Understanding the mechanism of the (3+2) cycloaddition reaction of 3,4-dihydro-2H-pyrrole 1-oxide with trans-but-2-enol

The mechanism of cycloaddition reaction between singlet alkylidene carbene and ethylene has been investigated with second‐order Moller‐Plesset perturbation theory (MP2). By using 6–31G* basis, geometry optimization, vibrational analysis and energetics have been calculated for the involved stationary points on the potential energy surface. The results show that the title reaction has two major competition channels. An energy‐rich intermediate (INT) is firstly formed between alkylidene carbene and ethylene through a barrier‐free exothermic reaction of 63.62 kJ/mol, and the intermediate then isomerizes to a three‐membered ring product (Pl) and a four‐membered ring product (P2) via transition state TS1 and TS2, in which energy barriers are 47.00 and 51.02 kl/mol. respectively. PI is the main product.

The mechanisms of cycloaddition reactions between 1-aza-2-azoniaallene cations 1 and acetylenes 2 have been investigated using the global electrophilicity and nucleophilicity of the corresponding reactants as global reactivity indexes defined within the conceptual density functional theory. The reactivity and regioselectivity of these reactions were predicted by analysis of the energies, geometries, and electronic nature of the transition state structures. The theoretical results revealed that the reaction features a tandem process: an ionic 1,3-dipolar cycloaddition to produce the cycloadducts 3 H-pyrazolium salts 3 followed by a [1,2]-shift affording the thermodynamically more stable adducts 4 or 5. The mechanism of the cycloaddition reactions can be described as an asynchronous concerted pathway with reverse electron demand. The model reaction has also been investigated at the QCISD/6-31++G(d,p) and CCSD(T)/6-31++G(d,p)//B3LYP/6-31++G(d,p) levels as well as by the DFT. The polarizable continuum model, at the B3LYP/6-31++G(d,p) level of theory, was used to study solvent effects on all the studied reactions. In solvent dichloromethane, all the initial cycloadducts 3 were obtained via direct ionic process as the result of the solvent effect. The consecutive [1,2]-shift reaction, in which intermediates 3 are rearranged to the five-membered heterocycles 4/5, is proved to be a kinetically controlled reaction, and the regioselectivity can be modulated by varying the migrant. The LOL function and RDG function based on localized electron analysis were used to analysis the covalent bond and noncovalent interactions in order to unravel the mechanism of the title reactions.

The mechanism of the cycloaddition reaction between singlet H2Si=Si: and formaldehyde has been investigated with the CCSD(T)//MP2/6-31G* method. From the potential energy profile, it could be predicted that the reaction has three competitive dominant reaction pathways. The reaction rules presented is that the 3p unoccupied orbital of the Si: atom in H2Si=Si: inserts the π orbital of formaldehyde from the oxygen side, resulting in the formation of an intermediate. Isomerization of the intermediate further generates a four-membered ring silylene (the H2Si–O in the opposite position). In addition, the [2+2] cycloaddition reaction of the two π-bonds in H2Si=Si: and formaldehyde also generates another four-membered ring silylene (the H2Si–O in the syn-position). Because of the unsaturated property of the Si: atom in the two four-membered ring silylenes, the two four-membered ring silylenes could further react with formaldehyde, generating two silicic bis-heterocyclic compounds. Simultaneously, the ring strain of the four-membered ring silylene (the H2Si–O in the syn-position) makes it isomerize to a twisted four-membered ring product.

Theoretical study on the mechanism of cycloaddition reaction between silylene carbene and formaldehyde

Theoretical study on mechanism of cycloaddition reaction between dimethyl methylene carbene and ethylene

The mechanism of cycloaddition reactions for 6-dimethylaminofulvene and 6,6-diphenylfulvene with tetrazine and diazacyclopentadienone are studied by DFT at the MPWB1K/cc-pVDZ level of theory. The energy results indicated that the [6 + 4] cycloaddition reaction of 6-dimethylaminofulvene with tetrazine and diazacyclopentadienone derivatives proceeds in a stepwise fashion, while the [2 + 4] cycloaddition reaction of 6,6-diphenylfulvene might proceed in a one-step fashion. Our calculations showed some unfavorable processes with unstable cycloadducts arising from [4 + 2] cycloaddition reactions which are unobserved in the experimental results. Also, an analysis of the Parr functions for the reactants allows us to provide an explanation of the selectivity of these cycloaddition reactions.

