A New One-dimensional Chain Compound Constructed by {Mo_8O_(28)} units via Corner-sharing

The title compound, {(H3O)4(NH4)4[Mo8O28]?2H2O}n 1, has been synthesized from the reaction of Zn(OAc)2 and (NH4)6Mo7O24?4H2O in aqueous solution at ambient tempe- rature, and its crystal structure was determined by X-ray single-crystal analysis with the following crystallographic data: monoclinic system, space group P21/n, a = 9.5234(6), b = 11.3235(8), c = 14.8812(10) ?, β = 107.467(2)o, V = 1530.77(18) ?3, Z = 4, F(000) = 1336, μ = 3.293 mm-1 and Dc = 3.037 g/cm3. The final R = 0.0619 for 2691 observed reflections (I > 2σ(I)). X-ray crys- tal structure analysis showed that the novel one-dimensional chain compound is built up by basic {Mo8O28} units via single μ2-O, and such chains are further linked into a three-dimensional net- work by hydrogen bonds.

A New One-dimensional Chain-like Ag(I) Complex with Schiff Base Ligand Containing 4-Amino-1,2,4-triazole

The title compound,poly[N-[1-（3-pydidyl）ethylidene]-4H-1,2,4-triazol-4-amine sil-ver（I） tetrafluoroborate],[Ag（C9H9N5）（BF4）]n,is the result of complexing Ag cation with N-[1-（3-pydidyl）ethylidene]-4H-1,2,4-triazol-4-amine （L）,and its crystal structure was determined by single-crystal X-ray diffraction.The crystal belongs to the monoclinic system,space group C2/c with a= 18.899（6）,b=9.882（2）,c=15.472（4）,β=120.158（3）°,V=2498.5（11）3,C9H9AgBF4N5,Mr= 381.89,Dc=2.031 g/cm3,μ（MoKα）=1.659 mm-1,F（000）=1488,Z=8,the final R=0.0441 and wR=0.0619 for 1094 observed reflections （I 〉 2σ（I））.In the structure,ligand L bridges the two metal Ag（I） centers in a bidentate fashion and each metal ion coordinates with two nitrogen atoms,forming a one-dimensional rectangular chain.The neighboring chains are connected by two additional Ag-N weak interactions into a 3D framework structure.The title compound shows blue fluorescence property at room temperature.

The Luminescence of The Phosphor Sr_2ZrO_4 with One-dimensional Chains Structure

A new type of phosphor Sr2ZrO4 with one-dimensional structure was prepared bysolid reaction and its luminescence is seen at room temperature. The excitation and emissionspectra were measured and display broad maximum at 354 nm and 386 nm respectively. Themechanism of this luminescence is ascribed to charge transfer.

One-dimensional Chain Topology in [Ag(C_6H_6NCl)_2](ClO_4), Generated through Weak Interaction between Molecules

The mononuclear complex [Ag(C6H6NCl)2](ClO() has been prepared and structurally analyzed by single-crystal X-ray diffraction. The complex crystallizes in the monoclinic system, space group C2/c with unit cell parameters: a=15.5314(2), b=8.0247(8), c=15.3701(2)?.β=118.832(2)°, V=1678.2(3)?3, Z=4, Mr=462.46, Dc=1.830Mg/m3, F(000)=912, μ(MoKα) = 1.694cm-1. The final R and wR are 0.0472 and 0.1272 for 1484 observed reflections with I≥3σ(I). The Ag atom is coordinated by two nitrogen atoms of 4-chloromethyl-pyridine in a linear coordination geometry. Each molecule is further linked by the weak interaction between the Cl and Ag atoms to form a one-dimensional chain structure with Ag－Cl distance of 3.240?.

