Carbon bonding, /-orbital participation

It may be proper at this stage to lead the reader back to the stage where we constructed the localized orbitals of a CH2 group. At that time two valence orbitals were set aside—the 2pv orbital, and the outer (2s, 2pr) hybrid. Both of these orbitals lie in the. r, y plane. Now in our description of cyclopropane, we used bond orbitals to describe the CC bonding these bond orbitals are derived from in-plane (xy y) hybrids on each carbon. The two hybrids which are required on each carbon atom—in ordet to participate in two bond orbitals—are built precisely from the 2py orbital and the (2s, 2pj.) out combination on each CH2 group. 

Two possible reasons may be noted by which just the coordinatively insufficient ions of the low oxidation state are necessary to provide the catalytic activity in olefin polymerization. First, the formation of the transition metal-carbon bond in the case of one-component catalysts seems to be realized through the oxidative addition of olefin to the transition metal ion that should possess the ability for a concurrent increase of degree of oxidation and coordination number (177). Second, a strong enough interaction of the monomer with the propagation center resulting in monomer activation is possible by 7r-back-donation of electrons into the antibonding orbitals of olefin that may take place only with the participation of low-valency ions of the transition metal in the formation of intermediate 71-complexes. 

While 4bp/-type structures can be considered as resonance structures, 4cp/is also an alternative. The importance of structure 4cp/is supported by the fact that the negative charge at the carbon atoms in the 2 and 5 positions is indeed larger than at the 3 and 4 positions. ° The common feature in all 4ap/-, 4bp7-, and 4cp/-type structures is that the lone pair of the planar tricoordinate phosphorus is fully delocalized, resulting in an enhanced bond order about the tricoordinate planar phosphorus. The d-orbital participation at phosphorus is insignificant in 4, either in the planar or nonplanar form. °... 

Let us now direct our attention to the P=C bond in phosphaalkene ion-radicals. The literature contains data on two such anion-radicals in which a furan and a thiophene ring are bound to the carbon atom, and the 2,4,6-tri(tert-butyl)phenyl group is bound to the phosphorus atom. According to the ESR spectra of anion-radicals, an unpaired electron is delocalized on a n orbital built from the five-membered ring (furanyl or thienyl) and the P=C bond. The participation of the phosphaalkene moiety in this MO was estimated at about 60% and some moderate (but sufficient) transmission of the spin density occurs through the P=C bridge (Jouaiti et al. 1997). Scheme 1.6 depicts the structures under discussion. 

Topological resonance energy (TRE) values suggest that 346 is considerably less stable than 345. CNDO/2 calculations with inclusion of d-orbital participation for 346 show considerable 7i-bonding between carbon and sulfur of which over half is attributable to pTt-dn overlap the degree of charge separation indicates that canonical resonance forms of type b (carbonyl ylide type) are more important than those of type c (thiocarbonyl ylide type)." ... 

In the above example, we have not given attention to the shieldings of the carbon atoms directly participating in the twisting bond C6-C7. To understand the conformation dependence of the C6 and C7 shieldings, a special treatment is required. For simplicity, we consider a four 71-electron system such as HEX. It is now assumed that the x, y and z axes coincide with the direction of the principal axes for o33, a22 and on, respectively. Then, the rotation of the C2-C3 bond modifies the pz orbitals of these carbons, resulting in a distortion of the 7C-orbitals, which is represented by the mixing of the pz orbital with px y orbital defined as... 

These have attempted to determine the nature and extent of the sulfur-sulfur and sulfur-carbon bonding, and the amount of d-orbital participation. 

The first attempt to give a description of the electronic structure of thiophene including all valence electrons was made by Clark <1968T2663>. He used the complete neglect of differential overlap CNDO/2 method of Pople, Santry, and Segal, modified in order to include 3d-, 4s-, and 4p-AOs for sulfur in the basis set. The results showed a rather large participation of the 3d-orbitals in the sulfur-carbon bond. The calculated population was 0.24 and 0.14 for 3d and 3d,t. respectively. Calculation of the dipole moment made it clear that the effect of the 3d-orbitals was overestimated by the CNDO/2 method. 

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