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In a cubic unit cell, what is the contribution to the unit cell of the particle present at the corner? - Chemistry (Theory)

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Question

In a cubic unit cell, what is the contribution to the unit cell of the particle present at the corner?

Short Answer
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Solution

In a cubic unit cell, each corner particle is shared by 8 adjacent unit cells, meaning only 1/8th of each corner particle belongs to a single unit cell. Since a cubic unit cell has 8 corners, the total contribution of corner particles to one unit cell is `8 xx 1/8 = 1` particle.

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