SUMMARY
The Miller indices for a plane with intercepts at (∞, 3/2, 1) are determined by inverting the coordinates and multiplying by the least common multiple (LCM) of the denominators. In this case, the LCM is 2, leading to the final Miller indices of (0, 2, 3). It is unnecessary to shift the intercepts inside the cube; the original coordinates suffice for the calculation.
PREREQUISITES
- Understanding of Miller indices in crystallography
- Familiarity with coordinate geometry
- Knowledge of least common multiple (LCM) calculations
- Basic concepts of three-dimensional space and intercepts
NEXT STEPS
- Study the derivation of Miller indices in different geometric contexts
- Learn about the significance of intercepts in crystallography
- Explore advanced topics in crystallography, such as Bravais lattices
- Investigate the application of Miller indices in material science
USEFUL FOR
Students and professionals in materials science, crystallography, and solid-state physics who require a clear understanding of Miller indices and their applications in analyzing crystal structures.