How many carbon atoms are present in a unit cell of a diamond?
Question
How many carbon atoms are present in a unit cell of a diamond?
Solution
In a diamond crystal, each carbon atom is covalently bonded to four other carbon atoms in a tetrahedral structure. This structure repeats throughout the crystal lattice.
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Each unit cell of diamond is a cube with carbon atoms at each of the eight corners and a carbon atom in the center of each of the twelve edges.
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Each corner atom is shared by eight unit cells, so each unit cell gets 1/8 of each of the eight corner atoms, which adds up to 1 carbon atom.
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Each edge atom is shared by four unit cells, so each unit cell gets
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