Analysis of electrical percolation thresholds in carbon nanotube networks using the Weibull probability distribution

We suggest a method for the a priori determination of the electrical percolation threshold in carbon nanotube (CNT) networks, of relevance in electronic devices, polymer composites, etc. The variability in the CNT lengths, commonly observed in practical processing and dispersion, was also considered and the resulting probability distribution function determined to be of the Weibull type. Subsequently, the predicted percolation threshold volume fractions for single-walled CNTs, similar to 0.000 73 and multiwalled CNTs, similar to 0.0193, were found to be in close correspondence to the experimentally determined values of 0.0011 and 0.0147, respectively. (C) 2010 American Institute of Physics. [doi:10.1063/1.3452361]