Nonreciprocal Wave Transmission in Metastable Modular Metastructures Utilizing Asymmetric Dual-Threshold Snap-Through

2019 ◽  
Author(s):  
Xiang Liu ◽  
Guoping Cai ◽  
K. W. Wang
Keyword(s):  
Potential Energy ◽  
Excitation Frequency ◽  
Excitation Amplitude ◽  
Wave Transmission ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
One Dimensional ◽  
Threshold Phenomenon ◽  
Energy Equilibrium ◽  
Nonreciprocal Transmission

Abstract In this research, the nonreciprocal wave transmission features in one-dimensional and two-dimensional metastable modular metastructures are studied. Unlike previous work, in which the nonreciprocal transmission in metastable metastructures is realized by utilizing the supratransmission phenomenon when the excitation frequency is inside the linearized bandgap, a new approach is explored to achieve nonreciprocal wave transmission exploiting metastability and asymmetric dual-threshold snap-through. It is found that because of the asymmetry of potential energy wells of the equilibria, there will be two excitation amplitude thresholds for a metastable component when it is initially at the high-potential-energy equilibrium with excitation frequency within the passband. When the excitation amplitude increases and exceeds the first threshold, the metastable component will snap to the low-potential-energy equilibrium and maintain intrawell motion around this stable point, which will cause a significant decrease of the wave transmission. And when the excitation amplitude exceeds the second threshold, the metastable component will start to perform interwell motion, and now the wave transmission will increase suddenly. By using this “dual-threshold” phenomenon, nonreciprocal wave transmission in a one-dimensional structure is realized by connecting a metastable chain with a linear periodic part. Because of the wave attenuation effect of the linear part of the system, the excitation amplitude thresholds on different sides of the one-dimensional structure will be discrepant. Therefore, nonreciprocal wave transmission can be developed when the excitation amplitude is within certain ranges. It is interesting to note that the direction of nonreciprocal wave transmission can be changed by setting the excitation amplitude to different values. By changing the configuration of the metastable chain, the operation frequency and excitation amplitude ranges of the nonreciprocal transmission can be tuned. For a two-dimensional metastable metastructure, nonreciprocal wave transmission can be realized by adjusting the parameters of some metastable modules in the metastructure in the manner that the potential energy and energy thresholds of the adjusted modules and the unadjusted modules are different, but the passbands of the adjusted modules and the unadjusted modules will overlap in some frequency regions. Numerical studies provide clear insight of the proposed nonreciprocal wave transmission approach.

scholarly journals Anomalous phase transition behavior in hydrothermal grown layered tellurene

Nanoscale ◽  
2019 ◽  
Vol 11 (42) ◽  
pp. 20245-20251
Author(s):  
Han Li ◽  
Kedi Wu ◽  
Sijie Yang ◽  
Tara Boland ◽  
Bin Chen ◽  
...  
Keyword(s):  
Phase Transition ◽  
Van Der Waals ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Structure And Properties ◽  
Phase Transition Behavior ◽  
One Dimensional ◽  
Transition Behavior

Recent studies have demonstrated that tellurene is a van der Waals (vdW) two-dimensional material with potential optoelectronic and thermoelectric applications as a result of its pseudo-one-dimensional structure and properties.

Assembled structures of tetrakis(biimidazole)dirhodium complexes hydrogen-bonded with common inorganic anions

2014 ◽  
Vol 70 (6) ◽  
pp. 1006-1019 ◽  
Author(s):  
Jin-Long ◽  
Kazuhiro Uemura ◽  
Masahiro Ebihara
Keyword(s):  
Hydrogen Bonding ◽  
Three Dimensional ◽  
Inorganic Anions ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Discrete Structure ◽  
Torsion Angles ◽  
One Dimensional ◽  
Three Dimensional Structure ◽  
Dirhodium Complexes

