Question

Which one of the following crystallographic planes represent \( (101) \) Miller indices of a cubic unit cell? 

• A. A
• B. B
• C. C
• D. D

Hint:

To identify crystallographic planes, remember that Miller indices \( (hkl) \) describe the plane's intersections with the unit cell axes. A zero in an index means the plane is parallel to that axis.

Answer 1

The Correct Option is B

Step 1: Understanding Miller indices.
Miller indices are a notation system in crystallography that describes the orientation of crystal planes in a lattice. The indices are represented as \( (hkl) \), where \( h \), \( k \), and \( l \) are the intercepts of the plane with the axes of the unit cell. The plane \( (101) \) intersects the x-axis at 1, the y-axis at infinity, and the z-axis at 1.

Step 2: Identifying the correct plane.
The \( (101) \) Miller indices represent a plane that intersects the x and z axes but is parallel to the y-axis. Option (A) correctly shows this plane orientation in a cubic unit cell.

Step 3: Conclusion.
Therefore, the correct answer is (A), as it accurately represents the \( (101) \) Miller indices.