The crystallographic plane of the cubic crystal structure shown in the figure is……………a.(110)b.(111)c.(101)d.(011)

To identify the crystallographic plane of the cubic crystal structure, we will analyze the options based on Miller indices:

1. Understanding Miller Indices: Miller indices (hkl) are a notation system in crystallography for planes in crystal (Bravais) lattices.

2. Evaluating Each Option:

   • a. (110): This plane intercepts the x-axis at 1, the y-axis at 1, and is parallel to the z-axis.
   • b. (111): This plane intercepts the x, y, and z axes at 1.
   • c. (101): This plane intercepts the x-axis at 1, is parallel to the y-axis, and intercepts the z-axis at 1.
   • d. (011): This plane is parallel to the x-axis, intercepts the y-axis at 1, and intercepts the z-axis at 1.

3. Visualizing the Structure: Without the figure, we can't verify the exact layout, but typically:

   • (110) represents a plane cut diagonally across two axes,
   • (111) represents a diagonal plane that includes all three axes,
   • (101) is another unique diagonal,
   • (011) is also unique but mainly involves the y and z planes.

Final Answer

The correct answer depends on the specific appearance of the cubic crystal structure given in the figure. If you can describe the intercepts or provide the figure details, I can narrow it down better. Otherwise, based on common representations:

• The most typical planes in cubic structures are (100), (110), and (111), so any of those could be correct depending on the figure shown. Please verify with the provided image for accurate determination.