Difference between revisions of "Template:List space groups Coxeter notation"

Revision as of 11:22, 18 August 2017

Rank four groups as 3-dimensional space groups

Triclinic (1-2)
Coxeter	Space group
[∞⁺,2,∞⁺,2,∞⁺]	(1) P1

Monoclinic (3-15)
Coxeter	Space group
[(∞,2,∞)⁺,2,∞⁺]	(3) P2
[∞⁺,2,∞⁺,2,∞]	(6) Pm
[(∞,2,∞)⁺,2,∞]	(10) P2/m

Orthorhombic (16-74)
File:CDel node.png File:CDel infin.png File:CDel node.png File:CDel 2.png File:CDel node.png File:CDel infin.png File:CDel node.png File:CDel 2.png File:CDel node.png File:CDel infin.png File:CDel node.png
Coxeter	Space group
[∞,2,∞,2,∞]⁺	(16) P222
[[∞,2,∞,2,∞]]⁺	(23) I222
[∞⁺,2,∞,2,∞]	(25) Pmm2
[∞,2,∞,2,∞]	(47) Pmmm
[[∞,2,∞,2,∞]]	(71) Immm
[∞⁺,2,∞⁺,2,∞⁺]
[∞,2,∞,2⁺,∞]
[∞,2⁺,∞,2⁺,∞]

Tetragonal (75-142)
File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 2.png File:CDel node.png File:CDel infin.png File:CDel node.png
Coxeter	Space group
[(4,4)⁺,2,∞⁺]	(75) P4
[2⁺[(4,4)⁺,2,∞⁺]]	(79) I4
[(4,4)⁺,2,∞]	(83) P4/m
[2⁺[(4,4)⁺,2,∞]]	(87) I4/m
[4,4,2,∞]⁺	(89) P422
[2⁺[4,4,2,∞]]⁺	(97) I422
[4,4,2,∞⁺]	(99) P4mm
[4,4,2,∞]	(123) P4/mmm
[2⁺[4,4,2,∞]]	(139) I4/mmm
[4,(4,2)⁺,∞]	(140) I4/mcm
[4,4,2⁺,∞]
[(4,4)⁺,2⁺,∞]
[4,4,2⁺,∞⁺]
[(4,4)⁺,2⁺,∞⁺]
[4⁺,4⁺,2⁺,∞]
[4,4⁺,2,∞]
[4,4⁺,2⁺,∞]
[((4,2⁺,4)),2,∞]
[4,4⁺,2,∞⁺]
[4,4⁺,2⁺,∞⁺]
[((4,2⁺,4)),2,∞⁺]

Trigonal (143-167), rhombohedral
Coxeter	Space group

Hexagonal (168-194)
File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 6.png File:CDel node.png File:CDel 2.png File:CDel node.png File:CDel infin.png File:CDel node.png
[(6,3)⁺,2,∞⁺]	(168) P6
[(6,3)⁺,2,∞]	(175) P6/m
[6,3,2,∞]⁺	(177) P622
[6,3,2,∞⁺]	(183) P6mm
[6,3,2,∞]	(191) P6/mmm
[(3^[3])⁺,2,∞⁺]
[3^[3],2,∞]
[6,3⁺,2,∞]
[6,3⁺,2,∞⁺]
[3^[3],2,∞]⁺
[3^[3],2,∞⁺]
[(3^[3])⁺,2,∞]

Cubic (195-230)
Group	Coxeter	Space group	Index
[[4,3,4]]	[[4,3,4]]	(229) ImTemplate:Overlinem	1
	[[4,3,4]]⁺	(211) I432	2
	[[4,3,4]⁺]	(223) PmTemplate:Overlinen	2
	[[4,3⁺,4]]	(204) ITemplate:Overline	2
	[[(4,3,4,2⁺)]]	(217) ITemplate:Overline3m	2
	[[4,3⁺,4]]⁺	(197) I23	4
	[[4,3,4]⁺]⁺	(208) P4₂32	4
	[[4,3⁺,4)]⁺]	(201) PnTemplate:Overline3	4
	[[(4,3,4,2⁺)]⁺]	(218) PTemplate:Overline3n	4
[4,3,4] File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node.png	[4,3,4]	(221) PmTemplate:Overlinem	2
	[4,3,4]⁺	(207) P432	4
	[4,3⁺,4]	(200) PmTemplate:Overline	4
	[4,(3,4)⁺]	(226) FmTemplate:Overlinec	4
	[(4,3,4,2⁺)]	(215) PTemplate:Overline3m	4
	[[{4,(3}⁺,4)⁺]]	(228) FdTemplate:Overlinec	4
	[4,3⁺,4]⁺	(195) P23	8
	[{4,(3}⁺,4)⁺]	(219) FTemplate:Overline3c	8
[4,3^1,1] File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel split1.png File:CDel nodes.png File:CDel node.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node h0.png	[4,3^1,1]	(225) FmTemplate:Overlinem	4
	[4,(3^1,1)⁺]	(202) FmTemplate:Overline	8
	[4,3^1,1]⁺	(209) F432	8
[[3^[4]]] File:CDel branch.png File:CDel 3ab.png File:CDel branch.png
	[(4⁺,2⁺)[3^[4]]]	(222) PnTemplate:Overlinen	2
	[[3^[4]]]	(227) FdTemplate:Overlinem	4
	[[3^[4]]]⁺	(203) FdTemplate:Overline	8
	[[3^[4]]⁺]	(210) F4₁32	8
[3^[4]] File:CDel branch.png File:CDel 3ab.png File:CDel branch.png File:CDel node h0.png File:CDel 4.png File:CDel node.png File:CDel 3.png File:CDel node.png File:CDel 4.png File:CDel node h0.png	[3^[4]]	(216) FTemplate:Overline3m	8
	[3^[4]]⁺	(196) F23	16

