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Calculate the ratio of separation between successive (1 0 0), (11 0) and (111) lattice planes in a cubic cell. |
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Answer» Solution :We have, `d=a/sqrt(h^(2) + K^(2) + l^(2))` THUS, `d_(100) = a/sqrt(1^(2) + 0^(2) + 0^(2)) =a` `d_(110) = a/sqrt(1^(2) + 1^(2) + 0^(2)) = a/sqrt(2)` and `d_(111) = a/sqrt(1^(2) + 1^(2) + 1^(2)) = a/sqrt(3)` Hence, `d_(100): d_(110): d_(111) =a:a/sqrt(2) : a/sqrt(3) =1: 1/sqrt(2) : 1/sqrt(3)` |
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