Synthesis and Crystal Structure of One-dimensional Chain Complexes [K(18-C-6)]_2[M(mnt)_2](M=Zn,Hg)

The reactions of 18 crown 6 with each of K 2(M=Zn, Hg; mnt=1,2 dicyanoethene 1,2 dithiolate, C 2S 2(CN) 2- 2) were studied and novel complexes [K(18 C 6)] 2[Zn(mnt) 2](1) and [K(18 C 6)] 2[Hg(mnt) 2](2) were characterized by elemental analysis, IR spectrum and X ray diffraction analysis. Complex 1 displays a one dimensional chain of [K(18 C 6)] 2[Zn(mnt) 2] bridged by K O interactions between adjacent [K(18 C 6)] + units. Complex 2 is also a one dimensional chain of [K(18 C 6)] 2[Hg(mnt) 2] bridged by K...S weak interactions between adjacent [K(18 C 6)] + and [Hg(mnt) 2] 2- .

One-dimensional chain of quantum molecule motors as a mathematical physics model for muscle fibers

A quantum chain model of multiple molecule motors is proposed as a mathematical physics theory for the microscopic modeling of classical force-velocity relation and tension transients in muscle fibers. The proposed model was a quantum many-particle Hamiltonian to predict the force-velocity relation for the slow release of muscle fibers, which has not yet been empirically defined and was much more complicated than the hyperbolic relationships. Using the same Hamiltonian model, a mathematical force-velocity relationship was proposed to explain the tension observed when the muscle was stimulated with an alternative electric current. The discrepancy between input electric frequency and the muscle oscillation frequency could be explained physically by the Doppler effect in this quantum chain model. Further more, quantum physics phenomena were applied to explore the tension time course of cardiac muscle and insect flight muscle. Most of the experimental tension transient curves were found to correspond to the theoretical output of quantum two- and three-level models. Mathematical modeling electric stimulus as photons exciting a quantum three-level particle reproduced most of the tension transient curves of water bug Lethocerus maximus.

Numerical Investigations on the Resonance Errors of Multiscale Discontinuous Galerkin Methods for One-Dimensional Stationary Schrödinger Equation

In this paper,numerical experiments are carried out to investigate the impact of penalty parameters in the numerical traces on the resonance errors of high-order multiscale discontinuous Galerkin(DG)methods(Dong et al.in J Sci Comput 66:321–345,2016;Dong and Wang in J Comput Appl Math 380:1–11,2020)for a one-dimensional stationary Schrödinger equation.Previous work showed that penalty parameters were required to be positive in error analysis,but the methods with zero penalty parameters worked fine in numerical simulations on coarse meshes.In this work,by performing extensive numerical experiments,we discover that zero penalty parameters lead to resonance errors in the multiscale DG methods,and taking positive penalty parameters can effectively reduce resonance errors and make the matrix in the global linear system have better condition numbers.

Crystal Structure, Thermal Analysis and Theoretical Calculation of a One-dimensional Chain Complex [Zn(dafo)_2(H2O)_2](NO_3)_2

A novel one-dimensional chain complex [Zn(dafo)2(H2O)2](NO3)2 was obtained when we tried synthesizing a mixed ligand supramolecular compound of Zinc(II) with dafo and o-phthalic acid. Its structure was determined by single-crystal X-ray diffraction analysis. The crystal belongs to triclinic system, P-1 space group. The crystallo- graphic data: a=0.6989(4) nm, b=0.8281(5) nm, c=1.0231(5) nm, α=94.934(5)°, β=91.366(7)°, γ=99.820(7)°, V=0.5809(5) nm3, Z=1, F(000)=300, Mr=589.78, Dc=1.686 g/cm3, μ(Mo Kα)=1.130 mm-1, R1=0.0521, wR2 =0.1096. The analysis of the crystal structure indicates that the compound has a one-dimensional chain structure which is formed by hydrogen bonds. The constitutes of the title complex were proved by elemental analysis, IR spectra and thermal analysis. On the basis of the experimentation, the complex was calculated by DFT-B3LYP/LANL2DZ in Gaussian-98w also.

