3. A family of planes consists of equivalent planes so far as the atom arrangement is concerned 10}=(110)+(110)+(101)+ (101)+(011)+(01 Total: 6 111=(111)+(111)+(111)+ Total: 4
3. A family of planes consists of equivalent planes so far as the atom arrangement is concerned. (101) (011) (011) {110} (110) (110) (101) + + = + + + Total: 6 (111) {111} = (111) + (111) + (111) + Total: 4
112}=(112)+(112)+(112)+(112)+ (121)+(121)+(121)+(121)+ (211)+(211)+(211)+(211) otal 123}=(123)+(123)+(123)+(123)+(132)+ 132)+(132)+(132)+(231)+(231)+ (231)+(231)+(213)+(213)+(213)+ 213)+(312)+(312)+(312)+(312)+ (321)+(321)+(321)+(321) Tota:4×3!=24
(211) (211) (211) (211) (121) (121) (121) (121) {112} (112) (112) (112) (112) + + + + + + + = + + + + (321) (321) (321) (321) (213) (312) (312) (312) (312) (231) (231) (213) (213) (213) (132) (132) (132) (231) (231) {123} (123) (123) (123) (123) (132) + + + + + + + + + + + + + + + + + + = + + + + + Total: 12 Total: 4×3!=24
l. Direction Indices 1. Derivation for the crystallographic direction o As the first above, set the origin on the direction to be indexed (2 Find the coordinates of another point on the direction in questions 3 Reduce to three smallest integers: u, v, w (4 Enclose in square brackets Ju vwI
◆ Ⅲ. Direction Indices 1. Derivation for the crystallographic direction ① As the first above, set the origin on the direction to be indexed. ② Find the coordinates of another point on the direction in questions. ③ Reduce to three smallest integers: u, v, w. ④ Enclose in square brackets [u v w]