Chemistry - Solid State Question with Solution | TestHub
Which of the following statement(s) is/are true regarding tetrahedral voids in FCC lattice of identical particles ?
Options:(select one or more)
Answer:
Solution:
A. Tetrahedral voids are formed by four spheres. In an FCC lattice, these spheres can include one corner sphere and three face-centered spheres, or four face-centered spheres, or other combinations. So, this statement is true.
B. There are 8 tetrahedral voids per FCC unit cell, and 4 body diagonals. Each body diagonal contains two tetrahedral voids. So, this statement is true.
C. In an FCC lattice, there are 4 effective spheres and 8 tetrahedral voids. Thus, the number of tetrahedral voids is twice the number of spheres. So, this statement is false.
D. The volume of a tetrahedral void is approximately 0.027R³ and an octahedral void is approximately 0.048R³, where R is the radius of the constituent spheres. Thus, the volume of a tetrahedral void is not half the volume of an octahedral void. So, this statement is false.
The final answer is A, B
