1. A tetrahedral void in a crystal lattice is surrounded by how many particles?
A.
Three
B.
Four
C.
Six
D.
Eight
Correct Answer:
Four
Explanation:
A tetrahedral void is formed when four particles surround an empty space, giving it tetrahedral geometry.
2. What is the coordination number of a particle placed in a tetrahedral void?
A.
2
B.
4
C.
6
D.
8
Correct Answer:
4
Explanation:
A particle occupying a tetrahedral void touches or is surrounded by four particles, so its coordination number is 4.
3. If a close-packed arrangement contains N particles, how many tetrahedral voids are present?
A.
N/2
B.
N
C.
2N
D.
3N
Correct Answer:
2N
Explanation:
In a close-packed structure, the number of tetrahedral voids is twice the number of constituent particles.
4. The shape associated with a tetrahedral void is a:
A.
Square
B.
Triangle
C.
Tetrahedron
D.
Cube
Correct Answer:
Tetrahedron
Explanation:
The four surrounding particles are positioned at the corners of a tetrahedron, so the void is called tetrahedral.
5. A tetrahedral void is formed when a particle in one layer rests over the gap between how many particles in an adjacent layer?
A.
Two
B.
Three
C.
Four
D.
Six
Correct Answer:
Three
Explanation:
A tetrahedral void occurs when one particle lies above a triangular gap formed by three particles in the neighboring layer.
6. Which type of void is smaller in size than an octahedral void in a close-packed structure?
A.
Tetrahedral void
B.
Cubic void
C.
Linear void
D.
Hexagonal void
Correct Answer:
Tetrahedral void
Explanation:
A tetrahedral void is surrounded by four particles and has less available space than an octahedral void.
7. What is the approximate radius ratio range suitable for a cation occupying a tetrahedral void?
A.
0.100 to 0.200
B.
0.225 to 0.414
C.
0.414 to 0.732
D.
0.732 to 1.000
Correct Answer:
0.225 to 0.414
Explanation:
The radius ratio for stable occupation of a tetrahedral void is approximately between 0.225 and 0.414.
8. If there are 5 particles in a close-packed arrangement, how many tetrahedral voids will it contain?
A.
5
B.
8
C.
10
D.
15
Correct Answer:
10
Explanation:
The number of tetrahedral voids is 2N. For N = 5 particles, the number of voids is 2 × 5 = 10.
9. A cation placed in a tetrahedral void has how many nearest neighboring particles?
A.
2
B.
4
C.
6
D.
12
Correct Answer:
4
Explanation:
The four particles surrounding a tetrahedral void become the nearest neighbors of the cation occupying that void.
10. Which statement about tetrahedral voids in a close-packed structure is correct?
A.
They are equal in number to the particles.
B.
They are half the number of the particles.
C.
They are twice the number of the particles.
D.
They are three times the number of the particles.
Correct Answer:
They are twice the number of the particles.
Explanation:
For every N particles in a close-packed arrangement, there are 2N tetrahedral voids.
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