Question
The Miller indices of the shown lattice plane in a simple cubic Bravais lattice are :
This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
(110)
To determine the Miller indices of the lattice plane shown, we need to follow these steps:
- Identify the Intercepts:
- The plane intercepts the x-axis at \( a_1 \) (1, 0, 0).
- The plane intercepts the y-axis at \( a_2 \) (0, 1, 0).
- The plane does not intercept the z-axis; it is parallel to it (i.e., intercept at infinity).
- Take Reciprocals:
- The reciprocal of the x-intercept is 1/1 = 1.
- The reciprocal of the y-intercept is 1/1 = 1.
- The reciprocal of the z-intercept is 1/∞ = 0.
- Clear Fractions:
There are no fractions to clear in this case.
- Write Miller Indices:
The Miller indices are written as (110).
Conclusion: The correct Miller indices for the shown lattice plane are \((110)\). This matches option (110).
Tip: Miller indices (hkl) are determined by finding the intercepts of the plane with the axes, taking the reciprocals, and clearing fractions.
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