@@ Line 32: / Line 32: @@
 |[∞,2,∞,2,∞]<sup>+</sup>||(16) P222
 |- style="text-align:center;"
-|[</span>[∞,2,∞,2,∞]]<sup>+</sup>||(23) I222
+|[<nowiki/>[∞,2,∞,2,∞]]<sup>+</sup>||(23) I222
 |- style="text-align:center;"
 |[∞<sup>+</sup>,2,∞,2,∞]||(25) Pmm2
@@ Line 38: / Line 38: @@
 |[∞,2,∞,2,∞]||(47) Pmmm
 |- style="text-align:center;"
-|[</span>[∞,2,∞,2,∞]]||(71) Immm
+|[<nowiki/>[∞,2,∞,2,∞]]||(71) Immm
 |- style="text-align:center;"
 |[∞<sup>+</sup>,2,∞<sup>+</sup>,2,∞<sup>+</sup>]||
@@ Line 139: / Line 139: @@
 !Index
 |- style="text-align:center;"
-!rowspan=9|[</span>[4,3,4]]
+!rowspan=9|[<nowiki/>[4,3,4]]
-|[</span>[4,3,4]]||(229) Im{{overline|3}}m||1
+|[<nowiki/>[4,3,4]]||(229) Im{{overline|3}}m||1
 |- style="text-align:center;"
-|[</span>[4,3,4]]<sup>+</sup>||(211) I432||2
+|[<nowiki/>[4,3,4]]<sup>+</sup>||(211) I432||2
 |- style="text-align:center;"
-|[</span>[4,3,4]<sup>+</sup>]||(223) Pm{{overline|3}}n||2
+|[<nowiki/>[4,3,4]<sup>+</sup>]||(223) Pm{{overline|3}}n||2
 |- style="text-align:center;"
-|[</span>[4,3<sup>+</sup>,4]]||(204) I{{overline|3}}||2
+|[<nowiki/>[4,3<sup>+</sup>,4]]||(204) I{{overline|3}}||2
 |- style="text-align:center;"
-|[</span>[(4,3,4,2<sup>+</sup>)]]||(217) I{{overline|4}}3m ||2
+|[<nowiki/>[(4,3,4,2<sup>+</sup>)]]||(217) I{{overline|4}}3m ||2
 |- style="text-align:center;"
-|[</span>[4,3<sup>+</sup>,4]]<sup>+</sup>||(197) I23 ||4
+|[<nowiki/>[4,3<sup>+</sup>,4]]<sup>+</sup>||(197) I23 ||4
 |- style="text-align:center;"
-|[</span>[4,3,4]<sup>+</sup>]<sup>+</sup>||(208) P4<sub>2</sub>32||4
+|[<nowiki/>[4,3,4]<sup>+</sup>]<sup>+</sup>||(208) P4<sub>2</sub>32||4
 |- style="text-align:center;"
-|[</span>[4,3<sup>+</sup>,4)]<sup>+</sup>]||(201) Pn{{overline|4}}3||4
+|[<nowiki/>[4,3<sup>+</sup>,4)]<sup>+</sup>]||(201) Pn{{overline|4}}3||4
 |- style="text-align:center;"
-|[</span>[(4,3,4,2<sup>+</sup>)]<sup>+</sup>]||(218) P{{overline|4}}3n||4
+|[<nowiki/>[(4,3,4,2<sup>+</sup>)]<sup>+</sup>]||(218) P{{overline|4}}3n||4
 |- style="text-align:center;"
 !rowspan=8|[4,3,4]<BR>{{CDD|node|4|node|3|node|4|node}}
@@ Line 169: / Line 169: @@
 |[(4,3,4,2<sup>+</sup>)]||(215) P{{overline|4}}3m||4
 |- style="text-align:center;"
-|[</span>[{4,(3}<sup>+</sup>,4)<sup>+</sup>]]|| (228) Fd{{overline|3}}c || 4
+|[<nowiki/>[{4,(3}<sup>+</sup>,4)<sup>+</sup>]]|| (228) Fd{{overline|3}}c || 4
 |- style="text-align:center;"
 |[4,3<sup>+</sup>,4]<sup>+</sup>||(195) P23||8
@@ Line 184: / Line 184: @@
 |- style="text-align:center;"
-!rowspan=5|[</span>[3<sup>[4]</sup>]]<BR>{{CDD|branch|3ab|branch}}
+!rowspan=5|[<nowiki/>[3<sup>[4]</sup>]]<BR>{{CDD|branch|3ab|branch}}
 |- style="text-align:center;"
 |[(4<sup>+</sup>,2<sup>+</sup>)[3<sup>[4]</sup>]] ||(222) Pn{{overline|3}}n || 2
 |- style="text-align:center;"
-|[</span>[3<sup>[4]</sup>]] || (227) Fd{{overline|3}}m || 4
+|[<nowiki/>[3<sup>[4]</sup>]] || (227) Fd{{overline|3}}m || 4
 |- style="text-align:center;"
-|[</span>[3<sup>[4]</sup>]]<sup>+</sup> ||(203) Fd{{overline|3}}|| 8
+|[<nowiki/>[3<sup>[4]</sup>]]<sup>+</sup> ||(203) Fd{{overline|3}}|| 8
 |- style="text-align:center;"
-|[</span>[3<sup>[4]</sup>]<sup>+</sup>] ||(210) F4<sub>1</sub>32 || 8
+|[<nowiki/>[3<sup>[4]</sup>]<sup>+</sup>] ||(210) F4<sub>1</sub>32 || 8
 |- style="text-align:center;"

Difference between revisions of "Template:List space groups Coxeter notation"

Revision as of 11:22, 18 August 2017

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