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Direction
[uvw] ; multiples are identical ; in cub parallel to plane w same indices
Family of Directions
<uvw> ; have the same indices but in a separate order or negative EX <1,0,0> [100] , [010] , [001] , [-100] , [0-10] , [00-1]. Use tree method.
Plane
(hkl) ; negatives identical ; multiples are parallel
Family of Planes
{hkl} ; EX {100} (100) , (010) , (001) , (-100) , (0-10) , (00-1)
Cubic Directions Steps
Tail at origin identify head coordinates
Clear fractions and reduce
If coordinate negative, shift origin
Cubic Planes Steps
Identify intercepts
Reciprocals
Clear fractions don’t reduce
If negative, shift origin