<i>Elementary Theory of Electric and Magnetic Fields</i>

Cheston, W. B.; Weller, Lawrence A.

doi:10.1063/1.3047916

Cited by 9 publications

(6 citation statements)

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“…This is modeled as point dipoles in the present calculation. The electrostatic energy, U ij , of a pair of dipoles, m i and m j , is given by (Cheston, 1964) …”

Section: Cluster Size In Na®onmentioning

confidence: 99%

Micromechanical analysis of ionic clustering in Nafion perfluorinated membrane

Nemat‐Nasser

2000

Mechanics of Materials

105

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The cluster morphology in a water-swollen Na®on per¯uorinated membrane is studied using a micromechanics approach. The cluster size is determined from the minimization of the free energy as a function of the equivalent weight of Na®on, the volume fraction of water, and the temperature, taking into account the electrostatic dipole interaction energy, the elastic polymer chain reorganization energy, and the cluster surface energy, leading to results which are in accord with experimental observations. By minimizing the sum of: (1) the electro-elastic interaction energy between an ionic cluster and the¯uorocarbon matrix, and (2) the cluster surface energy, it is concluded that the eective cluster shape is spherical in the absence of an electric ®eld, and becoming an oblate spheroid when an electric ®eld is applied. The eect of cluster morphology on the eective electro-elastic moduli and the eective ionic conductivity is then studied by a micromechanical multi-inclusion model. The result seems to describe the available empirical relation when a spherical cluster shape is assumed. It correctly predicts the insulator-to-conductor transition which occurs in Na®on, as the water volume fraction is increased. Ó

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“…This is modeled as point dipoles in the present calculation. The electrostatic energy, U ij , of a pair of dipoles, m i and m j , is given by (Cheston, 1964) …”

Section: Cluster Size In Na®onmentioning

confidence: 99%

Micromechanical analysis of ionic clustering in Nafion perfluorinated membrane

Nemat‐Nasser

2000

Mechanics of Materials

105

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“…Since we assume that the exact equation of the surface is available (preferably as a parametric equation), it is easier to implement a method that integrates surface force densities to compute the nodal forces. The basic equation for magnetic force density [67] can be derived from energy balance equations and is given by…”

Section: Magnetic Force Computationmentioning

confidence: 99%

Multifunctional Composite Structures

Kumar¹

2010

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“…where φ ms is the sum of the contact potential between the gate and the substrate, and C ox is the gate oxide capacitance given by [37,38] …”

Section: Drainmentioning

confidence: 99%

Transfer characteristics and high frequency modeling of logic gates using carbon nanotube field effect transistors (CNT-FETs)

Marulanda

Srivastava

Sharma

2007

Proceedings of the 20th Annual Conference on Integrated Circuits and Systems Design

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In the present work, current model equations from an analytical model for carbon nanotube field effect transistors are utilized to calculate the transfer characteristics of different logic gates such as inverters, NAND gates, and NOR gates. A small signal model has been implemented and the necessary parameters have been calculated to describe the high frequency response for these logic gates. Results show that how different diameters and wrapping angles of carbon nanotubes, determined by the chiral vector (n,m), can change the transfer characteristics, small signal parameters, and high frequency response for devices based on carbon nanotubes.

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Elementary Theory of Electric and Magnetic Fields

Cited by 9 publications

References 0 publications

Micromechanical analysis of ionic clustering in Nafion perfluorinated membrane

Micromechanical analysis of ionic clustering in Nafion perfluorinated membrane

Multifunctional Composite Structures

Transfer characteristics and high frequency modeling of logic gates using carbon nanotube field effect transistors (CNT-FETs)

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