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Calculate the Miller indices of crystal ...

Calculate the Miller indices of crystal planes which cut through the crystal axes at (i) (2a, 3b, c) (ii) (a, b, c) (iii) (6a, 3b, 3c) and (iv) (2a, -3b, -3c).

A

`(2a, 3b, c)`

B

`(a, b, c)`

C

`(6a, 3b, 3c)`

D

`(2a, -3b, -3c)`

Text Solution

Verified by Experts

Following the procedure given above, we prepare the tables as follow:
i. `{:(a,b,c),(2,3,1),(1//2,1//3,1),(3,2,6):}`
Hence, the miller indices `(326)`
ii. `{:(a,b,c),(1,1,1),(1,1,1),(1,1,1):}`
Hence, the miller indices are `(111)`.
iii. `{:(a,b,c),(6,3,3),(1//6,1//3,1//3),(1,2,2):}`
Hence, the miler indices are `(122)`.
iv. `{:(a,b,c),(2,-3,-3),(1//2,-1//3,-1//3),(3,-2,-2):}`
Hence, the miller indices are `(3overline(22))`.
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