What Happens When Semiconductor Intrinsic Carrier Density Exceeds 10^15 cm^-3?

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Discussion Overview

The discussion revolves around the implications of semiconductor intrinsic carrier density, particularly focusing on the threshold of 10^15 cm^-3 and its effects on the utility of semiconductors in applications. Participants explore whether there is a rule of thumb regarding this threshold and the empirical basis for specific intrinsic carrier concentrations in materials like germanium.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question whether there is a rule of thumb stating that intrinsic carrier density above 10^15 cm^-3 renders semiconductors ineffective for useful operations.
  • Others note that the intrinsic carrier concentration for germanium is approximately 2*10^13 cm^-3, suggesting that this value is considered too high for applications.
  • A participant inquires whether the 2*10^13 cm^-3 figure is based on empirical data or if there is a theoretical proof supporting this value.
  • Another participant asserts that the 2*10^13 cm^-3 number is empirical.
  • There are requests for links to references that discuss the intrinsic mobility and its implications for applications.
  • A participant expresses uncertainty about where the provided reference discusses the intrinsic mobility being considered too high for applications.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the existence of a rule of thumb regarding intrinsic carrier density and its implications. There are competing views on the relevance and application of the 2*10^13 cm^-3 figure.

Contextual Notes

The discussion includes references to empirical data and theoretical considerations but does not resolve the underlying assumptions or the specific context of the intrinsic carrier density values.

ZeroFunGame
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TL;DR
Is there a rule of thumb that once a semiconductor's intrinsic carrier density reaches 10^15 cm^-3, that the semiconductor cannot effectively be used to perform useful operations?
Is there a rule of thumb that once a semiconductor's intrinsic carrier density reaches 10^15 cm^-3, that the semiconductor cannot effectively be used to perform useful operations?
 
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ZeroFunGame said:
Summary: Is there a rule of thumb that once a semiconductor's intrinsic carrier density reaches 10^15 cm^-3, that the semiconductor cannot effectively be used to perform useful operations?

Is there a rule of thumb that once a semiconductor's intrinsic carrier density reaches 10^15 cm^-3, that the semiconductor cannot effectively be used to perform useful operations?
Never heard of such rule. Germanium intrinsic concentration is 2*10^13 cm^-3, and nowadays even this value is considered too high for applications.
 
trurle said:
Never heard of such rule. Germanium intrinsic concentration is 2*10^13 cm^-3, and nowadays even this value is considered too high for applications.

is the 2*10^13 cm^-3 number empirical? or is there a theoretical proof that could be stepped through to determine this value?
 
ZeroFunGame said:
is the 2*10^13 cm^-3 number empirical? or is there a theoretical proof that could be stepped through to determine this value?
Empirical.
 
link?
 
it's not clear where the reference discusses how the intrinsic mobility is considered too high for applications?
 

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