Ab initio molecular orbital calculations have been used to investigate the thermal decomposition kinetics of 2-chloroethylethyldichlorosilane at the B3LYP/6-311+G^**,B3PW91/6-311+G^**,and MPW1PW91/6-311+G^** ...Ab initio molecular orbital calculations have been used to investigate the thermal decomposition kinetics of 2-chloroethylethyldichlorosilane at the B3LYP/6-311+G^**,B3PW91/6-311+G^**,and MPW1PW91/6-311+G^** levels of theory.Among these methods,the results(activation parameters) obtained using the B3LYP/6-311+G** level are in good agreement with the available experimental data.The calculated data imply that in the unimolecular β-elimination reactions of the studied compound in the gas phase,the polarization of C(1)-Cl(3) and C(1)-H(4) bonds in the sense of C(1)^δ+-Cl(3)^δ-and C(1)^δ+-H(4)^δ-,respectively,is a determining factor in the gas phase elimination reactions 1,2 and 3.Analysis of bond order,natural bond orbital charges,bond indexes,synchro-nicity parameters,and IRC calculations suggest the elimination of 2-chloroethylethyldichlorosilane via reactions 1~3 can be described as concerted and slightly asynchronous.The transition state structures of these reactions are a four-membered cyclic structure.展开更多
This paper focuses on the study of the boundedness of convolution-type Calderón-Zygmund operators on some endpoint Triebel-Lizorkin spaces. Applying wavelets, molecular decomposition and interpolation theory, the...This paper focuses on the study of the boundedness of convolution-type Calderón-Zygmund operators on some endpoint Triebel-Lizorkin spaces. Applying wavelets, molecular decomposition and interpolation theory, the author establishes the boundedness on certain endpoint Triebel-Lizorkin spaces F˙10 ,q(2 q ≤ ∞) under a very weak pointwise regularity condition.展开更多
The energies, geometries and harmonic vibrational frequencies of 1 : 1 5-hydroxytryptamine-water (5-HT-H20) complexes are studied at the MP2/6-311 + + G(d,p) level. Natural bond orbital (NBO), quantum theory ...The energies, geometries and harmonic vibrational frequencies of 1 : 1 5-hydroxytryptamine-water (5-HT-H20) complexes are studied at the MP2/6-311 + + G(d,p) level. Natural bond orbital (NBO), quantum theory of atoms in molecules (QTAIM) analyses and the localized molecular orbital energy decomposition analysis (LMO-EDA) were performed to explore the nature of the hydrogen-bonding interactions in these complexes. Various types of hydro- gen bonds (H-bonds) are formed in these 5-HT-H20 complexes. The intermolecular C4H55HT'"Ow H-bond in HTW3 is strengthened due to the cooperativity, whereas no such cooperativity is found in the other 5-HT-H20 complexes. H-bond in which nitrogen atom of amino in 5-HT acted as proton donors was stronger than other H-bonds. Our researches show that the hydrogen bonding interaction plays a vital role on the relative stabilities of 5-HT-H20 complexes.展开更多
文摘Ab initio molecular orbital calculations have been used to investigate the thermal decomposition kinetics of 2-chloroethylethyldichlorosilane at the B3LYP/6-311+G^**,B3PW91/6-311+G^**,and MPW1PW91/6-311+G^** levels of theory.Among these methods,the results(activation parameters) obtained using the B3LYP/6-311+G** level are in good agreement with the available experimental data.The calculated data imply that in the unimolecular β-elimination reactions of the studied compound in the gas phase,the polarization of C(1)-Cl(3) and C(1)-H(4) bonds in the sense of C(1)^δ+-Cl(3)^δ-and C(1)^δ+-H(4)^δ-,respectively,is a determining factor in the gas phase elimination reactions 1,2 and 3.Analysis of bond order,natural bond orbital charges,bond indexes,synchro-nicity parameters,and IRC calculations suggest the elimination of 2-chloroethylethyldichlorosilane via reactions 1~3 can be described as concerted and slightly asynchronous.The transition state structures of these reactions are a four-membered cyclic structure.
基金Supported by the National Natural Science Foundation of China (Grant No. 10871209)Research Fund for the Doctoral Program of Higher Education (Grant No. 20090141120010)
文摘This paper focuses on the study of the boundedness of convolution-type Calderón-Zygmund operators on some endpoint Triebel-Lizorkin spaces. Applying wavelets, molecular decomposition and interpolation theory, the author establishes the boundedness on certain endpoint Triebel-Lizorkin spaces F˙10 ,q(2 q ≤ ∞) under a very weak pointwise regularity condition.
文摘The energies, geometries and harmonic vibrational frequencies of 1 : 1 5-hydroxytryptamine-water (5-HT-H20) complexes are studied at the MP2/6-311 + + G(d,p) level. Natural bond orbital (NBO), quantum theory of atoms in molecules (QTAIM) analyses and the localized molecular orbital energy decomposition analysis (LMO-EDA) were performed to explore the nature of the hydrogen-bonding interactions in these complexes. Various types of hydro- gen bonds (H-bonds) are formed in these 5-HT-H20 complexes. The intermolecular C4H55HT'"Ow H-bond in HTW3 is strengthened due to the cooperativity, whereas no such cooperativity is found in the other 5-HT-H20 complexes. H-bond in which nitrogen atom of amino in 5-HT acted as proton donors was stronger than other H-bonds. Our researches show that the hydrogen bonding interaction plays a vital role on the relative stabilities of 5-HT-H20 complexes.