Chapter 5: Problem 7
(a) Briefly explain the concept of a driving force. (b) What is the driving force for steady-state diffusion?
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Chapter 5: Problem 7
(a) Briefly explain the concept of a driving force. (b) What is the driving force for steady-state diffusion?
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For the predeposition heat treatment of a semiconducting device, gallium atoms are to be diffused into silicon at a temperature of \(1150^{\circ} \mathrm{C}\) for \(2.5 \mathrm{~h}\). If the required concentration of \(\mathrm{Ga}\) at a position \(2 \mu \mathrm{m}\) below the surface is \(8 \times 10^{23}\) atoms \(/ \mathrm{m}^{3}\), compute the required surface concentration of \(\mathrm{Ga}\). Assume the following: (i) The surface concentration remains constant (ii) The background concentration is \(2 \times 10^{19} \mathrm{Ga}\) atoms \(/ \mathrm{m}^{3}\) (iii) Preexponential and activation energy values are \(3.74 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s}\) and \(3.39 \mathrm{eV} /\) atom, respectively.
Briefly explain the difference between selfdiffusion and interdiffusion.
An FCC iron-carbon alloy initially containing \(0.55 \mathrm{wt} \% \mathrm{C}\) is exposed to an oxygen-rich and virtually carbon-free atmosphere at \(1325 \mathrm{~K}\) \(\left(1052^{\circ} \mathrm{C}\right)\). Under these circumstances, the carbon diffuses from the alloy and reacts at the surface with the oxygen in the atmosphere-that is, the carbon concentration at the surface position is maintained essentially at \(0 \mathrm{wt} \%\) C. (This process of carbon depletion is termed decarburization.)At what position will the carbon concentration be \(0.25 \mathrm{wt} \%\) after a \(10-\mathrm{h}\) treatment? The value of \(D\) at \(1325 \mathrm{~K}\) is \(3.3 \times 10^{-11} \mathrm{~m}^{2} / \mathrm{s}\).
For a steel alloy, it has been determined that a carburizing heat treatment of \(15 \mathrm{~h}\) duration will raise the carbon concentration to \(0.35 \mathrm{wt} \%\) at a point \(2.0 \mathrm{~mm}\) from the surface. Estimate the time necessary to achieve the same concentration at a 6.0-mm position for an identical steel and at the same carburizing temperature.
(a) Compare interstitial and vacancy atomic mechanisms for diffusion. (b) Cite two reasons why interstitial diffusion is normally more rapid than vacancy diffusion.
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