Is it possible to label the Debye temperature on a graph of

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Discussion Overview

The discussion revolves around the relevance of the Debye temperature in the context of a resistivity graph for semiconductors and metals. Participants explore the relationship between Debye temperature and various physical properties, including heat capacity and resistivity, particularly in relation to temperature variations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether the Debye temperature is significant on a resistivity graph, suggesting it may indicate a transition point where a semiconductor behaves more like a metal.
  • Another participant challenges the connection between Debye temperature and the excitation energy of donors, asking for clarification on the relevance of Debye temperature in this context.
  • A participant expresses difficulty in relating Debye temperature to resistivity, noting that multiple derivations yield different results for temperatures above and below the Debye temperature.
  • There is a request for clarification on the specific derivations being referenced in the discussion.
  • A participant lists various derivations related to heat capacity and electron-phonon interactions, indicating a range of models considered for both high and low Debye temperatures.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the significance of Debye temperature in relation to resistivity. Multiple competing views are presented regarding its relevance and implications.

Contextual Notes

Participants mention several derivations and models, but there are unresolved questions about their applicability to resistivity and the specific conditions under which they hold. The discussion reflects a range of assumptions and interpretations regarding the relationship between Debye temperature and material properties.

rwooduk
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Resistivity. Take this graph for example, is the Debye temperature relavant here? Would the Debye temperature be the point where the semiconductor starts to become like a metal? i.e. where the curve goes from minimum to linear?

Image66.gif


I understand the heat capacity relation i.e. from T^3 to 3nNk but struggling with the resistivity relation.
 
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This temperature is related to the excitation energy of the donors.Why do you think it will be related to Debye temperature?
 
nasu said:
This temperature is related to the excitation energy of the donors.Why do you think it will be related to Debye temperature?

We have done several derivations that have different results for temperatures below and above the debye temperature. But I'm struggling to relate it to the resistivity of a material. Are you saying it would not represent anything significant on the above graph?

thanks for the reply!
 
Derivations of what?
 
nasu said:
Derivations of what?

Einstein’s approximation for the lattice contribution to the heat capacity
Phonon contribution to the thermal conductivity with the temperature
Electron-Phonon scattering: contribution to thermal electronic transport relaxation
Electron-Phonon scattering: contribution to charge electronic transport relaxation
Debye’s model for the lattice contribution to the heat capacity

All these for high and low debye temperatures
 

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