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

Question

The crystallographic plane of the cubic crystal structure shown in the figure is……………

a. (101)
b. (011)
c. (111)
d. (110)

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Solution

To determine the crystallographic plane of a cubic crystal structure based on the options provided, we need to understand the notation of Miller indices and how to interpret the given options.

Step 1: Identify the Plane

A cubic crystal structure typically uses Miller indices (hkl)(hkl) to describe crystallographic planes. Each index relates to the intercepts that the plane makes with the axes of the crystal.

Step 2: Review the Options

The options given are:

  1. (101)
  2. (011)
  3. (111)
  4. (110)

Step 3: Analyze Each Option

  • (101): This plane intersects the x-axis at 1, the y-axis at infinity (does not intercept), and the z-axis at 1.
  • (011): This plane intersects the x-axis at infinity (does not intercept), the y-axis at 1, and the z-axis at 1.
  • (111): This plane intersects all axes at 1, indicating equal lengths in all directions.
  • (110): This plane intersects the x-axis at 1, the y-axis at 1, and the z-axis at infinity (does not intercept).

Step 4: Verify

To confirm which plane is the correct one, we typically would need to visualize the crystal structure or have more detailed information regarding the specific structure presented in the figure.

Final Answer

Without the figure or additional context, I cannot definitively select the correct crystallographic plane. However, the analysis above provides a foundation to identify the characteristics of each option based on the intercepts described by their Miller indices. Please refer to the visual representation to choose the correct option based on the orientations of the planes.

This problem has been solved

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The Miller indices of the direction shown in the figure are……………a.[102]b.[012]c.[210]d.[120]

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