By Slava V. Rotkin, Shekhar Subramoney
The ebook describes the state of the art in primary, utilized and gadget physics of nanotubes, together with fabrication, manipulation and characterization for machine purposes; optics of nanotubes; delivery and electromechanical units and basics of conception for functions. this knowledge is necessary to the sphere of nanoscience considering nanotubes have the capability to turn into a truly major digital fabric for many years to return. The e-book will profit all all readers drawn to the appliance of nanotubes, both of their theoretical foundations or in newly constructed characterization instruments which could allow functional equipment fabrication.
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Additional info for Applied Physics of Carbon Nanotubes: Fundamentals of Theory, Optics and Transport Devices
The most interesting term with n = −m is the mixing between the degenerate electron states within the same subband. By solving a secular equation for the intrasubband mixing of the electron doublet we obtain the splitting of the Van Hove singularity at the subband edge (Fig. 7). The new subband energy separation reads as: δEm = 8πeRσ m R 2h 2m . 28) Let us now calculate the injected/induced charge density σ which will allow us a numerical estimation for the δEm splitting. 28) are written for the given charge density σ, which will be derived in this section.
Heller and S. Baik: “The Selective Chemistry of Single Walled Carbon Nanotubes”, Chapter 6, in this volume. 8. S. Huang and J. Liu: “Direct Growth of Single Walled Carbon Nanotubes on Flat Substrates for Nanoscale Electronic Applications”, Chapter 4, in this volume. 9. T. B. Fowler, F. Stern: Rev. Mod. Phys. 54 (2), 437(1982) 10. J. Voit: Rep. Prog. Phys. 57, 977 (1995) 11. R. Aluru, J-P. Leburton, W. McMahon, U. V. Rotkin, M. Staedele, T. R. Tuttle and K. : W. Goddard, D. Brenner, S. J. Iafrate; (CRC Press 2002) 12.
1 Statistical Approach to Calculating Self-Consistent Charge Density in SWNT in Vacuum Let us consider an example of a speciﬁc nanoelectromechanical device, a SWNT switch, and derive its quantum capacitance. We deﬁne a cantilever geometry of the nanotube electromechanical switch as follows: a straight SWNT connected to a side electrode and suspended over a ground plane electrode (Fig. 2A), and a “string” geometry of a SWNT device, as follows: the straight nanotube ﬁxed (suspended without a slack) between two metal side electrodes over a backgate electrode (Fig.