Burgers vector - Wikipedia
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Burgers vector - Wikipedia
The vector's magnitude and direction is best understood when the
dislocation-bearing crystal structure is first ...
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On Friday, 10 June 2022, 11:10:36 BST, Hongyi Zhao <hongyi.z...@gmail.com>
wrote:
For crystallographic space groups, say, the diamond structure, we have the
following information, as described here [1].
The primitive cell lattice vectors can be defined as follows:
a1 = (0, 1/2, 1/2), a2 = (1/2, 0, 1/2), a3 = (1/2, 1/2, 0)
The translation vectors, can be selected as follows:
t0 = (0, 0, 0), t1 = (0, 1/2, 1/2), t2 = (1/2, 0, 1/2), t3 = (1/2, 1/2, 0)
The above-mentioned translation vectors can be used to extend the primitive
cell to the larger conventional cell, which has the following lattice vectors:
b1 = (1, 0, 0), b2 = (0, 1, 0), b3 = (0, 0, 1)
It is well known that the above specific set of vectors can be studied by the
group theory method, say by lattice [2], or by the groups of vector space (or
module) over integers
Having said that, I still feel that using such group tools to study the problem
described here is quite difficult. Any hints/tips will be highly appreciated.
[1] https://en.wikipedia.org/wiki/Unit_cell[2]
https://en.wikipedia.org/wiki/Lattice_(group)
Regards,HZ
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