SUMMARY
The discussion focuses on identifying the lattice plane in a face-centered cubic (fcc) crystal that exhibits no diffraction peak during X-ray diffraction (XRD). The planes considered include (2,1,2), (1,1,1), (2,0,0), and (3,1,1). It is established that the (2,1,2) plane does not produce a diffraction peak due to the systematic absence of reflections in fcc structures. The application of Bragg's law, nλ=2d sinθ, is essential for calculating the interplanar spacing and determining the hkl values from the XRD powder pattern.
PREREQUISITES
- Understanding of face-centered cubic (fcc) crystal structures
- Familiarity with X-ray diffraction (XRD) techniques
- Knowledge of Bragg's law for diffraction analysis
- Ability to calculate interplanar spacing (d) and Miller indices (hkl)
NEXT STEPS
- Study the systematic absences in fcc crystal structures
- Learn how to calculate Miller indices from XRD data
- Explore the application of Bragg's law in X-ray diffraction
- Investigate the interpretation of XRD powder patterns for crystal analysis
USEFUL FOR
Materials scientists, crystallographers, and researchers involved in X-ray diffraction analysis of crystalline materials will benefit from this discussion.