TECHNICAL PAPERS: Microscale Heat Transfer

Thermal and Electrical Energy Transport and Conversion in Nanoscale Electron Field Emission Processes

[+] Author and Article Information
T. S. Fisher

Purdue University, School of Mechanical Engineering, 1288 Mechanical Engineering Building, West Lafayette, IN 47907-1288

D. G. Walker

Vanderbilt University, Department of Mechanical Engineering, Box 1592, Station B, Nashville, TN 37235

J. Heat Transfer 124(5), 954-962 (Sep 11, 2002) (9 pages) doi:10.1115/1.1494091 History: Received May 02, 2001; Revised November 05, 2001; Online September 11, 2002
Copyright © 2002 by ASME
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Nanotips for electron field emission: (a) Schematic of an energy conversion system including nanotip electron emitters (cathode), gate electrode, and anode; and (b) Example of a polycrystalline diamond nanotip emitter surrounded by a monolithic gate. The tip radius is ∼10 nm.
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Electron potential profile near a tip emitter. Solid line represents actual potential field. Dashed line represents approximate, linearized field. Both fields produce the same emission current.
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Electron potential as a function of position from emitter and emitter radius. All profiles produce the same current density, J=10 A/cm2. ϕ=1.7 eV. K=5.5.T=300 K.
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Average emitted and replacement electron energies as a function applied field. Average axial emitted energy=〈W〉. Average radial emitted energy 〈ερ〉. Average axial replacement energy=〈Wr〉. Average radial emitted energy 〈ερr〉. Figure inset shows net electron exchange energy as a function of applied field. Emitter characteristic radius R=10 nm. Work function ϕ=1.7 eV. K=5.5. Temperature T=300 K.
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Emission energy flux from the cathode as a function applied field F, emitter characteristic radius R, and work function ϕ: (a) ϕ=1 eV; (b) ϕ=1.7 eV; and (c) ϕ=3 eV. Each part shows curves for three emitter radii, R=10, 25, and 100 nm. K=5.5. Temperature T=300 K.
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Band diagrams for field emission from diamond: (a) Unbiased at thermal equilibrium; and (b) Field emission via tunneling from the base electrode to the cathode’s conduction band and from the conduction band to vacuum




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