Semiconductors(solid state physics)

In summary, semiconductors are materials with properties between conductors and insulators that can conduct electricity under certain conditions, but act as insulators under others. They are commonly used in electronic devices such as transistors, diodes, and integrated circuits, as well as sensors like cameras and thermometers. Semiconductors are made from purified silicon and can be doped to alter their electrical properties. Intrinsic semiconductors are pure materials with balanced electrons and holes, while extrinsic semiconductors have been doped with impurities. Semiconductors play a crucial role in modern technology, powering various devices and enabling advancements in fields like quantum computing and artificial intelligence.
  • #1
javitia
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Homework Statement



The Fermi level lies 0.516 ev below the conduction band in a sample of silicon at
300 degrees K.

Homework Equations



majority carrier concentration for n-type
n = 1/2[(Nd -Na) + sqrt((Nd-Na)^2 + 4(ni^2)]

minority carrier concentration for n-type
p= ni^2/Nd-Na

where Nd = density of donor atoms
Na = density of acceptor atoms


The Attempt at a Solution



My question is how do I calculate or find out what Na and Nd are?
 
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  • #2
I know the Fermi level is 0.516 ev below the conduction band and that the sample is made out of silicon and the temperature is 300 degrees K.
 
  • #3




To calculate the density of donor atoms (Nd) and acceptor atoms (Na), you will need to know the impurity concentration and the doping type of the semiconductor material. The impurity concentration can be determined through various methods such as Secondary Ion Mass Spectrometry (SIMS) or Energy Dispersive X-ray Spectroscopy (EDS). The doping type can be determined by measuring the majority carrier type (electrons or holes) using techniques like Hall effect measurements. Once you have this information, you can use the relevant equations for n-type or p-type semiconductors to calculate the majority and minority carrier concentrations. From there, you can solve for Nd and Na using the equations provided in the problem.
 

1. What are semiconductors and how do they work?

Semiconductors are materials that have properties between conductors and insulators. They have the ability to conduct electricity under certain conditions, but also have the ability to act as an insulator under other conditions. This is due to the presence of a band gap in their energy levels, which allows for the controlled flow of electrons.

2. What are some common applications of semiconductors?

Semiconductors are used in a wide range of electronic devices, including transistors, diodes, solar cells, and integrated circuits. They are also used in various sensors, such as in cameras, thermometers, and pressure sensors.

3. How are semiconductors made?

Semiconductors are typically made from silicon, which is purified and then formed into a crystal structure. The process of creating semiconductors involves various techniques such as doping, which introduces impurities to alter the conductivity of the material.

4. What is the difference between intrinsic and extrinsic semiconductors?

Intrinsic semiconductors are pure semiconducting materials, such as silicon or germanium, which have a balanced number of electrons and holes (electron deficiencies) in their energy bands. Extrinsic semiconductors have been doped with impurities to alter their electrical properties and increase their conductivity.

5. What is the role of semiconductors in modern technology?

Semiconductors play a critical role in modern technology, powering everything from computers and smartphones to renewable energy sources such as solar panels. They have also enabled the development of advanced technologies such as quantum computing and artificial intelligence.

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