Model semiconductor -> calculate charge density, electric field, electric potential

In summary, in order to fully solve this problem, the units for the doping concentration, temperature, material properties, and boundary conditions need to be clarified and specified.
  • #1
skeeowza
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Homework Statement



Consider a model semiconductor with a bandgap of 1.0 eV which is doped with 10^17 /cm^3 acceptors for x<0 and 10^17 /cm^3 donors for x>0.

E_c - mu = 0.1 eV on the far left and on the far right (far from x=0)

Homework Equations





The Attempt at a Solution



there seems to be something wrong with the problem statement above. what needs to be changed? what additional information is needed in order to calculate the charge density, electric field, and electric potential as a function of X?
 
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  • #2


it is important to carefully analyze the problem statement and identify any potential issues or missing information. In this case, there are a few changes and additional information that are needed in order to fully solve the problem.

Firstly, the units for the doping concentration should be clarified. Is it 10^17 acceptors/donors per cubic centimeter or per cubic meter? This will affect the charge density calculation.

Secondly, the temperature of the semiconductor should be specified. This will affect the intrinsic carrier concentration and therefore the overall charge density.

Thirdly, the material properties of the semiconductor should be provided, such as the permittivity and the mobility of the charge carriers. These properties will be needed to calculate the electric field and potential.

Lastly, the boundary conditions should be clearly defined. Is the semiconductor in thermal equilibrium or is there an external electric field present? This will also affect the charge density and potential calculations.

Once these changes and additional information are provided, the charge density, electric field, and electric potential can be calculated using appropriate equations and methods.
 

1. What is a model semiconductor?

A model semiconductor is a simplified representation of a real semiconductor material used for theoretical calculations and simulations. It typically assumes ideal conditions and simplified material properties.

2. How is charge density calculated in a model semiconductor?

In a model semiconductor, charge density is typically calculated by using the concept of carrier concentration, which takes into account the number of electrons and holes in the material. It can also be calculated by integrating the product of the density of states and the Fermi-Dirac distribution function.

3. What factors affect the electric field in a model semiconductor?

The electric field in a model semiconductor is affected by factors such as the doping concentration, temperature, and applied external voltage. It is also influenced by the type of material, its bandgap, and the presence of impurities or defects.

4. How is the electric potential calculated in a model semiconductor?

The electric potential in a model semiconductor is typically calculated using the Poisson equation, which relates the electric field to the charge density. It can also be calculated by integrating the electric field with respect to distance.

5. Can a model semiconductor accurately predict the behavior of a real semiconductor?

No, a model semiconductor is a simplified representation and cannot fully capture all the complexities and variations of a real semiconductor material. However, it can provide valuable insights and approximate predictions of certain behaviors and properties.

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