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Calculate the distance between 200, 110 ...

Calculate the distance between 200, 110 and 222 planes of a body centred cube. The length of the side of the unit cell is 5.4 Å.

Text Solution

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The distance two parallel planes in a cubic crystal is given by
`d=a/sqrt(h^(2)+k^(2)+1^(2))`
i. For 200 plane `d_(200)=5.4/(sqrt(2^(2)+0^(2)+0^(2)))=5.4/sqrt4=2.7Å`
ii. For 110 plane `d_(110)=5.4/(sqrt(1^(2)+1^(2)+0^(2)))=5.4/sqrt2=3.82Å`
iii. For 222 plane `d_(222)=5.4/(sqrt(2^(2)+2^(2)+2^(2)))=5.4/sqrt16=1.35Å`
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