Effective mass dependency on the donator atom?

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SUMMARY

The effective mass in a germanium semiconductor, doped with an unknown donor atom, was calculated to be 0.39m_e, while the literature value is 0.33m_e. The effective mass is not dependent on the donor atom, as it is determined by the band structure of the host semiconductor. The donor atom contributes either electrons or holes, but does not influence the effective mass unless the donor concentration exceeds approximately 100 ppm, which can alter the band structure and effective mass.

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AwesomeTrains
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Hello pf
Is the effective mass dependend on the donator atom in a semiconductor?
In our experiment we have calculated the effective mass in a germanium semiconductor, doped with an unknown atom. It is 0.39m_e. From the internet we know that the effective mass is 0.33m_e.
Is our result equivalent to the litterature value or does it depend on the donator?
Kind regards Alex
 
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AwesomeTrains said:
Hello pf
Is the effective mass dependend on the donator atom in a semiconductor?
In our experiment we have calculated the effective mass in a germanium semiconductor, doped with an unknown atom. It is 0.39m_e. From the internet we know that the effective mass is 0.33m_e.
Is our result equivalent to the litterature value or does it depend on the donator?
Kind regards Alex

First of all, it is called a "donor".

Secondly, no, the effective mass is not dependent on the donor. The donor is "donating" either electrons or holes (although a "holes donor" is usually call an acceptor). These electrons and holes sit in the host semiconductor, not in the donor. So the band structure (the E vs k) that is relevant here is the host, not the donor. Since the effective mass depends on the curvature of the band structure, it means that the donor plays no role here.

Zz.
 
AwesomeTrains said:
Is the effective mass dependend on the donator atom in a semiconductor?

If the donor concentration is dilute (roughly ≤ 100 ppm) then it will not affect the band structure of the host and as such it will not affect the effective mass. On the other hand if the donor concentration is high it can impact the band structure of the host and the effective mass.
 

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