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http://wings.buffalo.edu/eng/mae/courses/mae381/chapter4/4_21.pdf I am wondering

ID: 1861551 • Letter: H

Question

http://wings.buffalo.edu/eng/mae/courses/mae381/chapter4/4_21.pdf

I am wondering why (if the picture shows, or you click on the link) the line:

"But, 2R = |b|111"

Holds true?

The energy necessary to generate a dislocation is proportional to the square of the length of the Burgers vector, |b|2. This means that the most stable (lowest energy) dislocations have the minimum length, |b|. For the bcc metal structure, calculate (relative to Eb [111]) the dislocation energies for (a) Eb [110] and (b) Eb [100]. For a bcc metal,

Explanation / Answer

That is because of the BCC structure. It's the 111 plane for which this relation holds not for others.