Synthesis and Crystal Structure of Two One-dimensional Chain Copper Complexes [Cu(TTA)_2(4,4′-azpy)] and [Cu(TTA)_2(3,3′-azpy)]

Two copper complexes [Cu(TTA)(2)(4, 4'-azpy)] (1) and [ Cu- (TTA)(2)(3,3'-azpy)] (2) (HTTA = 1,1,1-trifluoro-3-(2-thenoyl)-acetone, 4,4'-azpy = 4,4'-azobispyridine, 3,3'-azpy = 3,3'-azobispyridine) were synthesized and characterized. The crystal structures were determined by X-ray diffraction analysis. The crystal I belongs to triclinic with space group P1, a = 0.8515(2) nm, b = 0.9259(2) nm, c = 0.9468(2) nm, alpha = 66.126(9)degrees, beta = 79.667(9)degrees, gamma = 90.13(1)degrees, Z = 1, V = 0.6692(2) nm, D-c = 3.425 g/cm(3), mu = 2.113 mm(-1), F(000) = 694, R-1 = 0.0594, wR(2) = 0.1499. The crystal 2 belongs to monoclinic with space group P2(1)/c, a = 1.0661(2) nm, b = 1.4296(3) nm, c = 1.0041(3) nm, beta = 114.50(3)degrees, V = 1.3926(5) nm(3), Z = 2, D-c = 1.646 g/ cm(3), mu = 1.015 mm(-1), F (000) = 694, R-1 = 0.0535, wR(2) = 0.1113. In the crystals of complexes 1 and 2, the copper atoms have distorted octahedral symmetry. The two compounds possess very similar one-dimensional linear chains linked through the rod- like 4,4'-azpy ligands or 3,3'-azpy ligands.

Quaternary Selenophosphate Cs_(2)ZnP_(2)Se_(6)Featuring Unique One-dimensional Chains and Exhibiting Remarkable Photo-electrochemical Response

New functional materials of metal chalcophosphates have been receiving increasing attention due to their wide structural diversity and technologically promising properties.In this work,a quaternary selenophosphate,Cs_(2)ZnP_(2)Se_(6),has been successfully prepared by the high-temperature solid state reactions with a modified reactive CsCl flux.Single-crystal X-ray diffraction analyses show that Cs2ZnP2Se6 crystallizes in triclinic space group P1^(-)with a=7.66000(10),b=7.712(7),c=12.7599(3)Å,α=96.911(18)°,β=104.367(14)°,γ=109.276(13)°,V=672.16Å^(3)and Z=2.The major structure feature is the one-dimensional(1D)chain comprised of alternating units of tetrahedrally coordinated Zn^(2+)ions to the ethane-like[P_(2)Se_(6)]^(4–)units,in which counterbalanced Cs cations are accommodated.Significantly,photo-electrochemical measurement indicated that the title compound was photo-responsive under visible-light illumination.Moreover,the optical gap of 2.67 eV for Cs_(2)ZnP_(2)Se_(6)was deduced from the UV/Vis reflectance spectroscopy and theoretical calculation shows an indirect band gap with an electronic transfer excitation of Se-4p to Zn-3d/4p and P-3p orbitals.This work presents not only a novel potential application of metal chalcophosphates,but also a facile approach to prepare alkali metal-containing chalcogenides.

Solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain

By use of the Hartree approximation and the method of multiple scales, we investigate quantum solitons and intrinsic localized modes in a one-dimensional antiferromagnetic chain. It is shown that there exist solitons of two different quantum frequency bands： i.e., magnetic optical solitons and acoustic solitons. At the boundary of the Brillouin zone, these solitons becornc quantum intrinsic localized modes： their quantum eigenfrequencics are below the bottom of the harmonic optical frequency band and above the top of the harmonic acoustic frequency band.

