Chemistry - Solid State Question with Solution | TestHub
If in a simple cubic arrangement ' X ' no. of faces meet at a corner of a cube in crystal lattice then what is the value of (X-3)
Answer:
Solution:
Explain Question :
Finding the value of (X − 3) based on faces meeting at a lattice point.
Concept:
Cubic Lattice Geometry and Symmetry.
Solution:
In a 3D crystal lattice, any interior corner is a point where 8 unit cells meet.
To find the total number of faces (X) that meet at this specific point, we look at the number of coordinate planes.
Three mutually perpendicular planes (XY, YZ, and ZX) intersect at every lattice point. Each plane contributes 4 faces (one from each of the 4 cubes in that plane).
Calculation:
Number of mutually perpendicular planes = 3
Number of faces per plane at the corner = 4
Total faces (X) = 3 × 4 = 12
Calculation: (X−3) = 12 − 3 = 9
Final Answer: 9