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Related Concept Videos

Electric Field01:16

Electric Field

Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
In the new picture, imagine that the first charge sets up an electric field independent of all other charges in the universe. When another charge comes in its vicinity, the second charge experiences an electric force depending on the electric field at that point. The source charge does not...
Electric Field of a Non Uniformly Charged Sphere01:22

Electric Field of a Non Uniformly Charged Sphere

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for determining the expressions for the electric field for a particular charge distribution if the electric flux is known.
Consider a non-uniformly charged sphere, for which the density of charge depends only on the distance from a point in space and not on the direction. Such a sphere has a spherically symmetrical charge distribution. Here, the electric...
The Hall Effect01:30

The Hall Effect

Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Metal-Semiconductor Junctions01:24

Metal-Semiconductor Junctions

The contact of metal and semiconductor can lead to the formation of a junction with either Schottky or Ohmic behavior.
Schottky Barriers
Schottky barriers arise when a metal with a work function (Φm) contacts a semiconductor with a different work function (Φs). Initially, electrons transfer until the Fermi levels of the metal and semiconductor align at equilibrium. For instance, if Φm > Φs, the semiconductor Fermi level is higher than the metal's before contact. The semiconductor's...
Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...

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Related Experiment Video

Updated: Jun 20, 2026

Electrochemical Etching and Characterization of Sharp Field Emission Points for Electron Impact Ionization
06:58

Electrochemical Etching and Characterization of Sharp Field Emission Points for Electron Impact Ionization

Published on: July 12, 2016

Space charge effects in field emission nanodevices.

P Y Chen1, T C Cheng, J H Tsai

  • 1Sky-watcher Telescope and Optics Corp., Richmond, British Columbia V7A5C8, Canada. pychen@gmail.com

Nanotechnology
|September 10, 2009
PubMed
Summary

Space charge significantly impacts electron field emission in nanoelectronic devices at high current densities. This study analyzes its effects on diode and triode structures, revealing a link between current limitation and electric field distribution.

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Last Updated: Jun 20, 2026

Electrochemical Etching and Characterization of Sharp Field Emission Points for Electron Impact Ionization
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Published on: July 12, 2016

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Area of Science:

  • Physics
  • Materials Science
  • Nanotechnology

Background:

  • Electron field emission (FE) is a quantum mechanical process governed by the Fowler-Nordheim (FN) equation.
  • At high current densities, space charge effects can alter the predicted current density-voltage (J-V) characteristics.

Purpose of the Study:

  • To theoretically investigate the influence of space charge on field emission in nanodiode and nanotriode structures.
  • To analyze how geometry, dimensions, and material work functions affect space charge limitations.

Main Methods:

  • Solving the coupled Fowler-Nordheim and Poisson's equations.
  • Analytical solutions for diode structures and numerical solutions for triode structures.
  • Investigating various device geometries, dimensions, and emitter work functions.

Main Results:

  • Space charge plays a critical role in high current density field emission nanodevices.
  • The threshold current density for space-charge limitation is dependent on electric field distributions.
  • Theoretical predictions align well with previously reported experimental findings.

Conclusions:

  • Space charge is a key factor influencing the performance of field emission nanodevices, particularly at high current densities.
  • Understanding these effects is crucial for designing and optimizing nanodevices for specific applications.