What is a hole and how does it relate to electricity?

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    Hole
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Discussion Overview

The discussion revolves around the concept of "holes" in the context of electricity, particularly in semiconductors. Participants explore the nature of holes, their behavior in relation to electrons, and implications for phenomena such as the Hall effect. The conversation includes theoretical explanations, conceptual clarifications, and challenges to existing viewpoints.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants define holes as the absence of electrons, suggesting that current flows in the direction of these absences, which are treated as positive charges.
  • Others argue that the behavior of holes does not fully align with this definition, particularly in relation to the Hall effect, which shows positive Hall voltage when holes are present.
  • A participant presents a model involving hydrogen atoms to illustrate how removing an electron creates a positive charge, which they relate to the movement of holes.
  • Some participants discuss the implications of effective mass, suggesting that holes may have a positive effective mass due to the nature of electrons at the upper end of the band structure.
  • There are claims that the Hall effect does not adequately describe what a hole is, emphasizing that a hole is not a particle but rather an absence of one, with implications for how holes behave in different materials.
  • Participants highlight contradictions in diagrams and reasoning regarding the direction of current and the behavior of charge carriers under magnetic fields, particularly in relation to the Lorentz force.
  • There is mention of the complexity introduced when both holes and electrons are present in semiconductors, affecting the polarity of the Hall voltage.

Areas of Agreement / Disagreement

Participants express differing views on the nature of holes and their implications for electrical behavior, particularly in relation to the Hall effect. There is no consensus on a single definition or explanation, and the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Some discussions involve assumptions about charge carriers and their behavior under various conditions, which may not be universally accepted. The complexity of the Hall effect in semiconductors, particularly regarding the roles of different charge carriers, is noted but not fully resolved.

  • #61
I would just like to point out the the Left Hand Rule is predicated upon the use of the direction of conventional current. It is the motor rule and will give the correct direction for force or motion only when the direction of the second finger is aligned with the direction of conventional current.

The Right Hand Rule is the generator rule and gives correct (voltage) polarity, regardless of charge carriers because it defines a voltage, not a current.

When considering the vector cross products the right hand rule should be used in any case.
 

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