The reactions of hydrogen isocyanide (HN
C) with various simple alkynes (HC
C-X, with X =H, CH
3, NH
2, F), formally [2 + 1] cycloadditions, have been studied by density functional theory (DFT) withthe hybrid exchange correlation B3LYP functional and a 6-311G(d,p) basis set, as well as by MO theory withCCSD(T) calculations. For each reaction, the intrinsic reaction coordinate (IRC) pathway has been constructed.It is shown that each [2 + 1] cycloaddition is nonconcerted but proceeds in two steps: rate-determining additionof HN
C to a carbon atom of HC
CX, giving rise to a zwitterion intermediate, followed by a ring closureof the latter, yielding finally cyclopropenimine. In all cases, HN
C behaves as an electrophile. The activationenergies corresponding to both possible initial attacks of HN
C are distinguishable, introducing thus a siteselectivity and an asynchronism of bond formation in the initial step, for which a rationalization using DFT-based reactivity descriptors and the local HSAB principle has been proposed. Except for HC
C-F, initialattack on the unsubstituted alkyne carbon is preferred. The hardness and polarizability profiles along the IRCreaction paths of the supersystem have also been constructed. In some cases, there are no clear-cut extrema;in other cases, there is a minimum in the hardness profile and a maximum in the polarizability profile, butthese extrema do not coincide with the energy maximum and are rather shifted toward the side having theclosest value, following apparently a generalized Hammond postulate. While the higher hardness-lowerpolarizability criterion seems to hold true, there is no obvious relationship between hardness and energy. Theactivation energy (
Eact) vs hardness difference relationship recently derived by Gázquez turns out to be successfulin the interpretation of the calculated
Eact sequences.