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Size dependent conduction characteristics of catalyst-multi-walled carbon nanotube junction
Barnett Chris J.,Orbaek White Alvin,Barron Andrew R. 한국탄소학회 2021 Carbon Letters Vol.31 No.5
Multi-walled carbon nanotubes (MWCNTs) grown by chemical vapor deposition retain the residual catalyst particles from which the growth occurred, which are considered a detriment to MWCNTs’ performance, especially electrical conductivity. The frst direct measurements have been made of the electrical transport through the catalyst cap into the MWCNT using nanoscale 2-point-probe to determine the efects of the catalyst particle’s size and the diameter ratio with its associated MWCNT on the electrical transport through the catalyst cap as compared to the inherent conductivity of the MWCNT. The MWCNT diameter is independent of the catalyst size, but the ratio of the catalyst cap diameter to MWCNT diameter (DC/DNT) determines the conduction mechanism. Where DC/DNT is greater than 1 the resulting I–V curve is near ohmic, and the conduction through the catalyst (RC+NT) approaches that of the MWCNT (RNT); however, when the DC/DNT<1 the I–V curves shift to rectifying and RC+NT> >RNT. The experimental results are discussed in relation to current crowding at the interface between catalyst and nanotube due to an increased electric feld.
AN IDENTITY FOR n-TIME DIFFERENTIABLE FUNCTIONS AND APPLICATIONS FOR OSTROWSKI TYPE INEQUALITIES
Barnett, N.S.,Dragomir, S.S. The Youngnam Mathematical Society Korea 2003 East Asian mathematical journal Vol.19 No.2
An identity for n-time differentiable functions of a real variable in terms of multiple integrals and applications for Ostrowski type inequalities are given.
A PERTURBED TRAPEZOID INEQUALITY IN TERMS OF THE FOURTH DERIVATIVE
Barnett, N.S.,Dragomir, S.S. 한국전산응용수학회 2002 The Korean journal of computational & applied math Vol.9 No.1
Some error estimates in terms of the p-norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.
A Note on Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram
Barnett, N.S.,Dragomir, S.S. 한국산업정보응용수학회 1998 한국산업정보응용수학회 Vol.2 No.2
In this paper, by the use of an Ostrowski type integral inequality for double integrals, we establish an upper bound for the estimation error variance of a continuous stream with stationary variogram.
Issues of Estimation in the Monitoring of Constant Flow Continuous Streams
BARNETT, N.S.,DRAGOMIR, S.S. 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.1
This paper deals with some fundamental matters pertaining to estimation of critical quantities associated with continuous processes which are frequently related to the quality rating of the product. Specifically, it examines bounds on estimation and bounds on the estimation error variance. It draws on recent results from the theory of mathematical inequalities and their applications.