Determine the millers indices for plane. Intercepts A (2/3,1,1/2) B (1/2,1/2,1)

To determine the Miller indices for the plane with the intercepts A(2/3, 1, 1/2) and B(1/2, 1/2, 1), we first need to find the reciprocal of the intercepts as follows:

Reciprocal of A = (3/2, 1, 2)
Reciprocal of B = (2, 2, 1)

Next, we find the least common multiple (LCM) of the reciprocals:

LCM of (3/2, 1, 2) and (2, 2, 1) = (6, 2, 2)

Therefore, the Miller indices for the plane with intercepts A(2/3, 1, 1/2) and B(1/2, 1/2, 1) is {h k l} = {6 2 2}.