Effects of Temperature on Germanium Conductivity & Energy Gap

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SUMMARY

The conductivity of pure germanium increases by 50% when the temperature rises from 20°C to 30°C. This change is directly related to the number of electrons in the conduction band, which is influenced by temperature. For silicon, with an energy gap E_g of 1.1 eV, the percentage change in conductivity for the same temperature increase can be calculated using similar principles. Understanding these relationships is crucial for analyzing semiconductor behavior.

PREREQUISITES
  • Understanding of semiconductor physics
  • Familiarity with temperature dependence of conductivity
  • Knowledge of energy band theory
  • Basic proficiency in calculating percentage changes
NEXT STEPS
  • Research the relationship between temperature and conductivity in semiconductors
  • Learn about the energy gap E_g in various materials
  • Explore the mathematical models for electron mobility in conduction bands
  • Investigate the conductivity changes in silicon with varying temperatures
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Students and professionals in materials science, electrical engineering, and physics, particularly those focusing on semiconductor technology and conductivity analysis.

Larsson
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The conductivity of pure germanium increases by 50% when the temperature is increased from 20 degree C to 30 degree C. What is the energy gap E_g between the conduction and the valence bands of germanium?

b) For silicon E_g = 1.1eV, what is the percentage change in the conductivity for the same temperature change?

It would be nice if someone could take a few minutes to explain this.
 
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The standard procedure here is that you show what you've done so far and then you get help.

You need to relate the conductivity to the number of electrons in the conduction band as a function of temperature. That should give you a starting point.
 

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