Difference between revisions of "Zone axis"
From Online Dictionary of Crystallography
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<Font color="green">Eje de zona</Font> (''Sp''). <Font color="purple">Ось зоны</Font> (''Ru''). | <Font color="green">Eje de zona</Font> (''Sp''). <Font color="purple">Ось зоны</Font> (''Ru''). | ||
| − | A zone axis is a lattice row parallel to the intersection of two (or more) families of lattices planes. It is denoted by | + | 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: |
| − | [''u'' ''v'' ''w'']. A zone axis [''u'' ''v'' ''w''] is parallel to a family of lattice planes of [[Miller indices]] | ||
| − | (''hkl'') if: | ||
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| − | 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>) | + | 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: |
| − | are given by: | ||
[[image:Zoneaxis-1.png|center]] | [[image:Zoneaxis-1.png|center]] | ||
| − | Three lattice planes have a common zone axis (''are in zone'') if their Miller indices 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]] | [[image:Zoneaxis-2.png|center]] | ||
Revision as of 09:26, 4 February 2006
Axe de zone (Fr). Zonenachse (Ge). Eje de zona (Sp). Ось зоны (Ru).
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:
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:
