
Interpretation:
The surface concentration of
Concept introduction:
The Fick's second law is used to determine the amount of phosphorus and boron at any depth
The expression for the Fick's second law is as follows:
After derivation:
Here,

Answer to Problem 5.56P
Surface concentration for
Surface concentration for
Explanation of Solution
For the n type region:
Here, the constant concentration of diffusing atoms at the surface is
The uniform concentration of diffusing atoms in the material
The concentration of diffusing atoms at location
Time
The diffusion coefficient
Substitute the above values in Fick's equation
Find the value of
Error function values for Fick's second law | |
Argument of the error
| Values of the error function
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Hence, Surface concentration for
For the
Here, the constant concentration of diffusing atoms at the surface is
The uniform concentration of diffusing atoms in the material
The concentration of diffusing atoms at location
Time
The diffusion coefficient
Substitute the above value in equation
Find the value of
Hence, surface concentration for
The value of surface concentration for both
Thus, the surface concentration for
Surface concentration for
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Chapter 5 Solutions
Essentials of Materials Science and Engineering, SI Edition
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