Effective mass dependency on the donator atom?

In summary: This can be seen in highly doped semiconductors such as degenerate n-type semiconductors where the effective mass increases with increasing doping concentration. In summary, the effective mass in a semiconductor is not dependent on the donor atom. In an experiment with a germanium semiconductor doped with an unknown atom, the calculated effective mass was 0.39m_e, while the literature value is known to be 0.33m_e. This difference is not due to the donor, but rather the band structure of the host semiconductor. Donor concentration only affects the effective mass if it is at a high level.
  • #1
AwesomeTrains
116
3
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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  • #2
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.
 
  • #3
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.
 

Related to Effective mass dependency on the donator atom?

What is effective mass and how does it depend on the donator atom?

Effective mass refers to the mass of an electron or hole in a semiconductor material, which is different from its actual mass due to the influence of the crystal lattice. The effective mass of an electron or hole is affected by the type of atom present in the crystal lattice, known as the donator atom. The effective mass is typically lower when the donator atom has a smaller atomic radius compared to the host atom.

Why is effective mass important in semiconductor materials?

Effective mass is an important property in semiconductor materials because it affects the mobility and behavior of charge carriers (electrons and holes). The lower the effective mass, the higher the mobility of the charge carrier, which is desirable for faster and more efficient electronic devices.

How can we determine the effective mass dependency on the donator atom?

The effective mass dependency on the donator atom can be determined through experimental techniques such as Hall effect measurements, cyclotron resonance, and quantum oscillations. These techniques involve applying a magnetic field to the semiconductor material and measuring the response of the charge carriers, which can provide information about their effective mass.

Are there any other factors besides the donator atom that can influence effective mass?

Yes, besides the donator atom, other factors such as strain, temperature, and impurities can also affect the effective mass of charge carriers in a semiconductor material. Strain can alter the crystal lattice, leading to changes in effective mass, while temperature and impurities can cause scattering of charge carriers, affecting their effective mass.

How does effective mass impact the performance of electronic devices?

The effective mass of charge carriers plays a crucial role in the performance of electronic devices. A lower effective mass leads to higher mobility of charge carriers, resulting in faster and more efficient devices. On the other hand, a higher effective mass can hinder device performance by slowing down charge carrier movement and causing more energy loss. Therefore, understanding and controlling effective mass is essential in the design and optimization of electronic devices.

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