X2Sn=Sn: (X = H, Me, F, Cl, Br, Ph, Ar, …) are new species of chemistry. The cycloaddition reaction of X2Sn=Sn: are new study field of stannylene chemistry. To explore the rules of cycloaddition reaction between X2Sn=Sn: and the symmetric π-bonded compounds, the cycloaddition reactions of H2Sn=Sn: and ethylene were selected as model reactions in this paper. The mechanism of cycloaddition reaction between singlet H2Sn=Sn: and ethylene has been first investigated with the MP2/GENECP (C, H in 6-311++G**; Sn in LanL2dz) method in this paper. From the potential energy profile, it could be predicted that the reaction has one dominant reaction channel. The reaction rule presented is that the two reactants firstly form a four-membered Sn-heterocyclic ring stannylene through the [2 + 2] cycloaddition reaction. Because of the 5p unoccupied orbital of Sn: atom in the four-membered Sn-heterocyclic ring stannylene and the π orbital of ethylene forming a π → p donor-acceptor bond, the four-membered Sn-heterocyclic ring stannylene further combines with ethylene to form an intermediate. Because the Sn: atom in intermediate happens sp3 hybridization after transition state, then, intermediate isomerizes to a spiro-Sn-heterocyclic ring compound. The research result indicates the laws of cycloaddition reaction between X2Sn=Sn: and the symmetric π-bonded compounds. The study opens up a new research field for stannylene chemistry.

The mechanism of cycloaddition reaction between singlet dichlorovinylidene (R1) and formaldehyde (R2) has been investigated with MP2 and B3LYP /6-31G* methods, including geometry optimization, vibrational analysis, and energy for the involved stationary points on the potential energy surface. Energies from both methods are also further corrected by CCSD(T)/6-31G* single-point calculations. Although the relative energies do differ especially for the loose conformations such as transition states and intermediates, generally the geometries predicted by MP2 and B3LYP are in good agreement. CCSD(T) relative energies for the stationary points predicted by MP2 and B3LYP agree quite well, and they are more comparative to those from B3LYP than those from MP2. The results also show that both three-centered and [2+2] cycloadditions can happen in concerted pathways. The former leads to a stable three-membered ring product (P1), while the two intermediates (INT1c and INT1d) from the latter are not so stable and will rearrange into either P1 or a more stable four-membered ring product (P2). The orbital interactions are also discussed for the leading intermediates and products.

A theoretical study on the mechanism of cycloaddition reaction between vinylidene and acetone

The mechanism of cycloaddition reaction between singlet dichloromethylene silylene and formaldehyde has been investigated using a MP2/6-31G* method, including geometry optimization and vibrational analysis for the stationary points on the potential energy surface. The energies of different conformations are calculated by CCSD(T)//MP2/6-31G* method. From the potential energy profile, it can be predicted that the cycloaddition reaction between singlet dichloromethylene silylene and formaldehyde has three competitive dominant reaction channels: (1) the two reactants first form a highly strained three-membered ring intermediate INT1c, which then isomerizes to an active four-membered ring product P1 via a transition state TS1c by ring-increasing reaction; Subsequently, P1 further reacts with formaldehyde to form the more stable silapolycyclic product P2; (2) the two reactants first form a four-membered ring intermediate INT1b by the [2 + 2] cycloaddition reaction, which then isomerizes to the four-membered ring product P3.1 via a transition state TS3.1, resulting from the chlorine transfer reaction; (3) INT1b further reacts with formaldehyde to form a silapolycyclic intermediate INT4, which then isomerizes to a silapolycyclic product P4 via a transition state TS4.

