1. Tardigrade
  2. Question
  3. Chemistry
  4. Consider a cube of body-centered cubic unit cell of edge length a. Now atom at the body centre can be viewed to be lying on the corner of another cube 2 . Find the volume common to cube 1 and cube 2 .

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Q. Consider a cube of body-centered cubic unit cell of edge length a. Now atom at the body centre can be viewed to be lying on the corner of another cube $2$ . Find the volume common to cube $1$ and cube $2$ .

NTA AbhyasNTA Abhyas 2020The Solid State

Solution:

Volume of cube $=a^{3}$ , body centred atom can share to $8$ such cubes. Hence volume common to cube 1 and 2 is one-eighth of its volume.