A review and analysis of electrical percolation in carbon nanotube polymer composites

A review and analysis of electrical percolation in carbon nanotube polymer composites

(2008) | Wolfgang Bauhofer, Josef Z. Kovacs
This review article examines the electrical percolation of carbon nanotubes (CNTs) in polymer composites, focusing on experimental and theoretical work. The authors provide a comprehensive survey of published data, evaluating parameters such as CNT type, synthesis method, treatment, dimensionality, polymer type, and dispersion method. These parameters are assessed for their impact on percolation threshold, scaling law exponent, and maximum conductivity. The article discusses the validity and limitations of statistical percolation theories, particularly the existence of lower kinetic and higher statistical percolation thresholds. Key findings include: 1. **Percolation Thresholds**: The percolation threshold is significantly influenced by the polymer matrix and dispersion method, rather than CNT type or production method. Optimized dispersion methods can achieve a percolation threshold of around 0.1 wt%. 2. **Kinetic vs. Statistical Percolation**: Kinetic percolation allows for particle movement and re-aggregation, leading to lower percolation thresholds. Statistical percolation involves randomly distributed filler particles forming percolating paths. 3. **Maximum Conductivities**: Maximum conductivities are generally higher for entangled MWCNTs compared to entangled SWCNTs. The effect of polymer tunneling barriers is dominant in determining overall composite conductivity. 4. **Theoretical Approaches**: Excluded volume theory and statistical percolation theory are discussed, with the latter showing that the critical exponent \( t \) depends on system dimensionality. However, experimental data for CNT/polymer composites yield values of \( t \) ranging from 1.3 to 4, peaking around 2. 5. **Electric Field Induced Percolation**: Electric fields can induce the formation of CNT networks, enhancing attractive forces between CNTs. AC fields are more effective than DC fields in increasing conductivity. The article concludes that the type and production method of CNTs are less important than the type of polymer and dispersion method in determining percolation thresholds and maximum conductivities.This review article examines the electrical percolation of carbon nanotubes (CNTs) in polymer composites, focusing on experimental and theoretical work. The authors provide a comprehensive survey of published data, evaluating parameters such as CNT type, synthesis method, treatment, dimensionality, polymer type, and dispersion method. These parameters are assessed for their impact on percolation threshold, scaling law exponent, and maximum conductivity. The article discusses the validity and limitations of statistical percolation theories, particularly the existence of lower kinetic and higher statistical percolation thresholds. Key findings include: 1. **Percolation Thresholds**: The percolation threshold is significantly influenced by the polymer matrix and dispersion method, rather than CNT type or production method. Optimized dispersion methods can achieve a percolation threshold of around 0.1 wt%. 2. **Kinetic vs. Statistical Percolation**: Kinetic percolation allows for particle movement and re-aggregation, leading to lower percolation thresholds. Statistical percolation involves randomly distributed filler particles forming percolating paths. 3. **Maximum Conductivities**: Maximum conductivities are generally higher for entangled MWCNTs compared to entangled SWCNTs. The effect of polymer tunneling barriers is dominant in determining overall composite conductivity. 4. **Theoretical Approaches**: Excluded volume theory and statistical percolation theory are discussed, with the latter showing that the critical exponent \( t \) depends on system dimensionality. However, experimental data for CNT/polymer composites yield values of \( t \) ranging from 1.3 to 4, peaking around 2. 5. **Electric Field Induced Percolation**: Electric fields can induce the formation of CNT networks, enhancing attractive forces between CNTs. AC fields are more effective than DC fields in increasing conductivity. The article concludes that the type and production method of CNTs are less important than the type of polymer and dispersion method in determining percolation thresholds and maximum conductivities.
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