Calculating Resistivity of Doped Si: P and As Substrate Comparison"

In summary, the resistivity of doped Si:P and Si:As substrates can be calculated by taking into account the doping concentration, mobility, and temperature. Both substrates show a decrease in resistivity with increasing doping concentration, but Si:As has a higher mobility and lower activation energy, making it a more favorable choice for high-performance devices. However, Si:P has a higher thermal stability, making it suitable for applications with higher operating temperatures. Ultimately, the choice between Si:P and Si:As substrates depends on the specific needs and requirements of the device being developed.
  • #1
liquidFuzz
97
3
How do I calculate the resistivity of a doped Si if I have to substrate of the same type. Let's say a P and As doped Si. Is the mobility given by, [itex]\mu_n(N_d + N_d)[/itex], or should I do this in an other way? Further, when I calculate the resistivity, is the concentration, [itex]N_{tot} = N_d(P)+N_d(As) [/itex]?

Thanks!
 
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  • #2
The mobility itself is a complicated function of the doping concentration and it depends on the total dopant, not on just Nd or Na. So the way to do it is to get the mobiliity off a curve based on the total doping concentration and then calculate the resistivity using the standard formula. Typically the concentration is completely dominated by one species over another so the answer won't change much as long as you use the highest dopant concentration in the region. This webpage explains the process: http://ecee.colorado.edu/~bart/book/mobility.htm
 

What is the resistivity of doped Si?

The resistivity of doped Si, or silicon, varies depending on the type and concentration of dopants present. Generally, doped Si has a lower resistivity compared to pure Si due to the presence of free charge carriers from the dopants.

How does doping affect the resistivity of Si?

Doping introduces impurities into the crystal lattice of Si, creating free charge carriers that can move through the material. This increases the conductivity of Si and decreases its resistivity.

What are the common types of dopants used in Si?

The most common types of dopants used in Si are boron, phosphorus, arsenic, and antimony. These dopants introduce either positive (p-type) or negative (n-type) charge carriers into the Si crystal lattice.

What is the unit of measurement for resistivity?

The unit of measurement for resistivity is ohm-meter (Ω·m). It is a measure of the material's resistance to electrical current flow.

How does temperature affect the resistivity of doped Si?

As temperature increases, the resistivity of doped Si also increases. This is because higher temperatures cause the dopants to become more mobile and disrupt the crystal lattice, making it more difficult for charge carriers to move through the material.

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