Electron tunneling in carbon blacks

Voet, Andries; Whitten, Wm.N.; Cook, F. Russell

doi:10.1007/bf01497077

Cited by 27 publications

(15 citation statements)

References 6 publications

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“…The mechanism of tunneling occurs when the distance between filler particles is small enough to allow the flow of electric current without direct contacts between the particles. This phenomenon is possible due to the ability of electrons to move between conductive elements through an insulator with a certain probability .…”

Section: Proposed New Modelmentioning

confidence: 99%

“…A mathematical model of conductivity in CPCs that accounts for the possibility of electron tunneling between filler particles is shown below .

\log σ = α \cdot φ^{1 / 3}

where σ is a conductivity of CPCs, α is a constant, and φ is the volume concentration of conductive filler.…”

Section: Introductionmentioning

confidence: 99%

“…A mathematical model of conductivity in CPCs that accounts for the possibility of electron tunneling between filler particles is shown below [38].…”

Section: Introductionmentioning

confidence: 99%

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A mathematical model for predicting conductivity of polymer composites with a forced assembly network obtained bySCFNAmethod

Kormakov

Huang

et al. 2018

Polymer Composites

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The Spatial Confining Forced Network Assembly, SCFNA, is a promising method for the preparation of high performance electrical conductive polymer composites, CPCs, by constructing a forced assembly conductive network in the polymer matrix. Because the present mathematical models for predicting electrical conductivities of CPCs were derived based on the free assembly of a conductive network, they were not suitable for predicting the electrical conductivities of the CPCs by SCFNA. A mathematical model for predicting the electrical conductivities of CPCs prepared by SCFNA was proposed in this article by introducing a compression ratio based on experimental data of the CPCs of PP/CF fabricated by SCFNA. The proposed model showed a good agreement with the experimental data of electrical conductivities prepared by SCFNA method. POLYM. COMPOS., 40:1819–1827, 2019. © 2018 Society of Plastics Engineers

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Section: Proposed New Modelmentioning

confidence: 99%

“…A mathematical model of conductivity in CPCs that accounts for the possibility of electron tunneling between filler particles is shown below .

\log σ = α \cdot φ^{1 / 3}

where σ is a conductivity of CPCs, α is a constant, and φ is the volume concentration of conductive filler.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A mathematical model for predicting conductivity of polymer composites with a forced assembly network obtained bySCFNAmethod

Kormakov

Huang

et al. 2018

Polymer Composites

View full text Add to dashboard Cite

show abstract

“…Voet et al [14] suggested a theory for low concentration fillers based on non-ohmic conduction in the system. Therefore, the conduction mechanism in this case cannot be considered as electronic in nature.…”

Section: Resultsmentioning

confidence: 99%

DC Electrical properties of graphytized carbon-black filled rubbers

Jawad

Al-Jundi

El‐Ghanem

2003

International Journal of Polymeric Materials

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The dc electrical behavior of graphytized carbon-blacks filled rubbers was investigated in the temperature range 25 C to 125 C. The volume fraction of the fillers varied from 30% to 60%. The observed conductivity increases with increasing filler contents. At a temperature higher than 25 C for 60% filler concentration the behavior is ohmic, where at lower concentration two well defined regions were observed to indicate two types of conduction mechanism. The activation energy for conduction process increases from 0.3 eV for 60% to attain about 0.98 eV for 30% fillers concentration. At 60% fillers concentration, fillers form a conductive network which is ohmic in nature.

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“…Voet model: The effect of filler concentration on the conductivity of polymer composite with conducting filler is described by Voet model [23]. According to the model prediction, the electrical conductivity is due to the electron emission phenomena.…”

Section: Applicability Of the Models For The Theoretical Calculation mentioning

confidence: 99%

Functionalized MWCNT and PVA Nanocomposite Membranes for Dielectric and Pervaporation Applications

Jose¹,

George²,

Mg³

et al. 2015

J Chem Eng Process Technol

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Novel PVA nanocomposite membranes were prepared with acid functionalized multiwalled carbon nanotubes (a-MWCNT) as the reinforcing material. The presence of functional groups on MWCNT is revealed by FTIR techniques. The excess swelling of poly (vinyl alcohol) (PVA) membranes were reduced by the crosslinking of glutraldehyde (GA). The functionalized MWCNT induces hydrophilicity to the PVA nanocomposites and the hydrophilic nature of the nanocomposites was revealed by the contact angle analysis. The effect of a-MWCNT concentration on the dielectric and DC conductivities of the PVA nanocomposites was studied very well. The electrical conductivity of the nanocomposites is increased with the concentration of MWCNT, and PVA with 1.5 wt% nanotube loaded membranes showed better dielectric properties. As the concentration of MWCNT increased to 1.5 wt%, the PVA nanocomposites got transformed from a region of insulator to semiconductor. DC conductivity also showed the same trend. The Voet model showed good agreement with the experimental results of the conductivity. We also found that the developed PVA/a-MWCNT nanocomposite membranes can be used to separate the azeotropic composition of water-ethanol mixtures. The pervaporation (PV) performance of the membranes is studied in terms of permeance and intrinsic selectivity. PVA with 0.5 wt% nanotube loaded nanocomposite membranes achieved 340% increment in intrinsic selectivity. The pervaporation performance of the membranes were in good agreement with the permeation ratio model, and the separation efficiency is influenced by the morphology of the membranes and the interaction of the filler and the permeates. It is also observed that the dielectric properties of the membranes were correlated with the concentration of the conductive nanofillers. Thus the present study provides good information on dielectric and the pervaporation performance of PVA/a-MWCNT nanocomposite membranes.

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Electron tunneling in carbon blacks

Cited by 27 publications

References 6 publications

A mathematical model for predicting conductivity of polymer composites with a forced assembly network obtained bySCFNAmethod

A mathematical model for predicting conductivity of polymer composites with a forced assembly network obtained bySCFNAmethod

DC Electrical properties of graphytized carbon-black filled rubbers

Functionalized MWCNT and PVA Nanocomposite Membranes for Dielectric and Pervaporation Applications

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