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Electric field enhancement in field-emission cathodes based on carbon nanotubes |
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| Authors: | M D Bel’skii G S Bocharov A V Eletskii and T J Sommerer |
| Institution: | (1) Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 1 Nanyang Walk, Block 5, 637616 Singapore, Singapore;(2) School of Materials Science and Engineering, Nanyang Technological University, 1 Blk N4.1, 50 Nanyang Avenue, 639798 Singapore, Singapore;(3) Department of Physics, National University of Singapore, 2 Science Drive 3, 117542 Singapore, Singapore;(4) National University of Singapore Nanoscience and Nanotechnology Initiative, Blk S13, Science Drive 3, 117542 Singapore, Singapore;(5) Institute of Advanced Materials (IAM), Fudan University, 220 Handan Road, Shanghai, 200433, P.R. China; |
| Abstract: | The problem of determining the field enhancement factor in field-emission cathodes based on carbon nanotubes (CNTs) is considered. The electrostatic problem of finding the field enhancement factor for nanotubes with different shapes of the tip as a function of the angle the nanotube makes with the cathode surface and of the interelectrode spacing is solved. The dependence of the electric field enhancement factor on the spacing between vertically oriented nanotubes constituting an array is derived. Making allowance for this dependence gives an optimal value of the surface density of nanotubes in the array at which the emission current density is maximal. The I—V characteristic of CNT-based cathodes is studied with regard to the statistical straggling of their orientation angles. This I—V characteristic is compared with the characteristic obtained with regard to the statistical straggling of the CNT geometrical parameters. |
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