Formulae for Dielectric Constant of Mixtures

Reynolds, J.A.; Hough, J.M.

doi:10.1088/0370-1301/70/8/306

Cited by 232 publications

(117 citation statements)

References 13 publications

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“…The dielectric constant of ethanol is 24 and that of water is 80. Hence, the dielectric constant of the mixture solution consisting of ethanol and water is less than that of water (Reynolds and Hough 1957). Hence, when ethanol is added to the solution of A-DNA, water and counterions, the electrostatic potential affects the hydration shells, and hence Na + counterions have greater improvement in counterion condensation with phosphate groups, resulting in decrease of phosphate-phosphate repulsion.…”

Section: Effect Of Ethanol On A-to B-dna Transitionmentioning

confidence: 99%

Interaction of nucleic acids with carbon nanotubes and dendrimers

2012

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Nucleic acid interaction with nanoscale objects like carbon nanotubes (CNTs) and dendrimers is of fundamental interest because of their potential application in CNT separation, gene therapy and antisense therapy. Combining nucleic acids with CNTs and dendrimers also opens the door towards controllable self-assembly to generate various supra-molecular and nano-structures with desired morphologies. The interaction between these nanoscale objects also serve as a model system for studying DNA compaction, which is a fundamental process in chromatin organization. By using fully atomistic simulations, here we report various aspects of the interactions and binding modes of DNA and small interfering RNA (siRNA) with CNTs, graphene and dendrimers. Our results give a microscopic picture and mechanism of the adsorption of single-and double-strand DNA (ssDNA and dsDNA) on CNT and graphene. The nucleic acid-CNT interaction is dominated by the dispersive van der Waals (vdW) interaction. In contrast, the complexation of DNA (both ssDNA and dsDNA) and siRNA with various generations of poly-amido-amine (PAMAM) dendrimers is governed by electrostatic interactions. Our results reveal that both the DNA and siRNA form stable complex with the PAMAM dendrimer at a physiological pH when the dendrimer is positively charged due to the protonation of the primary amines. The size and binding energy of the complex increase with increase in dendrimer generation. We also give a summary of the current status in these fields and discuss future prospects.[Nandy B, Santosh M and Maiti PK 2012 Interaction of nucleic acids with carbon nanotubes and dendrimers.

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Section: Effect Of Ethanol On A-to B-dna Transitionmentioning

confidence: 99%

Interaction of nucleic acids with carbon nanotubes and dendrimers

2012

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“…Otherwise, the equations are not consistent with the LLL mixing rule in the limiting case of high frequencies. For non-spherical particles, the polarizability of inclusions must be averaged over all three principal axes of the inclusion [13]. Two particular cases of non-spherical inclusions are of practical interest -nearly spherical inclusions and highly elongated inclusions (long fibers or platelets).…”

Section: Basic Mixing Rulesmentioning

confidence: 99%

Frequency-Dependent Effective Material Parameters of Composites as a Function of Inclusion Shape

Rozanov¹,

Koledintseva²,

Yelsukov³

2012

Composites and Their Properties

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“…If ν u = 0, the orientation is preferably in the upper halfplane, if ν u = 1, it is mainly in the lower half-plane, and if ν u = 1/2, the orientations are equally probable in both half-planes. Then the total probability of orientation with respect to the angle ϕ can be represented analogously to (22) as…”

Section: Inclusion Orientation Statisticsmentioning

confidence: 99%

“…where p(x) is the orientation probability density function defined in a manner similar to (22), V i is the volume of an inclusion (all the inclusions herein are assumed to be of the same volume), and n is the total number of inclusions per unit volume (concentration). …”

Section: Effective Permittivity For Some Particular Cases Of Orientedmentioning

confidence: 99%

“…In particular, in these works, the most widely used mixing rules, such as Maxwell Garnett (MG) [8] and Bruggeman [9], are applied to treat mixtures with random, statistically equal positions of inclusions in 3D space. Extraction of effective electromagnetic properties for ellipsoidal inclusions with arbitrary, yet fixed deterministic orientation in 3D space, when all inclusions are aligned, has also been studied, both analytically and numerically [10][11][12][13][14][15][16][17][18][19][20][21][22]. However, the problem of statistical distribution of angles of orientation of ellipsoidal inclusions is lacking attention.…”

Section: Introductionmentioning

confidence: 99%

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Maxwell Garnett Rule for Dielectric Mixtures With Statistically Distributed Orientations of Inclusions

Koledintseva

DuBroff²,

Schwartz³

2009

PIER

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Abstract-An analytical model of an effective permittivity of a composite taking into account statistically distributed orientations of inclusions in the form of prolate spheroids will be presented. In particular, this paper considers the normal Gaussian distribution for either zenith angle, or azimuth angle, or for both angles describing the orientation of inclusions. The model is an extension of the Maxwell Garnett (MG) mixing rule for multiphase mixtures. The resulting complex permittivity is a tensor in the general case. The formulation presented shows that the parameters of the distribution law for orientation of inclusions affect the frequency characteristics of the composites, and that it is possible to engineer the desirable frequency characteristics, if the distribution law is controlled.

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Formulae for Dielectric Constant of Mixtures

Cited by 232 publications

References 13 publications

Interaction of nucleic acids with carbon nanotubes and dendrimers

Interaction of nucleic acids with carbon nanotubes and dendrimers

Frequency-Dependent Effective Material Parameters of Composites as a Function of Inclusion Shape

Maxwell Garnett Rule for Dielectric Mixtures With Statistically Distributed Orientations of Inclusions

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