Write down the miller indices for the plane below. Intercepts A(2/3,1,1/2) B(1/2,1/2,1)
To find the Miller indices for the plane with intercepts A(2/3,1,1/2) and B(1/2,1/2,1), we first need to find the reciprocals of each of these intercepts as they represent the fractions of the axes that the plane intersects.
1. Reciprocal of intercept A:
(1/(2/3), 1/1, 1/(1/2))
=> (3/2, 1, 2)
2. Reciprocal of intercept B:
(1/(1/2), 1/(1/2), 1/1)
=> (2, 2, 1)
Now, we need to find the least common multiple of the reciprocals:
LCM(3/2, 1, 2) = 6
LCM(2, 2, 1) = 2
Hence, the Miller indices for the given plane are (3/6, 1/2, 2/2) or simplified as (1/2, 1, 1)