[21 10]
Transformation of indices
Transformation of 3 to 4 indices, or vice versa. Suppose we have a vector, whose 3 indices [U V W], and 4 indices [u v t w]. [U W], [u w].
1 1 4× + 2× 4 2 = 1.4 a2 2a2
1 1 3× + 3× 6 2 = 2.3 a2 3 2 a 2
atomic atomic planar density arrangement arrangement
c c´
(111)
b a a´ b´
(1 11)
4. The atomic arrangement and planar density of the important direction in cubic crystal.
plane indices
BCC
FCC
planar density
1 4× +1 4 = 2 a2 a2
z y x
bcals 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)
材料科学基础
Fundamental of Materials Science
Prof: Tian Min Bo
Tel: 62795426 ,62772851 E-mail: tmb@ Department of Material Science and Engineering Tsinghua University. Beijing 100084