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

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SUMMARY

The discussion centers on the effective mass of electrons in common metals, emphasizing the variability of measurements based on different methods. Key references include Ashcroft and Mermin's "Solid State Physics" (1st Ed.) which provides a table of specific heat effective mass values ranging from 0.38 for antimony (Sb) to 12 for niobium (Nb). The conversation highlights that the choice of effective mass depends on the experimental context, such as electronic transport or heat transport measurements. Additionally, the discussion touches on contact potential difference (CPD) measurements as a standard technique for determining the contact potential between metals.

PREREQUISITES
  • Understanding of solid state physics concepts, particularly effective mass
  • Familiarity with band structure calculations and cyclotron resonance
  • Knowledge of specific heat measurements in metals
  • Basic principles of contact potential difference (CPD) measurements
NEXT STEPS
  • Research the specific heat effective mass values in Ashcroft and Mermin's "Solid State Physics"
  • Learn about band structure calculations and their relation to effective mass
  • Investigate cyclotron resonance techniques for measuring effective mass
  • Explore CPD measurement techniques, particularly using the Kelvin probe method
USEFUL FOR

Physicists, materials scientists, and researchers involved in solid state physics, particularly those studying electronic properties of metals and conducting experiments related to effective mass and contact potential.

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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