Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 22AAP
If boron is diffused into a thick slice of silicon with no previous boron in it at a temperature of 1100°C for 5 h, what is the depth below the surface at which the concentration is 1017 atoms/cm3 if the surface concentration is 1018 atoms/cm3? D = 4 × 10−13 cm2/s for boron diffusing in silicon at 1100°C.
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Problem 3. Phosphorus is diffused into a thick slice of silicon with no previous phosphorus in it
at a temperature of 1100°C. If the surface concentration of the phosphorus is 1 × 1018 atoms/cm³
and its concentration at 1 um is 1 × 1015 atoms/cm, how long must be the diffusion time? D =
3.0 x 10-13 cm²/s for P diffusing in Si at 1100°C.
In order to produce a certain semiconductor, a process called doping is performed in which phosphorus is diffused into germanium. If D0 = 2.0 x 10-4 m2/s and the activation energy is 240.6 J/mol, determine the diffusivity of P in Ge at 800°C.
Copper at 500 °C has 1.10×1015 vacancies/cm³. The atomic weight of Cu is 63.55 g/mol and the
density at this temperature is 8.96 g/cm³. Avogadro constant NA ~ 6.022×1023 atoms/mol.
Boltzmann constant (K) - 8.62×10-³ ev/atom • K.
(a) What is the activation energy required to create a vacancy in Cu?
(b) Cu is then cooled to 400 °C. What will be the number of vacancies per cubic centimeter?
Assume that the change in the density in the cooling is negligible.
Chapter 5 Solutions
Foundations of Materials Science and Engineering
Ch. 5.7 - Prob. 1KCPCh. 5.7 - Write an equation for the number of vacancies...Ch. 5.7 - Prob. 3KCPCh. 5.7 - Prob. 4KCPCh. 5.7 - Describe the substitutional and interstitial...Ch. 5.7 - Prob. 6KCPCh. 5.7 - What factors affect the diffusion rate in solid...Ch. 5.7 - Write the equation for Ficks second law of...Ch. 5.7 - Prob. 9KCPCh. 5.7 - Prob. 10KCP
Ch. 5.7 - (a) Calculate the equilibrium concentration of...Ch. 5.7 - Prob. 12AAPCh. 5.7 - Determine the diffusion flux of zinc atoms in a...Ch. 5.7 - The diffusion flux of copper solute atoms in...Ch. 5.7 - Prob. 15AAPCh. 5.7 - Prob. 16AAPCh. 5.7 - Prob. 17AAPCh. 5.7 - A gear made of 1020 steel (0.20 wt% C) is to be...Ch. 5.7 - Prob. 19AAPCh. 5.7 - The surface of a steel gear made of 1020 steel...Ch. 5.7 - Prob. 21AAPCh. 5.7 - If boron is diffused into a thick slice of silicon...Ch. 5.7 - Prob. 23AAPCh. 5.7 - Prob. 24AAPCh. 5.7 - Prob. 25AAPCh. 5.7 - Prob. 26AAPCh. 5.7 - Prob. 27AAPCh. 5.7 - Prob. 28AAPCh. 5.7 - Prob. 29AAPCh. 5.7 - Prob. 30AAPCh. 5.7 - The diffusivity of copper atoms in the aluminum...Ch. 5.7 - Prob. 32AAPCh. 5.7 - Prob. 33SEPCh. 5.7 - Prob. 34SEPCh. 5.7 - Prob. 37SEPCh. 5.7 - Prob. 38SEPCh. 5.7 - The activation energy of nickel atoms in FCC iron...Ch. 5.7 - Prob. 40SEPCh. 5.7 - The self-diffusion of iron atoms in BCC iron is...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Would you expect the diffusion rate of copper...Ch. 5.7 - Prob. 44SEPCh. 5.7 - Prob. 45SEPCh. 5.7 - Prob. 46SEPCh. 5.7 - Prob. 47SEPCh. 5.7 - Prob. 48SEPCh. 5.7 - Prob. 49SEPCh. 5.7 - Prob. 50SEP
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