Frequency-Independent [Formula Omitted] Circuit Model for One-Dimensional Carbon Nanostructures

We demonstrate that a frequency-independent parallel [Formula Omitted] circuit is the simplest model that accurately describes high-frequency electrical conduction in 1-D nanostructures. The resistance is determined from dc measurement, and the capacitance is extracted directly from the measured [Formula Omitted]-parameters for a ground-signal-ground test structure, without using any fitting parameter. The methodology is applied to carbon nanofibers, and the [Formula Omitted] model yields results that are within [Formula Omitted]0.5 dB and [Formula Omitted] of the measured [Formula Omitted]-parameters up to 50 GHz. The model is further justified by examining the relationship between [Formula Omitted]- and [Formula Omitted]-parameters of the test network.