On the varieties of ai-semirings satisfying $${x^{3}\approx x}$$ x 3 ≈ x

Ren, Miao Miao; Zhao, Xianzhong; Wang, Aifa

doi:10.1007/s00012-017-0438-z

Cited by 20 publications

(15 citation statements)

References 23 publications

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“…The dashed line refers to the binding energy for the experimental value of the binding energy between benzene and graphene (−13.6 kcal/mol) For the (n, n)/Ben exohedral complexes, term d1 decreases with increasing CNT diameter. However, the (6, 6), (7,7), and (8,8) CNTs have a very small diameter, and their d1 is slightly smaller than (9,9) CNT. For the (n, 0)/Ben complexes, the very small diameter CNTs have smaller d1 as well.…”

Section: The Stability and Binding Energy For The Cnt/benzene Complexmentioning

confidence: 99%

“…CNT (as Figure 4 [14-16]). We put three pentagon-shaped spiral structure with six benzenes inside CNT, and we obtained a very beautiful F I G U R E 3 The binding structure of benzene with (6, 6), (7,7), (10, 0), (11,0), and (12, 0) CNTs, where the CNT before distortion colored as green assembled tube structure of benzenes inside of (10, 10) CNT. Every spiral structure has a pentagon shape and every three benzenes at the same z direction form a triangle shape.…”

Section: Structural Properties Of Cnt (10 10)/kbenmentioning

confidence: 99%

“…CNTs have a large surface area and offer strong interactions between the CNT and small molecules; thus, the use of CNTs for adsorption-based environmental remediation has been studied theoretically and experimentally. [7][8][9] CNTs are an important carbon-based adsorptive material with exceptional adsorption capabilities and high adsorption efficiency for various organic pollutants. [10][11][12][13][14][15][16] CNTs are particularly promising as a benzene adsorbent for environmental protection/remediation.…”

Section: Introductionmentioning

confidence: 99%

“…Computational and experimental methods have been widely used to study the distribution of benzene inside and outside the CNT. For example, Tournus and Charlier [23] studied the adsorption of 1-benzene on the sidewall of CNT with various zig-zag [ (7,0), (8, 0) (10, 0) (13,0) and (17,0)], armchair [(4, 4), (5,5), (6,6), and (7,7)], and chiral [(8, 2)] conformations via the density functional theory-local density approximation (DFT-LDA) method. Disparities between the nonequivalent bonds of a CNT in terms of the orbital axis vector misalignment were discussed, and they indicated that the larger diameter nanotubes were the most reactive.…”

Section: Introductionmentioning

confidence: 99%

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Endohedral and exohedral complexes of 1‐benzene with carbon nanotubes and high‐density assembly of multiple benzenes inside of a carbon nanotube

Jiang

Wang

2019

Int J of Quantum Chemistry

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The 1‐benzene was put on the inside and surface of various armchair (n, n) (n = 6‐12, 14) and zigzag (n, 0) (n = 10‐17, 20) nanotubes of different diameters. The binding structure, binding energy, and effects on binding energy were analyzed. All interaction structures and the properties of the assembled complexes were investigated via density functional tight‐binding method. Furthermore, we put multiple benzene molecules (2‐18 benzenes) inside the armchair (10, 10), (9, 9), and (8, 8) carbon nanotubes (CNTs) and found that two types of structures were formed for the endohedral complexes of multiple benzenes‐spiral symmetrical polygon and criss‐crossed types, respectively. The detail of the binding energies and structure properties for (10, 10)/kBen (k = 1‐6, 18), (9, 9)/kBen (k = 4, 5, 15), and (8, 8)/kBen (k = 1‐8) were discussed. Furthermore, the HOMOs and LUMOs of the representative complexes were also studied to illustrate the interactions. This article offers a new assembly method to prepare a high density of benzenes inside of CNTs and offers a method for benzene adsorption by CNT.