Prediction of one-dimensional CrN nanostructure as a promising ferromagnetic half-metal

Searching for one-dimensional(1D)nanostructure with ferromagnetic(FM)half-metallicity is of significance for the development of miniature spintronic devices.Here,based on the first-principles calculations,we propose that the 1D CrN nanostructure is a FM half-metal,which can generate the fully spin-polarized current.The ab initio molecular dynamic simulation and the phonon spectrum calculation demonstrate that the 1D CrN nanostructure is thermodynamically stable.The partially occupied Cr-d orbitals endow the nanostructure with FM half-metallicity,in which the half-metallic gap(?s)reaches up to 1.58 eV.The ferromagnetism in the nanostructure is attributed to the superexchange interaction between the magnetic Cr atoms,and a sizable magnetocrystalline anisotropy energy(MAE)is obtained.Moreover,the transverse stretching of nanostructure can effectively modulate?s and MAE,accompanied by the preservation of half-metallicity.A nanocable is designed by encapsulating the CrN nanostructure with a BN nanotube,and the intriguing magnetic and electronic properties of the nanostructure are retained.These novel characteristics render the 1D CrN nanostructure as a compelling candidate for exploiting high-performance spintronic devices.

Synthesis,Crystal Structure,Fluorescence Property and Antibacterial Activity of Two Unprecedented One-dimensional Chain Metal-organic Coordination Polymers: Zn(H-SSA)(Phen)(H_2O)_2and Cu(H-SSA)(Phen)(H_2O)_2

The reaction of 5 sulfosalicylic acid (H 3 SSA) with o phenanthroline (Phen), NaOH, and MCl 2 (M=Zn, Cu) affords Zn(H SSA)(Phen)(H 2O) 2 (1) and Cu(H SSA)(Phen)(H 2O) 2 (2), respectively. Compounds 1 and 2 are characterized by elemental analysis, IR, fluorescence spectra and single crystal X ray diffraction analysis. The X ray diffraction analyses reveal that compounds 1 and 2 are isostructure. The 5 sulfosalicylic acid ligand loses two protons at the sulfo group and carboxylic group during the reaction. The Zn(II) and Cu(II) ions are six coordinated and adopt distorted octahedral geometry, which are surrounded by two N atoms from Phen, two O atoms from two water molecules, one O atom from —SO 3 group and one oxygen from carboxylic group of the other H SSA. Compounds 1 and 2 have unprecedented one dimensional linear chain formed by a repeating mononuclear structural unit, which is bridged by H SSA. The fluorescence intensity of 1 and 2 is stronger than that of Phen and H 3 SSA at 400 nm. The lowest excited single states of these complexes are assigned as mainly Phen localized 1(π,π *). The antibacterial activity test shows that compounds 1 and 2 strongly inhibit the growth of Streptococcus haemolyticus, Straphylococcus aureus and Escherichia coli .

One-Dimensional Hydrogen-bonded Double Chain Composed of a Copper(II) Complex with Chelidamic Acid

Complex [Cu（C7H3NO5）（DMF）（H2O）] was crystallized from the reaction of Cu（CH3COO）2·H2O with 2,6-dicarboxy-4-hydroxypyridine （chelidamic acid） in DMF solution and its structure was characterized by X-ray crystallography. The crystal is of triclinic, space group P1^- with a = 7.835（2）, b = 8.594（2）, c = 10.309（2） A, α = 84.16（3）, β= 77.94（3）, γ= 69.22（3）°, V = 634.4（2） A^3, Mr = 335.76, Z = 2, Dc = 1.758 g/cm^3, λ, = 0.71073 A,μ（MoKoα） = 1.756 mm^-1 and F（000） = 342. The structure was refined to R = 0.0367 and wR = 0.0805 for 2191 observed reflections with I 〉 2σ（I）. The crystal structure shows a distorted square pyramidal geometry around the copper（Ⅱ） ion, which is chelated by one nitrogen atom and two oxygen atoms of the chelidamic acid, one water molecule and one DMF molecule. The title, complex displays 1-D hydrogen-bonded double chains.

Head-on collision between two solitary waves in a one-dimensional bead chain

The head on collision between two opposite propagating solitary waves is studied in the present paper both numerically and analytically.The interesting result is that no phase shift is observed which is different from that found in other branches of physics.It is found that the maximum amplitude in the process of the head on collision is close to the linear sum of two colliding solitary waves.

