Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 5.7, Problem 8KCP

Write the equation for Fick’s second law of diffusion in solids, and define each of the terms.

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The preexponential and activation energy for the diffusion of chromium in nickel are 1.1 x 10-4 m²/s and 272,000 J/mol, respectively. At what temperature (in "C) will the diffusion coefficient have a value of 1.1 x 10-14 m²/s? i °C
Consider steady 2D diffusion through a funnel. The funnel radius varies linearly with the distance along the funnel axis according to the following formula: rx=r0*(1+x/L). r0 = 1mm, L=1cm.
Aluminum atoms are to be diffused into a silicon wafer using both predeposition and drive-in heat treatments; the background concentration of Al in this silicon material is known to be 3.5 × 101⁹ atoms/m³. The drive-in diffusion treatment is to be carried out at 1050°C for a period of 4.0 h, which gives a junction depth x; of 3.0 µm. Compute the predeposition diffusion time at 950°C if the surface concentration is maintained at a constant level of 2 x 1025 atoms/m³. For the diffusion of Al in Si, values of Qd and Do are 3.41 eV and 1.38 × 10-4 m²/s, respectively.

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Introduction to Diffusion in Solids; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=K_1QmKJvNjc;License: Standard youtube license