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Section: The Stability and Binding Energy For The Cnt/benzene Complexmentioning

confidence: 99%

Section: Structural Properties Of Cnt (10 10)/kbenmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Endohedral and exohedral complexes of 1‐benzene with carbon nanotubes and high‐density assembly of multiple benzenes inside of a carbon nanotube

Jiang

Wang

2019

Int J of Quantum Chemistry

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“…The reaction diagram of synthesizing the CNT-Sn 3 (TMT) 2 (CST) is shown in Figure 1c. As multiwalled CNTs can act as "adsorbents" for metal ions, [31][32][33][34][35] we use this property to induce the Sn 3 (TMT) 2 particles grow on the surface of CNTs. Figure 2b shows the SEM image of CST.…”

Section: Phase and Morphologymentioning

confidence: 99%

Synthesis of Metal–Organic Sulfides as Anode Materials for Lithium‐Ion Batteries at Room Temperature

Chen

et al. 2019

Energy Tech

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To relieve the volume effect of metal‐based anode materials for lithium‐ion batteries the size of the active material is reduced to a limit, and organic frameworks are used to provide cushioning for volume expansion. Tin‐based sulfide is designed by 1,3,5‐triazine‐2,4,6‐trithiol trisodium (TMT), and tin dichloride is synthesized at room temperature. TMT like the “solvent” of metal ions has a good electrical conductivity, which makes metal ions disperse in the organic conductive skeleton at the atomic level. A carbon nanotube is introduced to enhance the conductivity among the active particles, and the tin‐based materials deliver a high specific capacity of 713 mAh g−1 at a current density of 500 mA g−1 after 500 cycles. In addition, using Ni2+, Co2+, or Mn2+ instead of Sn2+, the conversion type of the metal‐based anode materials are prepared by the same method, and they also exhibit excellent electrochemical properties.

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Enhancement of heavy metal ion adsorption using electrospun polyacrylonitrile nanofibers loaded with ZnO nanoparticles

Haddad

Alharbi

2018

J of Applied Polymer Sci

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This article describes the adsorption and tensile behavior of electrospun polyacrylonitrile (PAN) nanofiber mats loaded with different amounts of ZnO [0.5, 1.0, 2.0, and 5.0 wt%] nanoparticles. X‐ray diffraction (XRD), scanning electron microscopy (SEM), Fourier transforminfrared (FTIR) spectroscopy, and thermal gravimetric analysis (TGA) were utilized to characterize the resulting composite nanofibers. Microscopic investigations revealed that the increase in surface roughness and diameter of the electrospun PAN nanofibers was due to the addition of ZnO nanoparticles. Adsorption results indicated that the fabricated PAN/ZnO (2.0 wt%) composite nanofiber mats showed the best adsorption performance with 261% and 167% increase in adsorption capacities for Pb(II) and Cd(II) from aqueous solutions, respectively, compared to pristine PAN nanofibers. The adsorption equilibrium was reached within 60 min, and the process could be described using the nonlinear pseudo‐second‐order kinetic model. The adsorption isotherm study was better represented by the Langmuir model, which suggested a homogeneous distribution of the monolayer adsorptive sites on the surface of the composite nanofibers. Mechanical testing revealed that the decrease in tensile strength and elongation at breakof the PAN/ZnO composite nanofiber mats was due to the formation of some bead defects and agglomerates within the structure of the PAN nanofibers. © 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019, 136, 47209.

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On the varieties of ai-semirings satisfying $${x^{3}\approx x}$$ x 3 ≈ x

Cited by 20 publications

References 23 publications

Endohedral and exohedral complexes of 1‐benzene with carbon nanotubes and high‐density assembly of multiple benzenes inside of a carbon nanotube

Endohedral and exohedral complexes of 1‐benzene with carbon nanotubes and high‐density assembly of multiple benzenes inside of a carbon nanotube

Synthesis of Metal–Organic Sulfides as Anode Materials for Lithium‐Ion Batteries at Room Temperature

Enhancement of heavy metal ion adsorption using electrospun polyacrylonitrile nanofibers loaded with ZnO nanoparticles

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