A Family of Overconstrained 6R Linkages With the Rotational Symmetry of Order 2

Author(s):  
Ketao Zhang ◽  
Jian S. Dai

This paper presents a family of overconstrained 6R linkages with the rotational symmetry of order 2 which refers to rotation by an angle of 360°/n (n = 2) with respect to a particular axis leaves the linkage unchanged. The overconstrained 6R linkages are evolved from a reconfigurable 8R linkage which is extracted from deployable origami-fold. The structure evolution of the 8R linkage takes the concept of metamorphosis in the sense of structural evolution. This leads to a generic way for investigating new mechanisms inspired from origami fold. The geometry and two-fold rotational symmetry reveal that the overconstrained 6R linkages are special line-symmetric Bricard 6R loops and the parametric constraints of the 6R linkages are identified. The kinematics of the overconstrained 6R linkage is analyzed and motion parameters of the joint space are derived. The unique mobility of the overconstrained 6R linkages is further verified in terms of screw theory.

2014 ◽  
Vol 6 (2) ◽  
Author(s):  
Ketao Zhang ◽  
Jian S. Dai

This paper presents a novel metamorphic 8R linkage extracted from a kirigami-fold with pregrooved creases and two overconstrained 6R linkages evolved from the 8R linkage by taking the concept of metamorphosis in the sense of structural evolution. The geometric characteristics and the parametric constraints of the evolved 6R linkages are identified following the structural evolution of the 8R linkage. The paper reveals that the evolved 6R linkages are special line-symmetric Bricard 6R loops characterized by the rotational symmetry of order two. The joint space of the overconstrained 6R linkages is analyzed and the relationship between motion parameters of the evolved 6R linkages and reconfiguration parameters of the metamorphic 8R linkage are derived. The motion characteristics of the overconstrained 6R linkages are further verified in terms of screw theory. The bifurcation and trifurcation associated with various transitory positions of the evolved 6R linkages having distinct parametric constraints are consequently identified based on constraint analysis.


2019 ◽  
Vol 55 (54) ◽  
pp. 7800-7803 ◽  
Author(s):  
Ruicong Xie ◽  
Ying Cui ◽  
Tong Zhou ◽  
Junqiang Ren ◽  
Longchao Zhuo ◽  
...  

Pure 1T SnS2 was synthesized by the hydrothermal method and its atomic image was obtained. The Li-storage performance and its structure evolution were revealed by ex situ TEM.


2005 ◽  
Vol 863 ◽  
Author(s):  
D.P. Field ◽  
NJ Park ◽  
PR Besser ◽  
JE Sanchez

AbstractStructure evolution in plated Cu films is a function of sublayer stacking, film thickness, plating chemistry, plating parameters, and temperature. The present work examines grain growth and texture evolution in annealed plated Cu on a 25 nm thick Ta sublayer for films of 480 and 750 nm in thickness. These results are compared against those obtained from damascene Cu lines fabricated from a similar process, using a series of line widths. The results show that the initial structures of the plated films are similar, with slightly weaker (111) texture, a higher fraction of twin boundaries, and larger grains in the thicker films. The microstructure of the Cu within the trench constraints is a strong function of line geometry with the propensity for twin boundary development controlling structural evolution.


2010 ◽  
Vol 132 (12) ◽  
Author(s):  
Ketao Zhang ◽  
Jian S. Dai ◽  
Yuefa Fang

This paper presents a metamorphic kinematic pair extracted from origami folds in the context of mechanisms, its evolved metamorphic chain, and the novel metamorphic parallel mechanism. This paper starts from the generic issues of topological representation for metamorphic mechanism, leading to unified elementary matrix operation for presentation of topological variation. Phase matrix and augmented adjacency matrix are developed to present the topological state and geometry of metamorphic mechanism in an evolutionary process. The metamorphic kinematic pair has the ability of changing mobility to generate different motion patterns based on mobility change correlated with the link annex induced topological phase change. This paper then investigates topological variation of the metamorphic chain and the topological subphases are enumerated in accordance with structure evolution. Using the metamorphic chain as chain-legs, a multiloop metamorphic mechanism with ability of performing phase change and orientation switch is constructed. The disposition of constraints and geometric constraints induced bifurcated motion are analyzed based on screw theory. The topological variation of the metamorphic parallel mechanism is addressed and the foldability is verified by physical device.


