The empty spaces represented by points A and B in a 3D arrangement of spheres given below are, respectively,
A
Tetrahedral voids and octahedral voids
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B
Octahedral voids and tetrahedral voids
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C
Tetrahedral void and triangular void
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D
Both are tetrahedral voids
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Solution
The correct option is A Tetrahedral voids and octahedral voids In the given figure, the firt layer comprises of black spheres and the second layer comprises of red spheres.
Here, the second layer is placed over the voids of first layer. Thus, it forms both tetrahedral and octahedral voids.
In point A, the void is covered by four spheres which forms a tetrahedron shapes on connecting the spheres. Thus, these voids are called tetrahedral voids.
In point B, the voids are covered by six spheres. These voids are formed if triangular voids of second layer is above the voids of first layer. Connecting the spheres of the voids will give a octahedron shape. Thus, these voids are called octahedral voids.