated temperatures in lower yields. Density functional theory calculations were performed to evaluate the putative transition states for both the inter- and intramolecular variants to rationalize experimental observations.