The mechanism of the cycloaddition reaction between singlet silylene silylene (H₂Si=Si:) and acetaldehyde has been investigated with CCSD(T)//MP2/6-31G* and CCSD(T)//MP2/6-31G** method, from the potential energy profile, we could predict that the reaction has three competitive dominant reaction pathways. The present rule of this reaction is that the 3p unoccupied orbital of the Si: atom in silylene silylene (H₂Si=Si:) inserts on the π orbital of acetaldehyde from oxygen side, resulting in the formation of an intermediate. Isomerization of the intermediate further leads to the generation of a four-membered ring silylene (the H₂Si-O in the opposite position). In addition, the [2 + 2] cycloaddition reaction of the two π-bonds in silylene silylene and acetaldehyde generates another four-membered ring silylene (the H₂Si-O in the syn-position). Because of the unsaturated property of Si: atom in the two four-membered ring silylenes, they could further react with acetaldehyde, resulting in the generation of two spiro-heterocyclic ring compounds with Si. Simultaneously, the ring strain of the four-membered ring silylene (the H₂Si-O in the syn-position) makes it isomerize to a twisted four-membered ring product.

The mechanism of the cycloaddition reaction between singlet silylene silylene (H2SiSi:) and acetone has been investigated with the CCSD (T)//MP2/6‐31G∗︁ method. According to the potential energy profile, it can be predicted that the reaction has two competitive dominant reaction channels. The present rule of this reaction is that the [2+2] cycloaddition reaction of the two π‐bonds in silylene silylene (H2SiSi:) and acetone leads to the formation of a four‐membered ring silylene (E3). Because of the unsaturated property of Si: atom in E3, it further reacts with acetone to form a silicic bis‐heterocyclic compound (P7). Simultaneously, the ring strain of the four‐membered ring silylene (E3) makes it isomerize to a twisted four‐membered ring product (P4).

The mechanism of the cycloaddition reaction between singlet state dichlorogermylene silylene (Cl2Ge=Si:) and acetaldehyde has been investigated with the MP2/cc-pvtz//MP2/6-31G* method. According to the potential energy profile, it can be predicted that the reaction has four competitive dominant reaction pathways. The presented rule of this reaction is that the 3p unoccupied orbital of Si: atom in dimethylgermylene silylene(Cl2Ge=Si:) inserts the π orbital of acetaldehyde from the oxygen side, resulting in the formation of intermediate. In the intermediate and two reactants, two four-membered ring silylenes, with Si and O in the syn-position and opposite orientation, respectively, are generated, as the [2+2] cycloaddition reaction has occurred between the two bonding π orbital in dichlorogermylene silylene and acetaldehyde. Because of the unsaturated property of Si: atom in the two four-membered ring silylenes, they can further react with acetaldehyde to form two silicic bis-heterocyclic compounds. Simultaneity, the drive of ringlet tensility and unsaturated property of Si: atom in the four-membered ring silylene makes it isomerize into a distorted four-membered ring product and a Cl-transfer product and a H-transfer product, respectively.

The mechanism of the cycloaddition reaction between singlet dimethyl-silylene carbene and formaldehyde has been investigated with MP2/6-31G* method, including geometry optimization and vibrational analysis for the involved stationary points on the potential energy surface. The energies of the different conformations are calculated by zero-point energy and CCSD (T)//MP2/6-31G* method. From the potential energy profile, it can be predicted that the reaction has two competitive dominant reaction pathways. The main products of first dominant reaction pathway are a planar four-membered ring product (P4) and its H-transfer product (P4.2). The main product of second dominant reaction pathway is a silicic bis-heterocyclic compound (P5). © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011

The mechanism of the cycloaddition reaction between singlet germylene silylene (H2GeSi:) and acetone has been investigated with CCSD(T)/6‐31G*//MP2/6‐31G* method. From the potential energy profile, we could predict that the reaction has two competitive dominant reaction channels. The present rule of this reaction is that the [2+2] cycloaddition reaction of the two (‐bonds in germylene silylene and acetone generates a four‐membered ring silylene with Ge. Because of the unsaturated property of Si atom in the four‐membered ring silylene with Ge, it could further react with acetone, resulting in the generation of a bis‐heterocyclic compound with Si and Ge. Simultaneously, the ring strain of the four‐membered ring silylene with Ge makes it isomerize to a twisted four‐membered ring product.