Bright and dark small amplitude nonlinear localized modes in a quantum one-dimensional Klein-Gordon chain

By means of the Glauber＇s coherent state method combined with multiple-scale method, this paper investigates the localized modes in a quantum one-dimensional Klein-Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schroedinger equation. Interestingly, the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.

Size effect on light propagation modulation near band edges in one-dimensional periodic structures

Periodic photonic structures can provide rich modulation in propagation of light due to well-defined band structures.Especially near band edges,light localization and the effect of near-zero refractive index have attracted wide attention.However,the practically fabricated structures can only have finite size,i.e.,limited numbers of periods,leading to changes of the light propagation modulation compared with infinite structures.Here,we study the size effect on light localization and near-zero refractive-index propagation near band edges in one-dimensional periodic structures.Near edges of the band gap,as the structure's size shrinks,the broadening of the band gap and the weakening of the light localization are discovered.When the size is small,an added layer on the surface will perform large modulation in the group velocity.Near the degenerate point with Dirac-like dispersion,the zero-refractive-index effects like the zero-phase difference and near-unity transmittance retain as the size changes,while absolute group velocity fluctuates when the size shrinks.

Design,Synthesis and Crystal Structure of Two One-dimensional Zigzag Chain-like Compounds

Two one-dimensional chain-like cyanide-bridged compounds, [Fe（Phen）2（CN）2Ni（Cyclam）]（ClO4）2·DMF-2H2O 1 （Cyclam = 1,4,8,11-tetraaza-cyclotetradecane, Phen = 1,10-phenanthroline, and DMF = N,N-dimethylformamide） and [Fe（Phen）2（CN）2Zn（Cyclam）]（PF6）2·CH3CN 2, were prepared by the reaction of [Fe（Phen）2（CN）2]·2H2O with M（Cyclam）^2＋ （M = Ni, Zn）. In complexes 1 and 2, the metal atoms are connected alternatively with CN groups. X-ray structure and IR analyses for 1 and 2 were performed. Structure analysis revealed that both complexes are centrosymmetric and the geometry around each metal atom is an octahedron. The two complexes crystallize in triclinic with space group of P^1-. For 1, a = 10.439（4）, b = 14.976（7）, c = 15.914（8）A,α = 83.168（15）, β = 74.338（15）, γ = 78.023（15）°, V = 2338.3（18）A^3, Z = 2, Mr = 1035.37, Dc = 1.471 g/cm^3, F（000） = 1076,μ = 0.895 mm^-1, the final R = 0.0616 and wR = 0.1414 for 5849 observed reflections （1 〉 2σ（I））. For 2, a = 9.656（6）, b = 15.404（9）, c = 15.822（10）A, α = 78.68（2）, β= 78.917（19）, γ = 77.15（2）°, V = 2223（2）A^3, Z = 2, Mr = 1064.87, Dc = 1.587 g/cm^3, F（000） = 1078,μ = 1.032 mm^-1, the final R = 0.0672 and wR = 0.1595 for 6819 observed reflections （I 〉 2σ（I））.

A Dugdale-Barenblatt model for elliptical orifice problem with asymmetric cracks in one-dimensional orthorhombic quasicrystals

By means of Muskhelishvili’s method and the technique of generalized conformal mapping,the physical plane problems are transformed into regular mathematical problems in quasicrystals(QCs).The analytical solution to an elliptical orifice problem with asymmetric cracks in one-dimensional(1D)orthorhombic QCs is obtained.By using the Dugdale-Barenblatt model,the plastic simulation at the crack tip of the elliptical orifice with asymmetric cracks in 1D orthorhombic QCs is performed.Finally,the size of the atomic cohesive force zone is determined precisely,and the size of the atomic cohesive force zone around the crack tip of an elliptical orifice with a single crack or two symmetric cracks is obtained.