The insertion reaction mechanism of CBr 2 with CH 3 CH 2 O has been studied by using the B3LYP/6-311G(d) and CCSD(T)/6-311G(d) at single point. The geometries of reactions, transition state and products were completely optimized. All the transition state is verified by the vibrational analysis and the internal reaction coordinate (IRC) calculations. The results show that reaction (1) is the dominant reaction path, which proceeds via two steps: i) two reactants form an intermediate (IM1), which is an exothermal reaction of 8.62 kJ·mol −1 without energy barrier; ii) P1 is obtained via the TS1 and the H-shift, in which the energy barrier is 44.53 kJ·mol −1 . The statistical thermodynamics and Eyring transition state theory with Wigner correction are used to study the thermodynamic and kinetic characters of this reaction in temperature range from 100 to 2200 K. The results show that the appropriate reaction temperature ranges from 200 to 1900 K at 1.0 atm, in which the reaction has a bigger spontaneity capability, equilibrium constant (K) and higher rate constant (k).dibromocarbene, formaldehyde, insertion reaction, density functional theory, thermodynamic and kinetic characters Carbene has been paid more attention to because it has some advantages, such as significant role in medicament synthesization and tensile annulet, and can speed up the reaction and make the reaction readily [1][2][3] . Herein, the reactions of carbene with mulriple bond, such as , and have been reported systemically [4][5][6] . Also, the addition reactions between dihalocarbenes and carbonyl compounds have been studied more and more deeply [7][8][9] . Methods of calculating quantum chemistry are effective tool to study the mechanisms of reactions [10][11][12] and further, the cycloaddition reactions of carbene with formaldehyde have been studied deeply by using calculating methods of quantum [13,14] . The insertion reactions between carbene and organic compounds also are reported [15,16] . Recently, the insertion reactions of carbene with ethers have been studied systemically [17][18][19] . However, to our knowledge, up to the present, there have been few literatures on the study of the insertion reactions between the carbene and formaldehyde. In the present work, both the insertion reaction mechanism between singlet CBr 2 and CH 2 O and the characters of thermodynamics and kinetics have been studied by using density functional theory (DFT) in B3LYP/6-311G(d) level. Moreover, our study can make up for the shortage of the study on insertion reaction between CBr 2 and CH 2 O in theories and experiments.
Calculation methodsB3LYP/6-311G(d) implemented in the Gaussian 2003 package were employed to locate all the stationary points along the reaction pathways. Full optimization and vibrational analysis were done for the stationary points on the reaction profile. Zero-point energy and