32.5 Indices of crystal planes and directions I What's crystal planes and direct i ons? The atomic planes and directions passing through the crystal are called(crystal) planes and directions espectively
§2.5 Indices of crystal planes and directions ◆Ⅰ.What’s crystal planes and directions? The atomic planes and directions passing through the crystal are called (crystal) planes and directions respectively
◆‖.P| ane indices 1. Steps to determinate the plane indices O Establish a set of coordinate axes 2 Find the intercepts of the planes to be indexed on a, b and c axes (r,y,=) b
1. Steps to determinate the plane indices: Establish a set of coordinate axes Find the intercepts of the planes to be indexed on a, b and c axes (x, y, z). a c b x y z ◆Ⅱ. Plane indices
3 Take the reciprocals of the intercepts 1/x, 1/y, 1/z 4 Clear fractions but do not reduce to lowest integers 5 Enclose them in parentheses,(h k1) EXample:1/2,1,2/3->2,1,3/2-(423) Plane indices referred to three axes a b and c are also called miller Indices
Take the reciprocals of the intercepts 1/x, 1/y, 1/z. Clear fractions but do not reduce to lowest integers. Enclose them in parentheses, (h k l) Example: 1/2,1,2/3 2,1,3/2 (423) Plane indices referred to three axes a, b and c are also called Miller Indices
Several important aspects of the Miller indices for planes should be noted Planes and their negatives are identical. Therefore(020)=(020) e Planes and their multiples are not identical 3 In cubic systems, a direction that has the same indices as a plane is perpendicular to that plane
Several important aspects of the Miller indices for planes should be noted: Planes and their negatives are identical. Therefore . Planes and their multiples are not identical. In cubic systems, a direction that has the same indices as a plane is perpendicular to that plane. (020) = (020)
2. The important planes in cubic crystals (00 (110) (111 112)
2. The important planes in cubic crystals (110) (112) (111) (001)