Draw the neat diagram to indicate the plane (111), (100) and (110) in Cubic Crystal.

ANSWER : Crystal Planes in Cubic Crystal: In a cubic crystal lattice, planes are denoted by Miller indices, which represent the intercepts of the plane on the crystallographic axes. Let's explore the (111), (100), and (110) planes:

1. (111) Plane: The (111) plane intersects the crystallographic axes at points where the reciprocals of intercepts are in the ratio 1:1:1. In a cubic system, this results in a plane passing through the body diagonal.

- Intercepts: \(a:b:c = 1:1:1\)

- Description: The (111) plane is perpendicular to the body diagonal of the cubic crystal.

2. (100) Plane: The (100) plane intersects the crystallographic axes at points where the reciprocals of intercepts are in the ratio 1:0:0. This plane lies parallel to one of the cube faces.

- Intercepts: \(a:b:c = 1:0:0\)

- Description: The (100) plane is perpendicular to the edges of the cubic crystal.

3. (110) Plane: The (110) plane intersects the crystallographic axes at points where the reciprocals of intercepts are in the ratio 1:1:0. This plane passes through two adjacent edges of the cube.

- Intercepts: \(a:b:c = 1:1:0\)

- Description: The (110) plane is inclined at 45 degrees to the edges and passes through the midpoints of two adjacent edges of the cubic crystal.

Understanding these planes is essential for crystallography as it helps in visualizing and predicting the arrangement of atoms within the crystal lattice.

Diagrams:

The (100), (110) and (111) planes in a Cubic Crystal. Source : ResearchGate

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