Diamond has face-centred cubic lattice. There are two atoms at (0,0,0) and (14,14,14) coordinates. The ratio of the carbon-carbon bond distance to the edge of the unit cell is:
A
√316
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B
√14
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C
14
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D
1√2
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Solution
The correct option is A√316 Assume that edge length is a
Given body diagonal length is √3a
dcc= Bond length between two carbon atoms.
Ratio of Carbon-Carbon bond length to the edgr of unit cell =dccEdgelength
dcc=√116+116+116=√316=√3161=√316
In diamond a unit-cell consists of 8− atoms in which 4− atom form face centred cubic lattice and another 4− carbon atoms are entirely inside the crystal in 4− alternate tetrahedral voids in staggard form.