Abstract
Spin-coupled (SC) theory is applied to the description of one of the simplest cycloaddition reactions: the orbital-symmetry-forbidden ground-state dimerization of two ethene molecules to cyclobutane: 2 C2H4 --> C4H8. The aim is to show that the easy-to-visualize and easy-to-interpret features of the SC wavefunction, namely, the form of the valence orbitals and the nature of the spin-coupling pattern within the active space, provide important guiding information, which helps make qualitative predictions about the reaction pathway without carrying out a detailed investigation of the related potential surface.
It is demonstrated that the SC orbitals from a four-orbital active space, corresponding to the forbidden concerted face-to-face approach, bend outwards of the C4H8 ring, which suggests that optimum overlap can be achieved only through a non-concerted approach, passing either through a cis, or through a trans transition state. A re-examination of the size of the active space needed for the proper valence-bond (VB) type analysis of the reaction shows that eight valence orbitals are required in order to achieve correlated descriptions of the two carbon-carbon double bonds in the reacting ethenes, of the three carbon-carbon single bonds and of the two unpaired electrons in the tetramethylene biradical intermediates, as well as of the four equivalent carbon-carbon single bonds in the final product, cyclobutane. SC calculations for the model reaction pathways leading to the formation of cis and trans tetramethylene biradicals, performed within an eight-orbital active space indicate that the trans pathway has a lower potential barrier and leads to a biradical lower in energy; the minimum corresponding to the formation of a cis biradical is rather shallow. The electronic structure of the tetramethylene biradicals is rationalized in easily conceivable terms, such as orbital shapes and spin-coupling patterns.
Original language | English |
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Pages (from-to) | 1643-1651 |
Number of pages | 9 |
Journal | JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS |
Volume | 90 |
Issue number | 12 |
Publication status | Published - 21 Jun 1994 |
Keywords
- VALENCE BOND THEORY
- ELECTRONIC-STRUCTURE
- PERICYCLIC-REACTIONS
- WAVE-FUNCTION
- DETERMINANTS
- MECHANISM
- FORBIDDEN
- BENT