Chapter/Index: Introduction | A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z |
Appendix
Directions in Lattice Systems of Crystals
| There are several important, related notations:
i) Plane(s):
i.a) The notation (hkl) represents a plane.
i.b) The notation {hkl} denotes the family of all the planes that are equivalent to (hkl) by the symmetry of the lattice.
ii) Direction(s):
ii.a) The notation [hkl] represents a direction that denotes the direction in the basis of the direct lattice vectors instead of the reciprocal lattice.
ii.b) The notation <hkl> represents a family of the directions that are equivalent to [hkl] by symmetry.
As an example, Figure 2504 shows a method to evaluate the crystal direction in a cubic lattice if the direction intercepts on a plane.
Figure 2504. Evaluation of the crystal direction in a cubic lattice.
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