Eight new structures of dirhodium complexes, each with four biimidazole (H2bim) ligands, were obtained: [Rh2(H2bim)4(H2O)2](NO3)4·4H2O (I), [Rh2(H2bim)4(H2O)2](ClO4)4·5H2O (II), [Rh2(H2bim)4(MeOH)2](ClO4)4(III), [Rh2(H2bim)4(DMF)2](BF4)4(IV), [Rh2(H2bim)4(Mepy)2](SiF6)2·8H2O (V), [{Rh2(H2bim)4(pz)}2(μ-pz)](SiF6)(ClO4)6·12.7H2O (VI), [{Rh2(H2bim)4(pz)}2(μ-pz)](ClO4)8·11.4H2O (VII) and [Rh2(H2bim)4(μ-pz)](SiF6)2·6H2O (VIII). The unbridged Rh—Rh bond distances range between 2.6313 (8) and 2.7052 (5) Å. The dirhodium units adopt a staggered conformation with torsion angles N—Rh—Rh—N of 37.6 (4)–48.98 (8)°. Various assembled structures were constructed by hydrogen bonding between the complexes and the anions: a discrete structure in (IV), one-dimensional structure in (II), two-dimensional structures in (I), (III), (VI), (VII) and (VIII) and a three-dimensional structure in (V).

1H-N.M.R. and Theoretical Studies of the Conformation of the Antibiotic Lincomycin

1990 ◽  
Vol 43 (3) ◽  
pp. 535 ◽  
Author(s):  
GP Moloney ◽  
DJ Craik ◽  
MN Iskander ◽  
SLA Munro
Keyword(s):  
Chemical Shift ◽  
Potential Energy ◽  
Resolution Enhancement ◽  
Side Chain ◽  
Theoretical Studies ◽  
Two Dimensional ◽  
Coupling Constant ◽  
Theoretical Conformational Analysis ◽  
One Dimensional ◽  
Sugar Moiety

One- and two-dimensional 1H n.m.r. spectra of the amino glycoside antibiotic lincomycin have been measured and analysed. One-dimensional n.m.r. techniques applied included selective decoupling, resolution enhancement, and n.O.e. difference experiments. Two-dimensional n.m.r. techniques included chemical shift correlated spectroscopy (COSY) and n.O.e. spectroscopy (NOESY) experiments. A theoretical conformational analysis of the side chain of the sugar moiety has also been done by using a simplified potential energy program. Together, the theoretical and experimental (coupling constant and n.O.e.) data have allowed the conformation of lincomycin to be determined.

A trimethylsulfonium salt with a novel polymeric cadmate anion

2013 ◽  
Vol 69 (10) ◽  
pp. 1128-1131 ◽  
Author(s):  
Ming-Liang Liu
Keyword(s):  
Hydrogen Bonds ◽  
Coordination Mode ◽  
Three Dimensional ◽  
Dimensional Structure ◽  
Zigzag Chain ◽  
Two Dimensional ◽  
One Dimensional ◽  
Octahedral Environment ◽  
Distorted Octahedral ◽  
Cl Atoms

The title salt,catena-poly[trimethylsulfonium [μ2-chlorido-di-μ2-thiocyanato-cadmate(II)]] {(C3H9S)[CdCl(NCS)2]}n, consists of trimethylsulfonium cations sandwiched between layers of a two-dimensional polyanion. The CdIIcentre displays a distorted octahedral environment coordinated by two bridging Cl atoms, two thiocyanate N atoms and two thiocyanate S atoms. The thiocyanate groups adopt the μ-1,3-coordination mode and bridge the CdIIcentres into a one-dimensional zigzag chain extended along the [110] direction. The CdIIcentres of the zigzag chains are crosslinked by bridging Cl atoms, forming a two-dimensional polyanion. The two-dimensional anions are linked to layers of trimethylsulfonium cations by weak intermolecular C—H...Cl hydrogen bonds, forming the three-dimensional structure.

Synthesis and characterization of a photochromic magnesium(II) coordination polymer based on a naphthalene diimide ligand

2017 ◽  
Vol 73 (6) ◽  
pp. 437-441
Author(s):  
Jian-Jun Liu ◽  
Teng Liu ◽  
Chang-Cang Huang
Keyword(s):  
Coordination Polymer ◽  
Three Dimensional ◽  
Solvent System ◽  
Magnesium Nitrate ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
One Dimensional ◽  
Π Interactions ◽  
Electron Reduction ◽  
Supramolecular Networks

