The "Inverted Bonds" Revisited: Analysis of "In Silico" Models and of [1.1.1]Propellane by Using Orbital Forces.

This article dwells on the nature of "inverted bonds", which refer to the σ interaction between two sp hybrids by their smaller lobes, and their presence in [1.1.1]propellane. Firstly, we study H3 C-C models of C-C bonds with frozen H-C-C angles reproducing the constraints of various degrees of "inversion". Secondly, the molecular orbital (MO) properties of [1.1.1]propellane and [1.1.1]bicyclopentane are analyzed with the help of orbital forces as a criterion of bonding/antibonding character and as a basis to evaluate bond energies. Triplet and cationic states of [1.1.1]propellane species are also considered to confirm the bonding/antibonding character of MOs in the parent molecule. These approaches show an essentially non-bonding character of the σ central C-C interaction in propellane. Within the MO theory, this bonding is thus only due to π-type MOs (also called "banana" MOs or "bridge" MOs) and its total energy is evaluated to approximately 50 kcal mol-1 . In bicyclopentane, despite a strong σ-type repulsion, a weak bonding (15-20 kcal mol-1 ) exists between both central C-C bonds, also due to π-type interactions, though no bond is present in the Lewis structure. Overall, the so-called "inverted" bond, as resulting from a σ overlap of the two sp hybrids by their smaller lobes, appears highly questionable.

Photochemical studies on bis-sulfide and -sulfone tethered polyenic derivatives.

This study focusses on the [2 + 2]-photocycloaddition of a symmetric polyenic system tethered by an aryl bis-sulfide or sulfone platform. Using direct irradiation or photosensitization, no expected ladderane product was isolated. In most cases, only tricyclic products including a single cyclobutane moiety were formed. Irradiation of bis-acrylic precursors in water with encapsulation by a host (cyclodextrin or cucurbituril) provided a stereoselective access to valuable cyclobutyl adducts.

Understanding reaction mechanisms in organic chemistry from catastrophe theory: ozone addition on benzene.

The potential energy profiles of the endo and exo additions of ozone on benzene have been theoretically investigated within the framework provided by the electron localization function (ELF). This has been done by carrying out hybrid Hartree-Fock DFT B3LYP calculation followed by a bonding evolution theory (BET) analysis. For both approaches, the reaction is exothermic by ~98 kJ mol(-1). However, the activation energy is calculated to 10 kJ mol(-1) lower in the endo channel than in the exo one; therefore the formation of the endo C(6)H(6)O(3) adduct is kinetically favored. Six structural stability domains are identified along both reaction pathways as well as the bifurcation catastrophes responsible for the changes in the topology of the system. This provides a chemical description of the reaction mechanism in terms of heterolytic synchronous bond formation.

Wheland intermediates: an ab initio valence bond study.

The traditional resonance model for electrophilic attacks on substituted aromatic rings is revisited using high level valence bond (VB) calculations. A large π-donation is found in the X = NH(2) case and a weaker one for the X = Cl case, not only for ortho and para isomers but also for the meta case, which can be explained by considering five (not three) fundamental VB structures. No substantial π-effect is found in the X = NO(2) case, generally viewed as π-attractive.

Does back-bonding involve bonding orbitals in boryl complexes? A theoretical DFT study.

Theoretical calculations at the DFT (B3LYP) level have been undertaken on tris- and bis(boryl) complexes. Two model d(6) complexes [Rh(PH(3))(3)(BX(2))(3) and Rh(PH(3))(4)(BX(2))(2)(+), X = OH and H] have been studied. In the model tris(boryl) complex (X = OH) we find a fac structure as a minimum, in accordance with the experimental data. The mer geometries are found to be higher in energy. Analysis of the energetic ordering in mer isomers shows that back-bonding in these complexes involves a bonding Rh-B orbital (and not a d-block orbital as usual). This surprising behavior is rationalized through a qualitative MO analysis and quantitative NBO analysis. Results on the bis(boryl) complex confirm the preceding analysis. Full optimization of unsubstituted (X = H) complexes leads to structures in which the BH(2) moieties are coupled. In the optimal geometry of the bis(boryl) complex, the B(2)H(4) ligand resembles the transition state of the C(2v)-->D(2d) interconversion of the isolated B(2)H(4) species. In the tris(boryl) complex, we find a B(3)H(6) ligand in which the B(3) atoms define an isosceles triangle with one hydrogen bridging the shorter B-B bond.