Hindawi Publishing Corporation
Journal of Nanomaterials
Volume 2008, Article ID 954874, 3 pages
A New Resistance Formulation for Carbon Nanotubes
Ji-Huan He1, 2
1Key Laboratory of Science & Technology of Eco-Textile, Donghua University, Ministry of Education, Shanghai 200051, China
2Modern Textile Institute, Donghua University, 1882 Yan’an Xilu Road, Shanghai 200051, China
Correspondence should be addressed to Ji-Huan He, firstname.lastname@example.org
Received 1 February 2008; Accepted 5 May 2008
Recommended by Xuedong Bai
A new resistance formulation for carbon nanotubes is suggested using fractal approach. The new formulation is also valid for
other nonmetal conductors including nerve fibers, conductive polymers, and molecular wires. Our theoretical prediction agrees
well with experimental observation.
Copyright © 2008 Ji-Huan He. This is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We know from Ohm’s law that the current flows down a
voltage gradient in proportion to the resistance in the circuit.
Current is therefore expressed in the following form:
I = E
where I is the current, E is the voltage, R is the resistance. The
resistance, R, in (1) is expressed in the form
R = kL
where A is the area of the conductor, L is its length, r is the
radius of the conductor, and k is the resistance parameter.
Equation (2) is actually valid only for metal conductors
where there are plenty of electrons in the conductor.
The exponent, 2, in (2) can be interpreted as the fractal
dimension of the section.
For nonconductors (e.g., nerve fibers [1, 2], conductive
polymers , charged electrospun jets [4–6]), we suggested
a modified resistance formulation discussed in the next
2. ALLOMETRIC MODEL
The resistance for Ohm conductor (see Figure 1) scales as
RC ∝ L
So for the Ohmic bu