Find the number densities of n-carriers

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In summary, the concept of number densities in n-carriers refers to the concentration of negatively charged particles in a material. It is calculated by dividing the total number of n-carriers by the volume of the material. Determining the number density is important for understanding the electrical properties of a material. Factors such as temperature, impurities, and material type can affect the number density. It can be measured through experimental techniques such as Hall effect, resistivity, and capacitance-voltage measurements, each with its own advantages and limitations.
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rahulbhowmick
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Homework Statement



In silicon, Eg = 1.12 eV and the effective mass of the n-carriers is m* = 0.31me, where me is the electron mass. Find the number densities of n-carriers at 100 K and at 250 K.

Homework Equations



square root of (NcNv)*e^(-Eg/kt)



The Attempt at a Solution



The attempt is simply this equation and it isn't working. Help :)
 
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  • #2
Does it say if it is an intrinsic semiconductor or is it assumed? Also, can we see some work.
 

1. What is the concept of number densities in n-carriers?

The number density of n-carriers refers to the concentration of electrons or other negatively charged particles in a specific material. It is a measure of how many of these particles are present in a given volume of the material.

2. How is the number density of n-carriers calculated?

The number density of n-carriers is calculated by dividing the total number of n-carriers in a material by the volume of the material. This can be represented by the equation: n = N/V, where n is the number density, N is the number of n-carriers, and V is the volume.

3. Why is it important to determine the number density of n-carriers?

The number density of n-carriers is an important factor in understanding the electrical properties of a material. It can help determine the conductivity, resistivity, and other characteristics of the material, which are crucial for various applications in electronics and semiconductors.

4. What factors affect the number density of n-carriers?

The number density of n-carriers can be influenced by a variety of factors, including temperature, impurities, and the type of material. For example, increasing the temperature can increase the number density of n-carriers in a material, while the presence of impurities can decrease it.

5. How is the number density of n-carriers measured in a material?

The number density of n-carriers can be measured through various experimental techniques, such as Hall effect measurements, resistivity measurements, and capacitance-voltage measurements. Each method has its own advantages and limitations, and the choice of technique depends on the specific properties of the material being studied.

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