InterviewSolution
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InterviewSolution
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If the atoms of an element have the radius r, then in a primitive cubic unit cell, calculate (a) the length of the face diagonal. (b) the lenth of the body diagonal. |
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Answer» In the Fig, AC is the face diagonal and CD is the body diagonal. ` Delta ABC` , right angled at B. ` AC = sqrt(AB^(2) +BC^(2)) = sqrt((2r)^(2) + (2r)^(2)) = sqrt(8r) = 2sqrt2 r,` In ` Delta ACD ,` right angled at A, ` CD = sqrt(AC^(2) + AD^(2)) = sqrt((2sqrt3 r)^(2) + (2r)^(2)) = sqrt(12r^(2)) = 2 sqrt3 r` ` (##PR_CHE_V01_XII_C01_E17_001_S01.png" width="80%"> |
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