Dplanes+dirns

# Dplanes+dirns - The arrangement of atoms (or ions or mers)...

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The arrangement of atoms (or ions or mer s) has an impact on how the material behaves under a given set of conditions. The arrangement of atoms is not is not the same along different planes and directions. So we can expect property differences along different planes and directions in a crystal. This is called anisotropy . In this section, we will develop some universal definitions for describing planes and directions in crystals. Once we have a universal definition, then the arrangement of atoms can be obtained based on this definition.

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Directions in a Unit Cell Determine coordinates of 2 points in the direction Subtract coordinates of tail from head Clear fractions and/or reduce to lowest integers Enclose in [ ]. For x y z
Directions in a Unit Cell Determine coordinates of 2 points in the direction O – (0,0,0) A – (1, 1/2 ,0) Subtract coordinates of tail from head (1, 1/2 ,0 – 0,0,0) Clear fractions and/or reduce to lowest integers 1, ½, 0 2 1 0 Enclose in [ ]. For negative numbers use a bar over the number [210] [210] x y z O A

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x y z 1/2 1/2 A B Note: No commas in final answer
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## Dplanes+dirns - The arrangement of atoms (or ions or mers)...

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