Naphthalene diimides, which are planar, chemically robust and redox-active, are an attractive class of electron-deficient dyes, which can undergo a single reversible one-electron reduction to form stable radical anions in the presence of electron donors upon irradiation. This makes them excellent candidates for organic linkers in the construction of photochromic coordination polymers. Such a photochromic one-dimensional linear coordination polymer has been prepared using N,N′-bis(3-carboxyphenyl)naphthalene-1,8:4,5-tetracarboximide (H2BBNDI). Crystallization of H2BBNDI with magnesium nitrate in an N,N′-dimethylformamide (DMF)/ethanol/H2O mixed-solvent system under solvothermal conditions afforded the one-dimensional coordination polymer catena-poly[[bis(dimethylformamide-κO)magnesium(II)]-bis[μ-N-(3-carboxylatophenyl)-N′-(3-carboxylphenyl)naphthalene-1,8:4,5-tetracarboximide-κ2 O:O′]], [Mg(C28H13N2O8)2(C3H7NO)2] n . The asymmetric unit contains half of a magnesium cation, one HBBNDI− ligand and one DMF molecule. Two partially deprotonated HBBNDI− ligands bridge two magnesium cations to form a one-dimensional chain. Strong inter-chain π–π interactions between the naphthalene rings of the HBBNDI− ligand and the imide rings of adjacent chains provide a two-dimensional structure. The supramolecular three-dimensional framework is stabilized by π–π interactions between naphthalene rings of neighbouring two-dimensional supramolecular networks. The complex exhibits a reversible photochromic behaviour, which may originate from the photoinduced electron-transfer generation of radicals in the HBBNDI− ligand.

scholarly journals Tiled parallel 2D computational processes

2019 ◽  
Vol 54 (4) ◽  
pp. 417-426
Author(s):  
N. A. Likhoded ◽  
M. A. Paliashchuk
Keyword(s):  
Data Exchange ◽  
Distributed Memory ◽  
Parallel Computer ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
One Dimensional ◽  
Iteration Space ◽  
Acceleration And Deceleration ◽  
Computational Processes ◽  
Communication Operations

The algorithm implemented on a parallel computer with distributed memory has, as a rule, a tiled structure: a set of operations is divided into subsets, called tiles. One of the modern approaches to obtaining tiled versions of algorithms is a tiling transformation based on information sections of the iteration space, resulting in macro-operations (tiles). The operations of one tile are performed atomically, as one unit of calculation, and the data exchange is done by arrays. The method of construction of tiled computational processes logically organized as a two-dimensional structure for algorithms given by multidimensional loops is stated. Compared to one-dimensional structures, the use of two-dimensional structures is possible in a smaller number of cases, but it can have advantages when implementing algorithms on parallel computers with distributed memory. Among the possible advantages are the reduction of the volume of communication operations, the reduction of acceleration and deceleration of computations, potentially a greater number of computation processes and the organization of data exchange operations only within the rows or columns of processes. The results are a generalization of some aspects of the method of construction of parallel computational processes organized in a one-dimensional structure to the case of a two-dimensional structure. It is shown that under certain restrictions on the structure and length of loops, it is sufficient to perform tiling on three coordinates of a multidimensional iteration space. In the earlier theoretical studies, the parallelism of tiled computations was guaranteed in the presence of information sections in all coordinates of the iteration space, and for a simpler case of a one-dimensional structure, in two coordinates.

scholarly journals Two-dimensional structure of poly[[[μ2-1,4-bis(pyridin-4-yl)butane]bis(μ4-pentanedioato)dicopper(II)] acetonitrile disolvate]

IUCrData ◽  
2017 ◽  
Vol 2 (10) ◽  
Author(s):  
Do Nam Lee ◽  
Youngmee Kim
Keyword(s):  
Title Compound ◽  
Layer Structure ◽  
Dimensional Structure ◽  
Coordination Geometry ◽  
Two Dimensional ◽  
Secondary Building Unit ◽  
One Dimensional ◽  
Paddle Wheel ◽  
Building Unit ◽  
Carboxylate Groups

In the title compound, {[Cu2(μ4-C5H6O4)2(μ2-C14H16N2)]·2CH3CN}n, the Cu2dinuclear units are connected by glutartate ligands, forming one-dimensional double chains. These chains, are in turn bridged by 1,4-bis(pyridin-4-yl)butane ligands to form a two-dimensional layer structure parallel to (112). The carboxylate groups of the glutarate ligand bridge two copper(II) ions, forming a paddle-wheel-type Cu2(CO2)4dinuclear secondary building unit. A crystallographic inversion centre is located midway between two CuIIions, with a Cu...Cu distance of 2.639 (3) Å. The coordination geometry of the unique CuIIion is slightly disorted square pyramidal, formed by four equatorial carboxylate O atoms and an axial pyridyl N atom.

