Atomic surface - Revision history

BrianMcMahon: Tidied translations.

2017-11-27T18:23:01Z

Tidied translations.

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

2017-11-08T18:10:40Z

Tidied translations and added German (U. Mueller)

BrianMcMahon: Style edits to align with printed edition

2017-05-12T12:41:11Z

Style edits to align with printed edition

MassimoNespolo: cat

2015-02-26T07:59:03Z

cat

GervaisChapuis at 15:35, 7 July 2014

2014-07-07T15:35:04Z

BrianMcMahon at 16:56, 3 February 2012

2012-02-03T16:56:51Z

BrianMcMahon at 15:25, 30 June 2010

2010-06-30T15:25:01Z

TedJanssen at 15:46, 18 May 2009

2009-05-18T15:46:26Z

TedJanssen at 13:34, 18 May 2009

2009-05-18T13:34:55Z

New page

[[Atomic Surface]]

Surface atomique, fenêtre, domaine d'acceptation (Fr.)
'''
Definition'''

Quasiperiodic structures may be considered as the intersection of a higher-dimensional
lattice periodic structure and the physical space. For point atoms or the vertices of
a tiling, the higher-dimensional structure consists of a periodic array of
objects with a dimension equal to ''n-m'', the difference between the rank of the
Fourier module and the dimension of the physical space (usually three), and
transverse ( ''i.e.'' not tangential) to the physical space. The ''atomic surface''
is the (''n-m'')-dimensional object in superspace (see there) corresponding to a point atom
in physical space.

For incommensurately modulated crystals with a smooth modulation function,
these atomic surfaces are unbounded (cf. Fig. \ref{embed}). They have the same dimension as the internal
space and they have lattice periodicity. For other aperiodic crystals, the atomic
surfaces consists of disjoint components, the atomic domains (also called
windows, atomic surfaces, or acceptance domains).

'''See also''': Superspace, acceptance domain.

[[Image:IncEmbed.gif]]

Figure Caption.
A one-dimensional incommensurate phase with a two-dimensional modulation is the
intersection of the one-dimensional physical space with an periodic array of
two-dimensional surfaces, with three-dimenisonal lattice periodicity.

← Older revision		Revision as of 18:23, 27 November 2017
Line 1:		Line 1:
−	<font color="blue">Surface atomique, fenêtre, domaine d'acceptation</font> (Fr). <font color="red">Akzeptanz-Domäne, atomare Oberfläche</font> (''Ge'').	+	<font color="blue">Surface atomique, fenêtre, domaine d'acceptation</font> (''Fr''). <font color="red">Akzeptanz-Domäne, atomare Oberfläche</font> (''Ge'').

	== Definition ==		== Definition ==

← Older revision		Revision as of 18:10, 8 November 2017
Line 1:		Line 1:
−	<~~Font~~ color="blue">Surface atomique, fenêtre, domaine d'acceptation </font>(Fr).	+	<font color="blue">Surface atomique, fenêtre, domaine d'acceptation</font> (Fr). <font color="red">Akzeptanz-Domäne, atomare Oberfläche</font> (''Ge'').

	== Definition ==		== Definition ==

@@ Line 1: / Line 1: @@
-<Font color="blue">Surface atomique,  fen&ecirc;tre,  domaine d'acceptation </font>(Fr.)
+<Font color="blue">Surface atomique,  fen&ecirc;tre,  domaine d'acceptation </font>(Fr).
 == Definition ==
-Quasiperiodic structures may be considered as the intersection of a higher-dimensional lattice periodic structure and the physical space. For point atoms or the vertices of a tiling, the higher-dimensional structure consists of a periodic array of objects with a dimension equal to ''n-m'', the difference between the rank of the Fourier module and the dimension of the physical space (usually three), and transverse ( ''i.e.'' not tangential) to the physical space. The  ''atomic surface'' is the (''n-m'')-dimensional object in superspace (see there) corresponding to a point atom in physical space.
+Quasiperiodic structures may be considered as the intersection of a higher-dimensional lattice periodic structure and the physical space. For point atoms or the vertices of a tiling, the higher-dimensional structure consists of a periodic array of objects with a dimension equal to ''n-m'', the difference between the rank of the Fourier module and the dimension of the physical space (usually three), and transverse (''i.e.'' not tangential) to the physical space. The  ''atomic surface'' is the (''n-m'')-dimensional object in superspace (see figure) corresponding to a point atom in physical space.
-For incommensurately modulated crystals with a smooth modulation function, these atomic surfaces are unbounded (cf. Figure). They have the same dimension as the internal space and they have lattice periodicity. For other aperiodic crystals, the atomic surfaces consists of disjoint components, the atomic domains (also called windows, atomic surfaces, or acceptance domains).
+For incommensurately modulated crystals with a smooth modulation function, these atomic surfaces are unbounded (see figure). They have the same dimension as the internal space and they have lattice periodicity. For other aperiodic crystals, the atomic surfaces consists of disjoint components, the atomic domains (also called windows, atomic surfaces, or acceptance domains).
-[[Image:IncEmbed.gif]]
+[[Image:IncEmbed.gif|frame|A one-dimensional incommensurate phase with a two-dimensional modulation is the intersection of the one-dimensional physical space with a periodic array of two-dimensional surfaces, with three-dimensional lattice periodicity.|right|400px]]
 == See also ==
-[[Superspace]]<br>
+*[[Superspace]]
-[[acceptance domain]]
+*[[Acceptance domain]]
 [[Category: Fundamental crystallography]]

← Older revision		Revision as of 07:59, 26 February 2015
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	== See also ==		== See also ==
−	[[Superspace]], [[acceptance domain]]	+	[[Superspace]]<br>
		+	[[acceptance domain]]
		+
		+	[[Category: Fundamental crystallography]]

@@ Line 10: / Line 10: @@
 Figure Caption.
-A one-dimensional incommensurate phase with a two-dimensional modulation is the intersection of the one-dimensional physical space with an periodic array of two-dimensional surfaces, with three-dimensional lattice periodicity.
+A one-dimensional incommensurate phase with a two-dimensional modulation is the intersection of the one-dimensional physical space with a periodic array of two-dimensional surfaces, with three-dimensional lattice periodicity.
 == See also ==
 [[Superspace]], [[acceptance domain]]

@@ Line 2: / Line 2: @@
 Surface atomique,  fen&ecirc;tre,  domaine d'acceptation (Fr.)
-'''
+<Font color="blue">Surface atomique,  fen&ecirc;tre,  domaine d'acceptation </font>(Fr.)
- Definition'''
 Quasiperiodic structures may be considered as the intersection of a higher-dimensional