InterviewSolution
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InterviewSolution
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A two dimensional lattice of closest packed identical circles , indicating a suitable unit cell is represent as follows then the fractional void area is A. `0.93`B. `0.093`C. `0.17`D. `0.017` |
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Answer» Correct Answer - B Let r be the radius of a circle. The unit cell shown in the figure is composed of two equilateral triangles, ABC and BCD, each with side 2r and s=32r, the area of the unit cell is `2(3r,r^(3))^(1//2)=2r^(2)sqrt(3)`. The unit cell contains `(1)/(6)+(1)/(3)+(1)/(6)+(1)/(3)=1` circle of area `pir^(2)`. The fractional void area is `(2r^(2)sqrt(3)-pir^(2))/(2r^(2)sqrt(3))=0.093` |
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