Octa,Tetra , Where are you?
In an FCC crystal lattice, Find the distance between a tetrahedral void and an octahedral void(one lying on the edge) (in ) , Given the lattice parameter to be .
Details and assumptions
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means Face Centered Cubic Lattice.
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is Ångström
The answer is 0.433012.
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1 solution
Trivial Note that the octahedral void easiest to see in the lattice is the body-centered And the tetrahedral void is determined by the 3 adjacent face centers and the corresponding end-vertex The distance between them can easily be found from trigonometry Yielding A√3/4 as the answer