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Question

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
12
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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.

998984_114744_ans_0f00b4c9fc55466fa07f69efe1c37368.PNG

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