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Related Concept Videos

P-N junction01:11

P-N junction

A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
Carrier Transport01:21

Carrier Transport

The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:

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Related Experiment Video

Updated: Jul 6, 2026

Creating Sub-50 Nm Nanofluidic Junctions in PDMS Microfluidic Chip via Self-Assembly Process of Colloidal Particles
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Knudsen diffusion in silicon nanochannels.

Simon Gruener1, Patrick Huber

  • 1Faculty of Physics and Mechatronics Engineering, Saarland University, D-66041 Saarbrücken, Germany.

Physical Review Letters
|March 21, 2008
PubMed
Summary
This summary is machine-generated.

Gas flow in nanoscale channels exhibits Knudsen diffusion. This study confirms classic scaling laws for diffusion coefficients and quantifies deviations due to channel geometry, validated by a unified flow model.

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Area of Science:

  • Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Gas transport in micro/nanoscale channels is crucial for various applications.
  • Understanding gas behavior at the nanoscale requires detailed analysis of transport regimes.
  • Knudsen diffusion is dominant when channel dimensions are comparable to the gas mean free path.

Purpose of the Study:

  • To investigate gas flow and diffusion in nanoscale channels.
  • To validate theoretical predictions for gas transport coefficients.
  • To quantify the impact of channel geometry on gas diffusivity.

Main Methods:

  • Gas permeation experiments using helium and argon in silicon membranes with 12 nm channels.
  • Electron microscopy for sub-nanometer scale characterization of channel geometry.
  • Analysis of gas transport across a wide range of Knudsen numbers (10^2 to 10^7).

Main Results:

  • Knudsen diffusion was observed for helium and argon across a broad Knudsen number range.
  • Experimental results confirmed the predicted temperature and mass scaling of diffusion coefficients.
  • Deviations from ideal cylindrical channels were found to reduce diffusivity, quantitatively explained by geometric factors.

Conclusions:

  • The study confirms the applicability of Knudsen diffusion and established scaling laws in nanoscale channels.
  • Channel geometry significantly impacts gas transport, necessitating precise characterization.
  • The unified flow model accurately describes gas permeation over multiple orders of magnitude in Knudsen number.