Can you explain the answer of this question below:In hexagonal close p...
(B)
HCP = AB AB AB . pattem repeat For calculating voids between two layers A and B. Total tetrahedral voids = 12 (represented by dots) out of which 8 are completely inside but rest are shared by other unit cells. Total octahedral voids = 6 (represented by cross). All are completely inside.
Can you explain the answer of this question below:In hexagonal close p...
Hexagonal Close Packing (HCP)
Hexagonal close packing is a type of crystal structure found in some metals and non-metals, where the spheres (atoms or ions) are arranged in a closely packed hexagonal lattice. In HCP, each sphere has 12 closest neighbors, forming a regular pattern. Understanding the arrangement of voids within the unit cell is crucial in studying the crystal structure.
Explanation of the Answer
Statement A: In one unit cell, there are 12 octahedral voids, and all are completely inside the unit cell.
This statement is incorrect because the number of octahedral voids in a unit cell of HCP is not 12. Therefore, option A is not the correct answer.
Statement B: In one unit cell, there are six octahedral voids, and all are completely inside the unit cell.
This statement is correct. The HCP crystal structure consists of a close-packed array of spheres, where each sphere is in contact with six neighboring spheres. Between these spheres, there are voids known as octahedral voids. In HCP, there are six octahedral voids per unit cell, and all of them are completely inside the unit cell. Therefore, option B is the correct answer.
Statement C: In one unit cell, there are six octahedral voids, of which three are completely inside the unit cell, and the other three are partially inside the unit cell.
This statement is incorrect because all six octahedral voids in HCP are completely inside the unit cell, not partially. Thus, option C is not the correct answer.
Statement D: In one unit cell, there are 12 tetrahedral voids, all of which are completely inside the unit cell.
This statement is incorrect because HCP does not have tetrahedral voids. Tetrahedral voids are found in a different crystal structure called face-centered cubic (FCC). Therefore, option D is not the correct answer.
Conclusion
Based on the given statements, the correct answer is option B. In one unit cell of hexagonal close packing, there are six octahedral voids, and all of them are completely inside the unit cell.