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Question

Three lines are drawn from a single FCC unit cell to meet the other corner such that they are found to pass through exactly 1 Octahedral wad only, no voids of any type and 2 tetrahedral voids with exactly 1 Octahedral void only. Identify the line in the same order.

A
Edge, Face diagonal, Body diagonal
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B
Face diagonal, Edge, Body diagonal
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C
Body diagonal, Face diagonal, Edge
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D
Edge, Body diagonal, Fax diagonal
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Solution

The correct option is B Edge, Face diagonal, Body diagonal

In face-centered cubic (FCC) atoms are present at corners and face center. Octahedral voids are located on edge centers and body center and tetrahedral voids are located on body diagonals. There are 2 tetrahedral voids on body diagonal at (1/4)th of the distance from each corner.

So, if a line joining opposite corners passes through 1 octahedral void only, it must be the edge.

If a line passes no voids of any type on joining two opposite corners it must be face diagonal.

If a line joining opposite corner passes through 2 tetrahedral and exactly 1 octahedral void only, then it must be body diagonal.


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