
Directions in Lattice Systems of Crystals
 Practical Electron Microscopy and Database 
 An Online Book 

http://www.globalsino.com/EM/

This book (Practical Electron Microscopy and Database) is a reference for TEM and SEM students, operators, engineers, technicians, managers, and researchers.

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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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