Single-walled carbon nanotubes are candidates for a number of electronics and sensing applications, provided nanotubes with semiconducting and metallic band structure can be separated. Dielectrophoresis has recently been demonstrated as a route towards the separation of metallic nanotubes from semiconducting nanotubes, and is moreover a method for controlled assembly of the nanotubes on microstructures that has the possibility to be scaled to wafer-level manufacturing. In this paper we will present numerical calculations of carbon nanotubes subjected to dielectrophoresis, drag force and Brownian motion induced by application of an ac voltage to a set of microelectrodes in a microliquid channel. We calculate the probability of capturing various types of carbon nanotubes, the time frame for the assembly and the efficiency of separation, for different experimental parameters. Our results suggest that relatively low frequencies, where both semiconducting and metallic nanotubes are subject to positive dielectrophoresis, may be optimal for separation, due to large differences in the magnitude of the dielectrophoretic force.
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