Author(s):  
Mubarak Ali

Many studies deal synthesis of carbon materials including all the disclosed states. This study describes the binding mechanism of different state carbon atoms. The binding energy as per gauge of certain state carbon atom is being invited under the application of force. In evolving different structures of carbon atoms their admissible electron-dynamics generate binding energy. Evolution of graphite structure is one-dimensional when certain amalgamated atom executes electron-dynamics to gain stable state to bind atom of attained stable state. Evolution of graphite structure is two-dimensional when amalgamated atoms under attained dynamics deal difference in surface format forces at the point of binding. Structural evolution is two-dimensional for nanotube and four-dimensional for fullerene (bucky balls). Structure evolution of graphite, nanotube and fullerene involve surface format forces mainly to invite binding energy of their atoms as per gauge of electron-dynamics. Structural evolutions of diamond and Lonsdaleite are under the joint application of surface format forces and grounded format forces to invite binding energy of atoms. Structural evolution of graphene involves both surface and space format forces to invite binding energy of atoms. Glassy carbon is related to layered wholly topological structure where layers of gas state carbon atoms, graphitic state and lonsdaleite state are being involved in successive manner to invite binding energy under space, surface and grounded format forces. Due to maintenance of electrons, carbon atoms do not bind when in the gas state. Diamond is south to ground tetra-dimensional, Lonsdaleite is south to ground bi-dimensional and graphene is ground to north tetra-dimensional topological structures. The Mohs hardness of carbon-based materials under different levitation gravitation behaviors attempting at electron level under contraction expansion of clamping energy knot is sketched. Carbon atoms when in fullerene structure is the best model to understand the influencing force at ground surface and the best model to explain binding mechanism in atoms of other elements.


RSC Advances ◽  
2022 ◽  
Vol 12 (1) ◽  
pp. 62-71
Author(s):  
Qing Liu ◽  
Xiaoxu Wang ◽  
Lu Li ◽  
Keke Song ◽  
Yanzhou Wang ◽  
...  

Catalytic properties and structure evolution of a PdCu nanoalloy with a novel crown-jewel structure are explored using DFT calculations and MD simulations.


2020 ◽  
Author(s):  
Xi Wu ◽  
Xinghua Liang ◽  
XiaoFeng Zhang ◽  
Lingxiao Lan ◽  
Suo Li ◽  
...  

Abstract Solid-state batteries are one of the effective way to solve the safety of traditional power and energy storage batteries with flammable liquid electrolyte. This time, a quasi-solid-state lithium battery is assembled by plasma sprayed amorphous Li 4 Ti 5 O 12 (LTO) electrode and ceramic/polymer composite electrolyte with a little liquid electrolyte (10 μl/cm 2 ) to provide the outstanding electrochemical stability and better than normal interface contact. SEM, STEM, TEM and EDS were used to analyze the structure evolution and performance of plasma sprayed amorphous LTO electrode and ceramic/polymer composite electrolyte before and after electrochemical experiments. By comparing the electrochemical performance of the amorphous LTO electrode and the traditional LTO electrode, the electrochemical behavior of different electrodes is studied. The results show that plasma spraying can prepare an amorphous Li 4 Ti 5 O 12 electrode coating of about 8 μm. After 200 electrochemical cycles, the structure of the electrode evolved, and the inside of the electrode fractured and cracks expanded, because of recrystallization at the interface between the rich fluorine compounds and the amorphous LTO electrode. Similarly, the ceramic/polymer composite electrolyte has undergone structural evolution after 200 cycles test. The electrochemical cycle results show that the cycle stability, capacity retention rate, coulomb efficiency, and internal impedance of amorphous LTO electrodes are better than traditional LTO electrode. This innovative and facile quasi-solid-state strategy is aimed to promote the intrinsic safety and stability of working lithium battery, shedding light on the development of next-generation high-performance solid-state lithium batteries.


