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Difference between revisions of "Zone axis"

From Online Dictionary of Crystallography

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Three lattice planes have a common zone axis (''are in zone'') if their Miller indices (<math> h_1, k_1, l_1 </math>), (<math> h_2, k_2, l_2</math>), (<math> h_3, k_3, l_3</math>) satisfy the relation:
 
Three lattice planes have a common zone axis (''are in zone'') if their Miller indices (<math> h_1, k_1, l_1 </math>), (<math> h_2, k_2, l_2</math>), (<math> h_3, k_3, l_3</math>) satisfy the relation:
  
[[image:Zoneaxis-2.png|center]]
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<center>
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<math>
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\begin{vmatrix} h_1 & k_1 & l_1\\
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h_2 & k_2 & l_2\\
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h_3 & k_3 & l_3\\
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\end{vmatrix} = 0</math>
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</center>
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== See also ==
 
== See also ==

Revision as of 14:32, 6 February 2006

Axe de zone (Fr). Zonenachse (Ge). Eje de zona (Sp). Ось зоны (Ru).

Definition

A zone axis is a lattice row parallel to the intersection of two (or more) families of lattices planes. It is denoted by [u v w]. A zone axis [u v w] is parallel to a family of lattice planes of Miller indices (hkl) if:

uh + vk + wl = 0

The indices of the zone axis defined by two lattice planes ([math] h_1, k_1, l_1 [/math]), ([math] h_2, k_2, l_2[/math]) are given by:

Zoneaxis-1.png

Three lattice planes have a common zone axis (are in zone) if their Miller indices ([math] h_1, k_1, l_1 [/math]), ([math] h_2, k_2, l_2[/math]), ([math] h_3, k_3, l_3[/math]) satisfy the relation:

[math] \begin{vmatrix} h_1 & k_1 & l_1\\ h_2 & k_2 & l_2\\ h_3 & k_3 & l_3\\ \end{vmatrix} = 0[/math]


See also

Miller indices
reciprocal lattice