Calculate the miller indices of crystal. Planes which cut through the crystal axes at

Options

A. `(2a, 3b, c)`
B. `(a, b, c)`
C. `(6a, 3b, 3c)`
D. `(2a, -3b, -3c)`

Explanation

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))`.