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Show that vectors 1 2 , 1 4 , 1 1 , can serve as a set of basic translation vectors for the BCC structure.
Show that vectors
can serve as a set of basic
translation vectors for the BCC structure. Convince yourself this by showing that
points AAinclusive and B can all be expressed in the form of
where are integers;
e Sketch the unit cell as defined by Is this unit cell primitive or nonprimitive?
f The conventional BCC unit cell is defined by the following set of basic translation
vectors:
Show that this set of basic translation vectors cannot be primitive, eg B cannot be
expressed in the form of where are integers;
g Show that the BCC structure can be generated if the set of basic translation vectors
shown in f is associated with a twoatom motif or the basis Give the coordinates of
these two atoms.
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