Electrical mobility definition confusion

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SUMMARY

The discussion clarifies the definition of electrical mobility (μ) as described in the Wikipedia article, specifically the equation v = μE. Participants highlight that while mobility is often presented as a positive value, it can be negative in semiconductors, indicating the behavior of electrons and holes. The conversation emphasizes the importance of vector notation in understanding the relationship between drift velocity (v) and electric field (E), as well as the need for rigorous sources beyond Wikipedia, such as Kittel's reference book.

PREREQUISITES
  • Understanding of electrical mobility and its mathematical representation
  • Familiarity with vector quantities in physics
  • Knowledge of semiconductor physics, particularly electron and hole behavior
  • Ability to interpret scientific literature and differentiate between scalar and vector relationships
NEXT STEPS
  • Study the concept of electrical mobility in semiconductors, focusing on electron and hole dynamics
  • Review vector calculus as it applies to physics, particularly in electromagnetism
  • Read Kittel's reference book on solid-state physics for a deeper understanding of mobility definitions
  • Explore advanced topics in semiconductor theory, including charge carrier concentration and mobility effects
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and researchers in semiconductor technology who seek to deepen their understanding of electrical mobility and its implications in various materials.

Wminus
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Hi! According to this http://en.wikipedia.org/wiki/Electrical_mobility, the definition of electrical mobility ##\mu## is:

##\vec{v} = \mu \vec{E}##. But since electrical mobility is always positive, this means that the velocity is always parallel to the E-field regardless of charge. How can this be?

thanks for all replies.
 
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Actually its not necessarily always positive. It can be negative in semiconductors.

Wikipedia is not a very rigorous source. It is good to get the idea of something and should not be taken too seriously. The mobility is defined as
v = +uE for 'holes.' And v = -uE for 'electrons.' Where v and E are vector quantities
 
Wminus said:
Hi! According to this http://en.wikipedia.org/wiki/Electrical_mobility, the definition of electrical mobility ##\mu## is:

##\vec{v} = \mu \vec{E}##. But since electrical mobility is always positive, this means that the velocity is always parallel to the E-field regardless of charge. How can this be?

thanks for all replies.
In the Wiki article they don't use vectors. The text explicitly mention that E is the magnitude of the electric field. So it is a scalar relation between the magnitudes of the drift velocity and of the electric field.
And this is how mobility is defined in Kittel's reference book: as ratio between magnitudes. The values of mobility are given as positive for both electrons and holes.
 
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Thanks guys
 
I apologise I should have been more specific that the minus sign cancels due to the relative direction of \vec v \ and\ \vec E]
 

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