Electrophilic substitution reactions of the molecules with an allylsilane group have been extensively applied to the organic synthesis. [1][2][3][4][5][6][7][8][9][10] In particular, the electrophilic reactions of acyclic polyolefins having the allylsilane have been applied to the synthesis of 6-, 7-, 8-, and 9-membered cyclic compounds. In the 6-, 7-, and 9-membered cyclic products, the methylenecycloalkanes with an exocyclic double bond are synthesized, while, in the 8-membered cyclic products, the 7-methoxy-1-methylcycloctene with a double bond on the cyclic skeleton is synthesized.In the experiments of van der Gen et al., 1 the acyclic aldehyde having no allylsilane group under methanol conditions was completely cyclized to a cyclic olefin having a double bond. That is, the cyclization of 5-methyl-5-hexenal gives all three possible alkene isomers (endo-and exo-cyclic delocalized isomers) of 6-membered cyclic compound. Meanwhile, in the experiments of Fleming et al.,2-4 the acyclic acetals with an allylsilane and vinylsilane groups cyclized to give the methylenecyclohexane and methylcyclohexene, respectively. Recently, by the experimental results of Kang et al.,[8][9] Lewis acid-induced intramolecular annulation of the allylsilanes with an electrophilic group was applied to a regioselective formation of several cyclic systems. The cyclizations of the acyclic alkenes with an allylsilane group give the methylenecyclohexane, methylenecycloheptane, methylcycloctene, and methylenecyclononane, respectively. That is, in these cyclizations, the site of the double bond has been controlled by the number of the carbon atoms in acyclic skeleton.By the above experimental results, in the 6-membered cyclic products, the methylenecyclohexane with an exocyclic double bond and the methylcyclohexene with a double bond on the cyclic skeleton are synthesized. While, in the 8-membered cyclic products, the methylcycloctene with a double bond on the ring is easily synthesized. To analyze the experimental findings, we carried out systematic calculations for the 6-, 7-, and 8-membered cyclic compounds with the same accuracy. The geometrical structures of the cyclic compounds are fully optimized using ab initio HartreeFock (HF) and second-order Mφller-Plesset (MP2) methods with the 6-311+G ** basis set. After the optimization, the harmonic vibrational frequencies of those compounds are evaluated to confirm the existence of a stable structure at the HF/6-311+G ** level. The Gaussian 94 program was used.
11We represented the relative stabilities and structures of the cyclic compounds calculated with the MP2/6-311+G ** level. Three schematic potential energy diagrams and optimized structures for the structural isomers of the 6-, 7-, and 8-membered cyclic compounds are drawn in Figure 1. All optimized geometrical structures of the cyclic compounds are local minima without an imaginary frequency. The geometrical isomers of the 6-, 7-, and 8-membered cyclic compounds with higher potential energy are not represented. The structures of the cy...