Author(s):  
Mubarak Ali

Many studies deal synthesis of carbon materials including all the disclosed states. This study describes the binding mechanism of different state carbon atoms. The binding energy as per gauge of certain state carbon atom is being invited under the application of force. In evolving different structures of carbon atoms their admissible electron-dynamics generate binding energy. Evolution of graphite structure is one-dimensional when certain amalgamated atom executes electron-dynamics to gain stable state to bind atom of attained stable state. Evolution of graphite structure is two-dimensional when amalgamated atoms under attained dynamics deal difference in surface format forces at the point of binding. Structural evolution is two-dimensional for nanotube and four-dimensional for fullerene (bucky balls). Structure evolution of graphite, nanotube and fullerene involve surface format forces mainly to invite binding energy of their atoms as per gauge of electron-dynamics. Structural evolutions of diamond and Lonsdaleite are under the joint application of surface format forces and grounded format forces to invite binding energy of atoms. Structural evolution of graphene involves both surface and space format forces to invite binding energy of atoms. Glassy carbon is related to layered wholly topological structure where layers of gas state carbon atoms, graphitic state and lonsdaleite state are being involved in successive manner to invite binding energy under space, surface and grounded format forces. Due to maintenance of electrons, carbon atoms do not bind when in the gas state. Diamond is south to ground tetra-dimensional, Lonsdaleite is south to ground bi-dimensional and graphene is ground to north tetra-dimensional topological structures. The Mohs hardness of carbon-based materials under different levitation gravitation behaviors attempting at electron level under contraction expansion of clamping energy knot is sketched. Carbon atoms when in fullerene structure is the best model to understand the influencing force at ground surface and the best model to explain binding mechanism in atoms of other elements.


Author(s):  
Mubarak Ali

Many studies discuss carbon-based materials because of the versatility of the carbon element. They present different sorts of understandings fairly at convincing and compelling levels. A gas-state carbon atom converts into its various states depending on the conditions of processing. The electron transfer mechanism in the gas-state carbon atom is responsible for its conversion to various states, namely, graphite, nanotube, fullerene, diamond, lonsdaleite and graphene. The shape of energy responsible to transfer electron from the sides (east- and west-poles) of its atom is like parabola. That energy is linked to states (from filled state to nearby unfilled state) where exerted force to relevant poles of transferring electron is remained neutral. So, the mechanism of originating different states from a gaseous carbon atom is under the involvement of energy at first, which is not the case for atoms executing their confined inter-state electron-dynamics where force is involved at first. Structure evolved in graphite-, nanotubes- and fullerene-states have respectively one-dimensional, two-dimensional and four-dimensional atoms. Moreover, the associated energy curve is a parabola, indicating the transfer of electrons under neutral exertion of forces to their relevant poles. The graphite structure under only attained-dynamics of atoms is also developed but in two-dimension. Here, binding energy between graphitic carbon atoms is engaged under the influence of a small difference available between their involved forces along opposite poles. Structural evolution in diamond, lonsdaleite and graphene atoms involve potential energy of electrons required to undertake infinitesimal displacements under orientationally-controlled exerting forces to their relevant poles. In this study, the growth of diamond is found to be south to ground where atoms bound ground to south. Thus, diamond atoms merge for a tetra-electron ground to south topological structure. Lonsdaleite atoms merge for a bi-electron ground to just-south topological structure. The growth of graphene was just-north to ground; however, the binding of atoms was ground to just-north showing tetra-electrons ground to just-north topological structure. Glassy carbon exhibits layered-topological structure which successively binds tri-layers of gas-, graphite- and lonsdaleite-state atoms in repetitive manner. Orientating pair of electrons of each atom of below gas layer and above lonsdaleite layer enter from the rear side and front side respectively to undertake another clamping of unfilled energy knots belonging to each atom of intermediate graphitic layer. Different carbon atoms develop amorphous structures when they bind under frustrating amalgamation. Hardness of carbon-based materials was also sketched in the light of force-energy behaviors of different state carbon atoms. Here, structure evolution in each carbon state atom explores its own science.


2014 ◽  
Vol 70 (a1) ◽  
pp. C1832-C1832
Author(s):  
Charef Tabti ◽  
Abdelkader Chouaih ◽  
Fodil Hamzaoui

Structural evolution of LiNbO3 with temperature. A comparative study was made by X-ray diffraction on a single crystal of lithium niobate (LiNbO3) at low temperature (120K) and room temperature (293K). LiNbO3 is a ferroelectric compound particularly interesting for applications in the nonlinear optics field. After a recording of high resolution X-ray diffraction data, we used Blessing formalism for the reduction and the processing of the raw data. Structure refinement was carried out by program SHELXL. The results of the refinement led to a reliability factor of about 6% at T = 293K and of 3% at T = 120K. The structure evolution study of lithium niobate with temperature made it possible to highlight the compound stability in the investigated temperature range. Results show a light displacement (about 0.01Å) of oxygen atoms around the Li - Nb bond.


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