Space Group Table - Sum Chan's Bookmark at MBI of UCLA

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Bravais Lattice Space groups used first to ID Laue group Candidates Reflection Conditions
Primitive Cubic P213


P4132
195  P23
198  P213

207  P432
208  P4232
212  P4332
213  P4132

(2n,0,0)


(2n,0,0)
(4n,0,0)*
(4n,0,0)*
I Centered Cubic I213


I4132
197  I23
199  I213

211  I432
214  I4132




(4n,0,0)
F Centered Cubic F23

F4132
196  F23

209  F432
210  F4132



(4n,0,0)
Primitive Rhombohedral R3

R32
146  R3

155  R32
 
Primitive Hexagonal P31



P3112



P3121



P61






P6122
143  P3
144  P31
145  P32

149  P312
151  P3112
153  P3212

150  P321
152  P3121
154  P3221

168  P6
169  P61
170  P65
171  P62
172  P64
173  P63

177  P622
178  P6122
179  P6522
180  P6222
181  P6422
182  P6322

(0,0,3n)*
(0,0,3n)*


(0,0,3n)*
(0,0,3n)*


(0,0,3n)*
(0,0,3n)*


(0,0,6n)*
(0,0,6n)*
(0,0,3n)**
(0,0,3n)**
(0,0,2n)


(0,0,6n)*
(0,0,6n)*
(0,0,3n)**
(0,0,3n)**
(0,0,2n)
Primitive Tetragonal P41




P41212
75  P4
76  P41
77  P42
78  P43

89  P422
90  P4212
91  P4122
92  P41212
93  P4222
94  P42212
95  P4322
96  P43212

(0,0,4n)*
(0,0,2n)
(0,0,4n)*


(0,2n,0)
(0,0,4n)*
(0,0,4n),(0,2n,0)**
(0,0,2n)
(0,0,2n),(0,2n,0)
(0,0,4n)*
(0,0,4n),(0,2n,0)**
I Centered Tetragonal I41


I4122
79  I4
80  I41

97  I422
98  I4122

(0,0,4n)


(0,0,4n)
Primitive Orthorhombic P212121 16  P222
17  P2221
18  P21212
19  P212121

(0,0,2n)
(2n,0,0),(0,2n,0)
(2n,0,0),(0,2n,0),(0,0,2n)
C Centered Orthorhombic C2221 20  C2221
21  C222
(0,0,2n)
I Centered Orthorhombic I212121 23  I222
24  I212121
*
*
F Centered Orthorhombic F222 22  F222  
Primitive Monoclinic P21 3  P2
4  P21

(0,2n,0)
C Centered Monoclinic C2 5  C2  
Primitive Triclinic P1 1  P1  

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