Disassembling one-dimensional chains in molybdenum oxides

The dimensionality of quantum materials strongly affects their physical properties.Although many emergent phenomena,such as charge-density wave and Luttinger liquid behavior,are well understood in one-dimensional(1D)systems,the generalization to explore them in higher dimensional systems is still a challenging task.In this study,we aim to bridge this gap by systematically investigating the crystal and electronic structures of molybdenum-oxide family compounds,where the contexture of 1D chains facilitates rich emergent properties.While the quasi-1D chains in these materials share general similarities,such as the motifs made up of MoO_(6)octahedrons,they exhibit vast complexity and remarkable tunability.We disassemble the 1D chains in molybdenum oxides with different dimensions and construct effective models to excellently fit their low-energy electronic structures obtained by ab initio calculations.Furthermore,we discuss the implications of such chains on other physical properties of the materials and the practical significance of the effective models.Our work establishes the molybdenum oxides as simple and tunable model systems for studying and manipulating the dimensionality in quantum systems.

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.

One-dimensional Chain Crown Ether Complexes Synthesis and Crystal Structure of ([K(DB18-crown-6)]_(2)(CH_(3)CN))[Pt(SCN)_(4)]

The complexe{[K(DB18-crown-6)]_(2)(CH_(3)CN)}[Pt(SCN)_(4)]was synthesized and characterized by elemental analysis,IR spectrum and X-ray diffraction analysis.The complexe belongs to monoclinic,space group c2/c with cell dimensions,a=2.5904(8),6=1.3653(4),c-1.84706(6)nm,β=123.811(4)°,V=5-339(3)nm^(3),Z=4,.Dcalcd=l.577 g/cm^(3),F(000)=2552,R_(1)=0.051 l,wR_(2)=0.1411.The complexe shows one-dimensional chain of{[K(DB18-crown-6)]+complex cation and[Pt(SCN),i]2-complex anion bridged by N atom of CHaCN moleculer between two[K(DB18-crown-6)]_(2)[Pt(SCN)_(4)]groups respectively.

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.

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.

Calculation and prediction of divertor detachment via impurity seeding by using one-dimensional model

Achieving the detachment of divertor can help to alleviate excessive heat load and sputtering problems on the target plates,thereby extending the lifetime of divertor components for fusion devices.In order to provide a fast but relatively reliable prediction of plasma parameters along the flux tube for future device design,a one-dimensional(1D)modeling code for the operating point of impurity seeded detached divertor is developed based on Python language,which is a fluid model based on previous work(Plasma Phys.Control.Fusion 58045013(2016)).The experimental observation of the onset of divertor detachment by neon(Ne)and argon(Ar)seeding in EAST is well reproduced by using the 1D modeling code.The comparison between the 1D modeling and two-dimensional(2D)simulation by the SOLPS-ITER code for CFETR detachment operation with Ne and Ar seeding also shows that they are in good agreement.We also predict the radiative power loss and corresponding impurity concentration requirement for achieving divertor detachment via different impurity seeding under high heating power conditions in EAST and CFETR phase II by using the 1D model.Based on the predictions,the optimized parameter space for divertor detachment operation on EAST and CFETR is also determined.Such a simple but reliable 1D model can provide a reasonable parameter input for a detailed and accurate analysis by 2D or three-dimensional(3D)modeling tools through rapid parameter scanning.

A Novel Inorganic-organic Hybrid Borate with Unique One-dimensional Infinite Aluminium-oxygen Chains

A novel inorganic-organic hybrid borate,[Al2（fum）（H3BO3）（OH） 4]n·n（H3BO3） （1,H2fum = fumaric acid） ,has been synthesized and characterized by single-crystal X-ray diffraction,FTIR and elemental analysis. Crystal data for compound 1： orthorhombic,space group Pnma,a = 14.108（3） ,b = 6.9412（14） ,c = 14.995（3）A,V = 1468.3（5）A^3,Z = 4,Mr = 359.72,Dc = 1.627 g/cm^3,μ = 0.254 mm^-1,F（000） = 736,the final R = 0.0492 and wR = 0.1650 with I 〉 2σ（I） . In compound 1,each Al^Ⅲ ion is coordinated by six oxygen atoms to adopt a distorted octahedral geometry. Both fumarate anion and the coordinated boric acid act as bidentate bridging ligands to link two neighboring Al^Ⅲ centers simultaneously. Each Al^Ⅲ ion is bridged by two μ2-hydroxyl ligands to construct an infinite wave-like [Al2（fum）（H3BO3）（OH） 4]n chain. These one-dimensional chains form hydrogen bonds with free boric acid molecules giving rise to a three-dimensional supramolecular network.

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.

One-dimensional PtFe hollow nanochains for the efficient oxygen reduction reaction

Integration of electronic and strain effects with tailored structures is significant to tuning the electrocatalytic activity and stability of the electrocatalysts for the oxygen reduction reaction(ORR).In this study,onedimensional PtFe hollow nanochains are synthesized by a facile and effective method,which exhibit a highly open and porous structure.The modulated electronic and strain effects of Pt atoms are verified by extensive structural characterizations,and the mass and specific activities of the prepared catalyst are roughly 7.45 and 12.44 times higher than those of the commercial Pt/C catalyst,respectively.Remarkably,the catalyst demonstrates robust performance with negligible activity decay after an accelerated durability test for 30,000 cycles.The high activity of the catalyst is probably due to the optimized absorption affinity of Pt-O accelerating the reaction kinetics induced by the cooperation of Fe atoms as well as the unique hollow and curved structures.This study provides new insights into the rational design of high-performance ORR catalysts with considerable durability.

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.