On the basis of the second order solution of two-dimensional random gravity waves in finite uniform depth,which is rederived by a perturbation expansion method,the analytical expression of the second order spectrum is...On the basis of the second order solution of two-dimensional random gravity waves in finite uniform depth,which is rederived by a perturbation expansion method,the analytical expression of the second order spectrum is strictly deduced, and for infinite depth, the correct form of the kernel function is given for each octant do main.In fact,the present study improves and corrects the generally accepted results obtained by Tick展开更多
A new non-metal 3-D borophosphate compound formulated as(NH4)2[B2P2O8(OH)2](1)has been synthesized by a solvothermal method and characterized by elemental analysis,energy-dispersive X-ray spectroscopy(EDS),IR spectrum...A new non-metal 3-D borophosphate compound formulated as(NH4)2[B2P2O8(OH)2](1)has been synthesized by a solvothermal method and characterized by elemental analysis,energy-dispersive X-ray spectroscopy(EDS),IR spectrum and single-crystal X-ray diffraction.The borophosphate(NH4)2[B2P2O8(OH)2]crystallizes in the cubic system,space group P213 with Z=2,a=b=c=7.586(4)?,V=436.6(4)?3,Mr=281.64,Dc=2.127 g/cm^3,λ=0.71073?,μ=0.551 mm^-1,F(000)=284,R=0.0277 and wR=0.0758 for 262 observed reflections with I>2σ(I)and S=1.082.Its structure is constructed by the connection of PO4 and BO3(OH)tetrahedra to form a 3-D anionic framework containing 4-and 8-membered rings(MRs),with two NH4+cations located in the channels of the 8-membered rings.The N–H…O hydrogen bonds are observed in its packing structure and enhanced the stability of crystal structure.In addition,its thermal stability,UV spectrum and second-order NLO properties have been also investigated.展开更多
A chiral lanthanide metal-organic framework based on enantiopure camphoric acid （D-H2cam）, [Nd3（D-cam）8（H2O）4Cl]n （1）, has been synthesized and characterized by single-crystal X-ray structural analysis, elemen...A chiral lanthanide metal-organic framework based on enantiopure camphoric acid （D-H2cam）, [Nd3（D-cam）8（H2O）4Cl]n （1）, has been synthesized and characterized by single-crystal X-ray structural analysis, elemental analysis, IR, thermal gravimetric, and X-ray powder diffraction. Crystal data for the title compound are as follows： orthorhombic system, space group P212121 with a = 13.8287（7）, b = 14.0715（7）, c = 25.7403（12） A^°, V = 5008.8（4） A^°3, Mr = 1333.08, Z = 4, F（000） = 2644, Dc = 1.768 g/cm^3, μ（MoKα） = 3.189 mm^-1, the final R = 0.0351 and wR = 0.0814 （I 〉 2σ（I））. Compound 1 displays an 8-connected bcu topology 3D framework and hydrogen-bonding interactions stabilize the solid-state structure. The vibrational circular dichroism （VCD） spectrum and second-order nonlinear optical effect of compound 1 have been studied in the solid state.展开更多
Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expr...Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.展开更多
Based on the second order random wave solutions of water wave equations in finite water depth, statistical distributions of the depth integrated local horizontal momentum components are derived by use of the charact...Based on the second order random wave solutions of water wave equations in finite water depth, statistical distributions of the depth integrated local horizontal momentum components are derived by use of the characteristic function expansion method. The parameters involved in the distributions can be all determined by the water depth and the wave number spectrum of ocean waves. As an illustrative example, a fully developed wind generated sea is considered and the parameters are calculated for typical wind speeds and water depths by means of the Donelan and Pierson spectrum. The effects of nonlinearity and water depth on the distributions are also investigated.展开更多
文摘On the basis of the second order solution of two-dimensional random gravity waves in finite uniform depth,which is rederived by a perturbation expansion method,the analytical expression of the second order spectrum is strictly deduced, and for infinite depth, the correct form of the kernel function is given for each octant do main.In fact,the present study improves and corrects the generally accepted results obtained by Tick
基金Supported by the National Natural Science Foundation of China(No.21601095)
文摘A new non-metal 3-D borophosphate compound formulated as(NH4)2[B2P2O8(OH)2](1)has been synthesized by a solvothermal method and characterized by elemental analysis,energy-dispersive X-ray spectroscopy(EDS),IR spectrum and single-crystal X-ray diffraction.The borophosphate(NH4)2[B2P2O8(OH)2]crystallizes in the cubic system,space group P213 with Z=2,a=b=c=7.586(4)?,V=436.6(4)?3,Mr=281.64,Dc=2.127 g/cm^3,λ=0.71073?,μ=0.551 mm^-1,F(000)=284,R=0.0277 and wR=0.0758 for 262 observed reflections with I>2σ(I)and S=1.082.Its structure is constructed by the connection of PO4 and BO3(OH)tetrahedra to form a 3-D anionic framework containing 4-and 8-membered rings(MRs),with two NH4+cations located in the channels of the 8-membered rings.The N–H…O hydrogen bonds are observed in its packing structure and enhanced the stability of crystal structure.In addition,its thermal stability,UV spectrum and second-order NLO properties have been also investigated.
基金supported by National Natural Science Foundation of China(21401147)Basic Research Program of Natural Science from Shaanxi Provincial Government(2015JQ2032)+2 种基金Scientific Research Program from Education Department of Shaanxi Provincial Government(2013JK0654)Opening Foundation from State Key Laboratory of Coordination Chemistry in Nanjing University(201219)the Program for Distinguished Young Scholars of Xi’an Polytechnic University(201403)
文摘A chiral lanthanide metal-organic framework based on enantiopure camphoric acid （D-H2cam）, [Nd3（D-cam）8（H2O）4Cl]n （1）, has been synthesized and characterized by single-crystal X-ray structural analysis, elemental analysis, IR, thermal gravimetric, and X-ray powder diffraction. Crystal data for the title compound are as follows： orthorhombic system, space group P212121 with a = 13.8287（7）, b = 14.0715（7）, c = 25.7403（12） A^°, V = 5008.8（4） A^°3, Mr = 1333.08, Z = 4, F（000） = 2644, Dc = 1.768 g/cm^3, μ（MoKα） = 3.189 mm^-1, the final R = 0.0351 and wR = 0.0814 （I 〉 2σ（I））. Compound 1 displays an 8-connected bcu topology 3D framework and hydrogen-bonding interactions stabilize the solid-state structure. The vibrational circular dichroism （VCD） spectrum and second-order nonlinear optical effect of compound 1 have been studied in the solid state.
文摘Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.
文摘Based on the second order random wave solutions of water wave equations in finite water depth, statistical distributions of the depth integrated local horizontal momentum components are derived by use of the characteristic function expansion method. The parameters involved in the distributions can be all determined by the water depth and the wave number spectrum of ocean waves. As an illustrative example, a fully developed wind generated sea is considered and the parameters are calculated for typical wind speeds and water depths by means of the Donelan and Pierson spectrum. The effects of nonlinearity and water depth on the distributions are also investigated.
