Three half-sandwich ruthenium（II） p-cymene complexes containing naphthalenebased Schiff base ligands [Ru（p-cymene）LCl]（2 a～2 c） have been synthesized and characterized. Both Schiff-base ligands and ruthenium co...Three half-sandwich ruthenium（II） p-cymene complexes containing naphthalenebased Schiff base ligands [Ru（p-cymene）LCl]（2 a～2 c） have been synthesized and characterized. Both Schiff-base ligands and ruthenium complexes were fully characterized by ^1H and ^13C NMR spectra, mass spectrometry and infrared spectrometry. The molecular structure of ruthenium complex 2 b was confirmed by single-crystal X-ray diffraction methods. For the complex： C（24H23ClN2ORu, Mr = 524.02, monoclinic, space group P21/c, a = 12.3888（4）, b = 17.3296（6）, c = 20.7744（7）A°, β = 92.8000（10）°, V = 4454.8（3） A°^3, Z = 8, Dc = 1.563 g/cm^3, μ = 0.936 mm^-1, F（000） = 2128, S = 1.154, the final R = 0.0309 and w R = 0.0703. Moreover, these ruthenium complexes are active catalysts for the hydrogenation of nitroarenes to aromatic anilines in the presence of sodium tetrahydroborate（NaBH4） reducing agent.展开更多
The authors define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties such as the Fourier inversion formula, and give some applications. The definition of the...The authors define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties such as the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of K-admissible measures. The authors prove that K-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of K-admissible measures.展开更多
Unique shortest vector problem(uSVP)plays an important role in lattice based cryptography.Many cryptographic schemes based their security on it.For the cofidence of those applications,it is essential to clarify the co...Unique shortest vector problem(uSVP)plays an important role in lattice based cryptography.Many cryptographic schemes based their security on it.For the cofidence of those applications,it is essential to clarify the complex-ity of uSVP with different parameters.However,proving the NP-hardness of usVP appears quite hard.To the state of the art,we are even not able to prove the NP-hardness of usVP with constant parameters.In this work,we gave a lower bound for the hardness of usVP with constant parameters,i.e.we proved that uSVP is at least as hard as gap shortest vector problem(GapSVP)with gap of O(√n/log(n)),which is in NP n coAM.Unlike previous works,our reduction works for paramters in a bigger range,especially when the constant hidden by the big-O in GapsVP is smallerthan1.展开更多
A carbon supported Pd（Pd/C） catalyst used as the anodic catalyst in the direct formic acid fuel cells（DFAFC） was prepared via the improved complex reduction method with sodium ethylenediamine tetracetate（EDTA） a...A carbon supported Pd（Pd/C） catalyst used as the anodic catalyst in the direct formic acid fuel cells（DFAFC） was prepared via the improved complex reduction method with sodium ethylenediamine tetracetate（EDTA） as stabilizer and complexing agent. This method is very simple. The average size of the Pd particles in the Pd/C catalyst prepared with the improved complex reduction method is as small as about 2.1 nm and the Pd particles in the Pd/C catalyst possess an excellent uniformity. The Pd/C catalyst shows a high electrocatalytic activity and stability for the formic acid oxidation.展开更多
基金financially supported by the National Nature Science Foundation of China(21102004)Natural Science Foundation of Anhui Province(1708085MB44)the Natural Science Foundation of the Anhui Higher Education Institutions(KJ2016A845)
文摘Three half-sandwich ruthenium（II） p-cymene complexes containing naphthalenebased Schiff base ligands [Ru（p-cymene）LCl]（2 a～2 c） have been synthesized and characterized. Both Schiff-base ligands and ruthenium complexes were fully characterized by ^1H and ^13C NMR spectra, mass spectrometry and infrared spectrometry. The molecular structure of ruthenium complex 2 b was confirmed by single-crystal X-ray diffraction methods. For the complex： C（24H23ClN2ORu, Mr = 524.02, monoclinic, space group P21/c, a = 12.3888（4）, b = 17.3296（6）, c = 20.7744（7）A°, β = 92.8000（10）°, V = 4454.8（3） A°^3, Z = 8, Dc = 1.563 g/cm^3, μ = 0.936 mm^-1, F（000） = 2128, S = 1.154, the final R = 0.0309 and w R = 0.0703. Moreover, these ruthenium complexes are active catalysts for the hydrogenation of nitroarenes to aromatic anilines in the presence of sodium tetrahydroborate（NaBH4） reducing agent.
基金supported by the 973 Project Foundation of China (#TG1999075102)
文摘The authors define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties such as the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of K-admissible measures. The authors prove that K-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of K-admissible measures.
基金This work is funded by National Natural Science Foundation of China(Grants No.62172405).
文摘Unique shortest vector problem(uSVP)plays an important role in lattice based cryptography.Many cryptographic schemes based their security on it.For the cofidence of those applications,it is essential to clarify the complex-ity of uSVP with different parameters.However,proving the NP-hardness of usVP appears quite hard.To the state of the art,we are even not able to prove the NP-hardness of usVP with constant parameters.In this work,we gave a lower bound for the hardness of usVP with constant parameters,i.e.we proved that uSVP is at least as hard as gap shortest vector problem(GapSVP)with gap of O(√n/log(n)),which is in NP n coAM.Unlike previous works,our reduction works for paramters in a bigger range,especially when the constant hidden by the big-O in GapsVP is smallerthan1.
基金Supported by the "863" Program of Science and Technology Ministry of China(Nos.2006AA05Z137, 2007AA05Z143 and 2007AA05Z159)National Natural Science Foundation of China(Nos.20433060, 20473038, 20573057 and 20703043)the Natural Science Foundation of Jiangsu Province, China(No.BK2006224).
文摘A carbon supported Pd（Pd/C） catalyst used as the anodic catalyst in the direct formic acid fuel cells（DFAFC） was prepared via the improved complex reduction method with sodium ethylenediamine tetracetate（EDTA） as stabilizer and complexing agent. This method is very simple. The average size of the Pd particles in the Pd/C catalyst prepared with the improved complex reduction method is as small as about 2.1 nm and the Pd particles in the Pd/C catalyst possess an excellent uniformity. The Pd/C catalyst shows a high electrocatalytic activity and stability for the formic acid oxidation.
