Density functional study of the ring effect on the Myers-Saito cyclization and a comparison with the Bergman cyclization

Myers-Saito cyclizations of a series of enyne-allenes and enyne-butatrienes have been studied by density functional methods. The pure DFT method, BPW91, in conjunction with the 6-311** basis set is demonstrated to be suitable to study these systems. Geometry optimizations and harmonic frequency calculations were applied for every reactant, transition structure, as well as product. It has been shown that the cyclic structure of reactant lowers significantly the critical distance and reaction barrier. For the Myers-Saito product of (5Z)-1,2,3,5-cyclononatetraen-7-yne (10R), the confinement of ring leads to an essential change of the biradical character from sigma-pi type to a-a type. The through-bond coupling is therefore involved in this product as in the Bergman products. With the enlargement of the ring, the geometrical distortion weakens the through-bond coupling and raises the stability of the products. As a consequence, 1,5-didehydroindene (10P) presents a particularly long critical distance and lower thermodynamic stability. Detailed comparisons of the reactivities of 10R, (Z)-1-cyclononene-3,8-diyne (13R), and (Z)-1-cyclodecene-3,9-diyne (14R) that represent the core structure of a category of natural antitumor drugs have also been made. It reveals that the reactivity of these three systems is quite similar, despite the fact that the thermochemical properties of the prototypical Myers-Saito and Bergman cyclizations are significantly different from each other.