scholarly journals catena-Poly[[[bis(1H-imidazole-κN3)zinc(II)]-μ2-imidazol-1-ido-κ2N:N′] nitrate]

2014 ◽  
Vol 70 (8) ◽  
pp. m298-m299
Author(s):  
Elumalai Govindhan ◽  
A. S. Ganeshraja ◽  
B. Bhavana ◽  
Krishnamoorthy Anbalagan ◽  
Arunachalam SubbiahPandi
Keyword(s):  
Coordination Polymer ◽  
Hydrogen Bonds ◽  
Title Compound ◽  
Three Dimensional ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Tetrahedral Geometry ◽  
One Dimensional ◽  
Three Dimensional Structure

The title compound, {[Zn(C3H3N2)(C3H4N2)2]NO3}n, is a one-dimensional coordination polymer along [01-1] with the ZnIIatom coordinating to four imidazole/imidazolide rings. The ZnIIatom has a regular tetrahedral geometry with the planes of the two monodentate imidazole rings inclined to one another by 87.94 (17)°, while the planes of the bridging imidazolide rings are inclined to one another by 39.06 (17)°. In the crystal, the chains are linkedviabifurcated N—H...(O,O) hydrogen bonds, forming sheets parallel to (001). These two-dimensional networks are linkedviaC—H...O hydrogen bonds and a C—H...π interaction, forming a three-dimensional structure.

One- and two-dimensional CdIIcoordination polymers incorporating organophosphinate ligands

2014 ◽  
Vol 70 (11) ◽  
pp. 1069-1074 ◽  
Author(s):  
Jeffrey A. Rood ◽  
Steven Boyer ◽  
Allen G. Oliver
Keyword(s):  
Three Dimensional ◽  
Dimensional Structure ◽  
Cadmium Nitrate ◽  
Two Dimensional ◽  
X Ray Diffraction ◽  
One Dimensional ◽  
Phenyl Rings ◽  
Ft Ir ◽  
Ir Analysis ◽  
The One

Reaction of cadmium nitrate with diphenylphosphinic acid in dimethylformamide solvent yielded the one-dimensional coordination polymercatena-poly[[bis(dimethylformamide-κO)cadmium(II)]-bis(μ-diphenylphosphinato-κ2O:O′)], [Cd(C12H10O2P)2(C3H7NO)2]n, (I). Addition of 4,4′-bipyridine to the synthesis afforded a two-dimensional extended structure, poly[[(μ-4,4′-bipyridine-κ2N:N′)bis(μ-diphenylphosphinato-κ2O:O′)cadmium(II)] dimethylformamide monosolvate], {[Cd(C12H10O2P)2(C10H8N2)]·C3H7NO}n, (II). In (II), the 4,4′-bipyridine molecules link the CdIIcenters in the crystallographicadirection, while the phosphinate ligands link the CdIIcenters in the crystallographicbdirection to complete a two-dimensional sheet structure. Consideration of additional π–π interactions of the phenyl rings in (II) produces a three-dimensional structure with channels that encapsulate dimethylformamide molecules as solvent of crystallization. Both compounds were characterized by single-crystal X-ray diffraction and FT–IR analysis.

4,4′-Bipyridine–2,4-dihydroxybenzoic acid (1/1)

2006 ◽  
Vol 62 (7) ◽  
pp. o3031-o3032 ◽  
Author(s):  
Zi-Liang Wang ◽  
Lin-Heng Wei ◽  
Ming-Xue Li
Keyword(s):  
Hydrogen Bonds ◽  
Title Compound ◽  
Dimensional Structure ◽  
Two Dimensional ◽  
Dihydroxybenzoic Acid ◽  
One Dimensional ◽  
Π Interactions ◽  
Compound C

The title compound, C10H8N2·C7H6O4, consists of 4,4′-bipyridine and 2,4-dihydroxybenzoic acid molecules, which are linked via O–H...N hydrogen bonds, forming infinite one-dimensional chains. Adjacent chains are further linked into a two-dimensional structure by C—H...π interactions.

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