Question

1) What are the following directions in the cubic unit cells; don't just answer but SHOW the route you took!

Answer 1

Direction of plane = coordinate of hand -coordinate of tail = (0, 0, 1) - (0, 1, 0) = (0, -0) , (0, -1) , (1, -0) = (0, -1, 1) = (0, 1^bar, 1) The miller indices of a direction are always written in square brackets therefore Direction of palne = (1/2 , 1/2 , 0) - (1 /2, 1, 1/2) = (1 /2- 1, 1/2) = (1 /2-1/2) , (1 /2-1) , (0-1/2) = (0, -1/2, -1/2) times 2 multiplying by smallest integer �2� = (0, -1, -1) = [0, 1^bar, 1^bar] Direction of plane = (0, 1, 1/2) - (0, 0, 1/2) = (0, -0) , (1-0) , (1 /2-1/2) = (0, 1, 0) = [0, 1, 0] Direction of plane in vector components of the direction resolved along each of the axes & reduced to smallest integer