Direct measurement of the percolation probability in carbon nanofiber-polyimide nanocomposites.
Abstract
We present the first experimental measurement of the geometric critical exponent {beta} associated with the percolation probability, the probability a metallic filler belongs to the conducting network, of an electrical composite. The technique employs conducting-tip atomic force microscopy to obtain a conducting areal density, and is demonstrated on polyimide nanocomposites containing different concentrations of carbon nanofibers. We find {beta} {approx} 1 and t (the exponent for bulk conductivity) {approx} 3. These values are consistent with the predictions for the Bethe lattice and larger than the values predicted in the 3D lattice percolation model. Hence, this electrical composite likely belongs to the same universality class as the Bethe lattice. The ability to measure geometric and transport critical exponents on the same material is critical to drawing this conclusion.
- Authors:
-
- Air Force Research Laboratory, Wright-Patterson AFB, OH
- Publication Date:
- Research Org.:
- Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 967789
- Report Number(s):
- SAND2008-7732J
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US200924%%25
- DOE Contract Number:
- AC04-94AL85000
- Resource Type:
- Journal Article
- Journal Name:
- Proposed for publication in the Physical Review Letters.
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 11; Journal ID: ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 77 NANOSCIENCE AND NANOTECHNOLOGY; CARBON; FIBERS; NANOSTRUCTURES; IMIDES; ORGANIC POLYMERS; COMPOSITE MATERIALS; FILLERS; PROBABILITY; ELECTRIC CONDUCTIVITY
Citation Formats
Wang, David H, Trionfi, Aaron, Vaia, Richard A, Hsu, Julia W. P., Jacobs, J David, and Tan, L -Seng. Direct measurement of the percolation probability in carbon nanofiber-polyimide nanocomposites.. United States: N. p., 2008.
Web.
Wang, David H, Trionfi, Aaron, Vaia, Richard A, Hsu, Julia W. P., Jacobs, J David, & Tan, L -Seng. Direct measurement of the percolation probability in carbon nanofiber-polyimide nanocomposites.. United States.
Wang, David H, Trionfi, Aaron, Vaia, Richard A, Hsu, Julia W. P., Jacobs, J David, and Tan, L -Seng. 2008.
"Direct measurement of the percolation probability in carbon nanofiber-polyimide nanocomposites.". United States.
@article{osti_967789,
title = {Direct measurement of the percolation probability in carbon nanofiber-polyimide nanocomposites.},
author = {Wang, David H and Trionfi, Aaron and Vaia, Richard A and Hsu, Julia W. P. and Jacobs, J David and Tan, L -Seng},
abstractNote = {We present the first experimental measurement of the geometric critical exponent {beta} associated with the percolation probability, the probability a metallic filler belongs to the conducting network, of an electrical composite. The technique employs conducting-tip atomic force microscopy to obtain a conducting areal density, and is demonstrated on polyimide nanocomposites containing different concentrations of carbon nanofibers. We find {beta} {approx} 1 and t (the exponent for bulk conductivity) {approx} 3. These values are consistent with the predictions for the Bethe lattice and larger than the values predicted in the 3D lattice percolation model. Hence, this electrical composite likely belongs to the same universality class as the Bethe lattice. The ability to measure geometric and transport critical exponents on the same material is critical to drawing this conclusion.},
doi = {},
url = {https://www.osti.gov/biblio/967789},
journal = {Proposed for publication in the Physical Review Letters.},
issn = {0031-9007},
number = 11,
volume = 102,
place = {United States},
year = {Sat Nov 01 00:00:00 EDT 2008},
month = {Sat Nov 01 00:00:00 EDT 2008}
}