Direction indices - Revision history

BrianMcMahon: Style edits to align with printed edition

2017-11-29T15:44:12Z

Style edits to align with printed edition

BrianMcMahon: Tidied translations and added German and Spanish (U. Mueller)

2017-11-10T13:49:14Z

Tidied translations and added German and Spanish (U. Mueller)

MassimoNespolo: typo

2017-09-01T10:16:49Z

typo

MassimoNespolo: Created page with "Indices de direction (''Fr''); Indices de dirección (''Sp''); Indici di direzione (''It'');
2017-09-01T10:13:11Z

Created page with "Indices de direction (''Fr''); Indices de dirección (''Sp''); Indici di direzione (''It''); <fo..."

New page
Indices de direction (''Fr''); Indices de dirección (''Sp''); Indici di direzione (''It''); 方向指数 (''Ja'').

Any direction in a Bravais lattice is identified by a set of N indices (where N is the dimensionality of the space), written in square brackets, called the '''direction indices'''.

In the three-dimensional space, the direction passing through the origin and the lattice nodes ''nu'',''nv'',''nw'', where ''n'' is an integer, has direction indices [''uvw'']. This corresponds to taking the coordinates of the first lattice node on that direction after the origin as direction indices. The indices [-''u'', -''v'' and -''w''] identify the same direction as [''uvw''] simply observed from the opposite side.

When a primitive unit cell is used, the direction indices are all integer; they may instead be rational when a centred unit cell is adopted.

== See also ==
*[[Miller indices]]

[[Category:Fundamental crystallography]] 
[[Category:Morphological crystallography]]

@@ Line 1: / Line 1: @@
-<font color = "blue">Indices de direction</font> (''Fr''). <font color="red">Richtungssymbol</font> (''Ge''). <font color="black">Indici di direzione</font> (''It''). <font color="purple">方向指数</font>(''Ja''). <font color="green">Índices de dirección</font>(''Sp'').
+<font color = "blue">Indices de direction</font> (''Fr''). <font color="red">Richtungssymbol</font> (''Ge''). <font color="black">Indici di direzione</font> (''It''). <font color="purple">方向指数</font> (''Ja''). <font color="green">Índices de dirección</font> (''Sp'').
-Any direction in a Bravais lattice is identified by a set of N indices (where N is the dimensionality of the space), written in square brackets, called the '''direction indices'''.
+Any direction in a Bravais lattice is identified by a set of ''N'' indices (where ''N'' is the dimensionality of the space), written in square brackets, called the '''direction indices'''.
-In the three-dimensional space, the direction passing through the origin and the lattice nodes ''nu'',''nv'',''nw'', where ''n'' is an integer, has direction indices [''uvw'']. This corresponds to taking the coordinates of the first lattice node on that direction after the origin as direction indices. The indices [-''u'', -''v'', -''w''] identify the same direction as [''uvw''] simply observed from the opposite side.
+In three-dimensional space, the direction passing through the origin and the lattice nodes ''nu'',''nv'',''nw'', where ''n'' is an integer, has direction indices [''uvw'']. This corresponds to taking the coordinates of the first lattice node on that direction after the origin as direction indices. The indices [-''u'', -''v'', -''w''] identify the same direction as [''uvw''] simply observed from the opposite side.
 When a primitive unit cell is used, the direction indices are all integer; they may instead be rational when a centred unit cell is adopted.

← Older revision		Revision as of 13:49, 10 November 2017
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−	<font color = "blue">Indices de direction</font> (''Fr''); <font color="~~green~~">~~Indices de dirección~~ </font>(''Sp''); <font color="black">Indici di direzione</font> (''It''); <font color="purple"> 方向指数 </font>(''Ja'').	+	<font color = "blue">Indices de direction</font> (''Fr''). <font color="red">Richtungssymbol</font> (''Ge''). <font color="black">Indici di direzione</font> (''It''). <font color="purple">方向指数</font>(''Ja''). <font color="green">Índices de dirección</font>(''Sp'').