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The reactivities of 2-butyne, cycloheptyne, cyclooctyne, and cyclononyne in the 1,3-dipolar cycloaddition reaction with methyl azide were evaluated through DFT calculations at the M06-2X/6-311++G(d)//M06-2X/6-31+G(d) level of theory. Computed activation free energies for the cycloadditions of cycloalkynes are 16.5-22.0 kcal mol-1 lower in energy than that of the acyclic 2-butyne. The strained or predistorted nature of cycloalkynes is often solely used to rationalize this significant rate enhancement. Our distortion/interaction-activation strain analysis has been revealed that the degree of geometrical predistortion of the cycloalkyne ground-state geometries acts to enhance reactivity compared with that of acyclic alkynes through three distinct mechanisms, not only due to (i) a reduced strain or distortion energy, but also to (ii) a smaller HOMO-LUMO gap, and (iii) an enhanced orbital overlap, which both contribute to more stabilizing orbital interactions.

The unusually fast Diels–Alder reactions of [5]cyclophanes were analyzed by DFT at the BLYP‐D3(BJ)/TZ2P level of theory. The computations were guided by an integrated activation‐strain and Kohn–Sham molecular orbital analysis. It is revealed why both [5]metacyclophane and [5]paracyclophane exhibit a significant rate enhancement compared to their planar benzene analogue. The activation strain analyses revealed that the enhanced reactivity originates from 1) predistortion of the aromatic core resulting in a reduced activation strain of the aromatic diene, and/or 2) enhanced interaction with the dienophile through a distortion‐controlled lowering of the HOMO–LUMO gap within the diene. Both of these physical mechanisms and thus the rate of Diels–Alder cycloaddition can be tuned through different modes of geometrical distortion (meta versus para bridging) and by heteroatom substitution in the aromatic ring. Judicious choice of the bridge and heteroatom in the aromatic core enables effective tuning of the aromatic Diels–Alder reactivity to achieve activation barriers as low as 2 kcal mol−1, which is an impressive 35 kcal mol−1 lower than that of benzene. [ABSTRACT FROM AUTHOR]

Highlights from the article: B The Diels-Alder cycloaddition of benzene b requires harsh reaction conditions, whereas their bent cyclophane analogs react smoothly under mild conditions. These results demonstrate how the Diels-Alder reactivity can be tuned by different modes of geometrical distortion (meta- versus para-bridging) and by heteroatom substitution in the aromatic ring. Activation strain model, arenes, cycloaddition, cyclophanes, density functional calculations.