Is there a resource for the effective mass of electrons in common metals?

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Discussion Overview

The discussion centers on the effective mass of electrons in common metals, exploring the variations in values derived from different measurement methods and their implications for experimental work. Participants seek references and insights into the topic, including specific resources and techniques for measuring contact potential between metals.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants request references for tables on the effective mass of electrons in common metals.
  • One participant notes that the effective mass can vary based on the measurement method, including band structure dispersion, cyclotron resonance, and specific heat measurements.
  • A reference to Ashcroft and Mermin's Solid State Physics text is provided, indicating specific heat effective mass values for various metals.
  • Another participant expresses interest in understanding the variation in effective mass values from different measurement methods and its impact on experimental parameters.
  • It is suggested that the choice of effective mass depends on the nature of the experiment, with different methods applicable for electronic transport versus heat transport experiments.
  • A participant mentions a standard technique for measuring contact potential difference (CPD) and provides a link to a resource on Kelvin probe measurements.
  • Another contribution highlights that the electronic effective mass is anisotropic and references a calculation by Madarasz in Applied Physics regarding effective mass and density of states.

Areas of Agreement / Disagreement

Participants express varying views on the measurement methods for effective mass and the implications for experiments. There is no consensus on which measurement method yields the best value, and the discussion remains open-ended regarding the determination of contact potential between metals.

Contextual Notes

Participants note that the effective mass can differ based on the measurement approach and that the choice of method may significantly influence experimental outcomes. Specific assumptions about the context of measurements are not fully explored.

Who May Find This Useful

Researchers and students in solid state physics, materials science, and experimental physics may find this discussion relevant, particularly those interested in electron behavior in metals and measurement techniques.

Reality_Patrol
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Does anyone have a link or reference to a table on the effective mass of electrons in the common metals?

thanks
 
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Reality_Patrol said:
Does anyone have a link or reference to a table on the effective mass of electrons in the common metals?

thanks

Obviously, there are smart people here who know better than to tackle this one.

The term "effective mass", even within solid state physics, can in fact have a number of values depending on how it is measured. The "electronic" effective mass can often be derived from band structure dispersion, or measured from the cyclotron resonance, or even obtained from specific heat measurements. All of these need not produce the identical values.

For a table of specific heat effective mass for metals, refer to the table given in Ashcroft and Mermin's Solid State Physics text (1st Ed.) pg. 47. The ratio m*/m (where m is the bare mass) ranges from 0.38 for Sb to 12 for Nb.

Zz.
 
Zz,

Thanks for the info. I've got the reference on order. I would like to have some idea of the variation in values given by the different methods of measurement as well. I'm not sure which would be the best value to use given the experiments I'm contemplating. The value will determine many parameters so if the variation is large, the experiment will have to be redone many times.

On a related note, any suggestions on how to go about determining what the contact potential between 2 metals should be?

Thanks again, RP
 
Reality_Patrol said:
Zz,

Thanks for the info. I've got the reference on order. I would like to have some idea of the variation in values given by the different methods of measurement as well. I'm not sure which would be the best value to use given the experiments I'm contemplating. The value will determine many parameters so if the variation is large, the experiment will have to be redone many times.

It depends on what the experiment is. If you are measuring something related to electronic transport, then the effective mass would be something you use from the band structure calculation or the cyclotron measurement. If you are doing a heat transport experiment, then the specific heat effective mass is the one to use.

On a related note, any suggestions on how to go about determining what the contact potential between 2 metals should be?

Thanks again, RP

I don't know much about that. Maybe someone else has that info. If not, I'll do some checking when I go back to work on Monday.

Zz.
 
There's a standard technique for this - it's called a CPD (contact potential difference) measurement.

I just googled CPD "Kelvin probe" and found this:

http://www.mcallister.com/kpfaqpg.html
 
the electronic effective mass is anisotropic, try looking for Madarasz in Applied Physics back in 83 or 84, he did a calculation in silicon to show the differences in effective mass, density of states effective mass etc... Depending on the measurement or calculation, you'll need to do different things to get everything you need to be able to accurately extract the correct value from your experiments.
 

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