Write the millers indices for the plane. Intercepts A(3/2,1,2/1) B(1/2,1/2,1)
To determine the Miller indices for the plane with intercepts A(3/2, 1, 2/1) and B(1/2, 1/2, 1), we need to follow these steps:
1. Find the reciprocals of the intercepts to get the fractional intercepts: (2/3, 1, 1/2) for point A and (2, 2, 1) for point B.
2. Find the least common multiple of the fractional intercepts to convert them into integers: the least common multiple is equal to 6 (2/3 * 6 = 4, 1*6 = 6, 1/2 * 6 = 3).
3. The integers after multiplying by the least common multiple are (4, 6, 3) for point A and (12, 12, 6) for point B.
4. Take the reciprocals of these integers to obtain the Miller indices: (1/4, 1/6, 1/3) for point A and (1/12, 1/12, 1/6) for point B.
Therefore, the Miller indices for the plane are (4/3, 6, 3/2).