in the following unit cell, which vector represents the 121 direction?\na\nb\nc\nd

in the following unit cell, which vector represents the 121 direction?\na\nb\nc\nd

in the following unit cell, which vector represents the 121 direction?\na\nb\nc\nd

Answer

Explanation:

Step1: Recall Miller - indices concept

Miller - indices [uvw] represent a direction in a unit - cell. The components u, v, and w are the number of unit - cell edge lengths traversed in the x, y, and z directions respectively.

Step2: Analyze each vector

For vector A: It has a non - standard set of displacements in the x, y, z directions that do not match [121]. For vector B: Consider the displacements from the origin to the end - point of the vector. If we assume the unit - cell edge lengths as the reference, the displacements in x, y, z directions are consistent with [121]. For vector C: Its displacements in the x, y, z directions do not match [121]. For vector D: Its displacements in the x, y, z directions do not match [121].

Answer:

B. Option B