In an arrangement of type ABABA ... identical atoms of I layer A and III layer A are joined by a line passing through their centers. Suggest the correct statement.

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No voids is found on the line

Only tetrahedral voids are found on the line

Only octahedral voids are found on the line

Equal number of tetrahedral and octahedral voids are found on the line

answer is B.

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Detailed Solution

In a 2-D hexagonal close packing, the second row of spheres is positioned in the depressions or interstices of the first row. Only 50% of a layer's vacancy can be filled by a layer's adjacent sphere (II layer). The third layer's sphere then fills the II layer voids beneath the first layer's sphere. This results in closed hexagonal packing.
This follows the ABABAB pattern. Hexagonal lattice is produced by the ABABAB configuration.
In such an arrangement, spheres of the third layer A, which is similar to the first layer A, occupy the tetrahedral vacuum of the B layer. As a result, the tetrahedral vacuum will be where the line connecting AA layers passes through the centre of spheres.

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