==Pb3(PO4)2==
166
5.56 5.56 20.39 90. 90. 120.
5
Pb	1	3a	0.000000	0.000000	0.000000
Pb	2	6c	0.000000	0.000000	0.212600
P	1	6c	0.000000	0.000000	0.402100
O	1	6c	0.000000	0.000000	0.329000
O	2	18h	0.181000	-0.181000	0.096000
[CC= 8095]

15
13.8 5.691 9.42 90. 102.3 90.
7
Pb 1 4e 0 0.291 0.25
Pb 2 8f 0.317 0.309 0.352
P 1 8f 0.599 0.241 0.447
O 1 8f 0.643 0.030 0.392
O 2 8f 0.634 0.464 0.374
O 3 8f 0.642 0.280 0.612
O 4 8f 0.491 0.222 0.420
[CC= 38007]

==Zn O==

High Symmetry Structure
225
4.26665 4.26665 4.26665 90. 90. 90.
2
Zn    1   4a    0.000000 0.000000 0.000000              
O     1   4b    0.500000 0.500000 0.500000              

Low Symmetry Structure
12
17.15510 3.31375 5.38196 90 90.41115 90
6
Zn    1   4i    0.780170 0.000000 0.199880              
Zn    2   4i    0.889880 0.000000 0.684780              
Zn    3   4i    0.558410 0.000000 0.813170              
O     1   4i    0.442050 0.000000 0.804930              
O     2   4i    0.219840 0.000000 0.205740              
O     3   4i    0.890170 0.000000 0.309050              
[Index: 72]
Transformation Matrix (P,p): (3b,-c,-a;1/4,7/4,0)

Structuredmax. (Å)Structuredmaxdav. (Å)StructuredmaxdavΔ
0.14600.58540.55980.996

==Muller - Translationengleiche==
*FeS2* PA-3 (205)
205
5.4178 5.4178 5.4178 90. 90. 90.
2
Fe 1 4a 0 0 0
S 1 8c 0.38473 0.38473 0.38473
[CC= 235825]

*PdS2* PBCA (61)
61
5.465 5.538 7.525 90. 90. 90.
2
Pd 1 4a 0 0 0
S 1 8c 0.104 0.109 0.416
[CC= 166276]

*PtGeSe* PCA21 (29) -- Non-std in the text!
29
6.00984 6.06174 5.98187 90. 90. 90.
3
Pt 1 4a 0.0081 0.7422 0
Ge 1 4a 0.6190 0.3751 0.3830
Se 1 4a 0.3842 0.1370 0.6151
[CC= 822]

*NiAsS* P213 (198)
198
5.6888 5.6888 5.6888 90 90 90
3
Ni 1 4a 0.9944 0.9944 0.9944
As 1 4a 0.6182 0.6182 0.6182
S 1 4a 0.3849 0.3849 0.3849
[CC= 93899]


==Muller - Klassengleiche==
*AlB2* P6/MMM (191) 
191
3.00390 3.00390 3.28060 90 90 120
2
Al 1 1a 0.000000 0.000000 0.000000
B 1 2d 0.333333 0.666667 0.500000
[CC= 671445]

*ZrBeSi* P63/MMC (194) 
194
3.722 3.722 7.232 90. 90. 120.
3
Zr 1 2a 0 0 0
Be 1 2c 0.3333 0.6667 0.250
Si 2 2d 0.3333 0.6667 0.750
[CC= 196723]

*CaIn2* P63/MMC (194)
194
4.892 4.892 7.739 90.00 90.00 120.00
2
In 1 4f 0.6667 0.3333 0.04763
Ca 1 2b 0.0000 0.0000 0.2500
[CC= 414232]

==Muller Isomorphic Maximal Subgroups==
*TiO2 (Rutile)* P42/MNM (136)
136
4.6012 4.6012 2.9637 90. 90. 90.
2
Ti 1 2a 0 0 0
O 1 4f 0.3049 0.3049 0
[CC= 257864]]

*ZnSb2O6 (Ordonezite/Trirutile)* P42/MNM (136)
136
4.6638 4.6638 9.263 90 90 90
4
Zn 1 2a 0 0 0
Sb 1 4e 0 0 0.3322
O 1 4f 0.315 0.315 0
O 2 8j 0.304 0.304 0.325
[CC= 96612]

==Muller Common Supergroup==
*alpha-Na2CO3* P63/MMC (194) 
194
5.20784 5.20784 6.45403 90. 90. 120.
4
Na 1 2a 0 0 0
Na 2 2c 0.6667 0.3333 0.75
C 1 2d 0.6667 0.3333 0.25
O 1 6h 0.7958 0.2042 0.25
[CC= 81004]

*alpha-K2CO3* P63/MMC (194)
194
5.66 5.66 7.1 90. 90. 120.
4
K 1 2a 0 0 0
K 2 2c 0.3333 0.6667 0.25
C 1 2d 0.3333 0.6667 0.75
O 1 6h 0.203 0.406 0.75
[CC= 52535]

--intermediate phase Cmcm(#63)

*beta-K2CO3* C12/C1 (15)
15
5.675 9.920 7.018 90. 96.8 90.
5
K 1 4a 0.5 0.5 0.5
K 2 4e 0 0.332 0.25
C 1 4e 0 0.333 0.75
O 1 4e 0.5 0.702 0.75
O 2 8f 0.678 0.895 0.707
[CC= 662]

*beta-Na2CO3* C12/M1 (12)
12
8.898 5.237 5.996 90. 101.87 90.
6
Na 1 2a 0 0 0
Na 2 2c 0 0 0.5
Na 3 4i 0.17125 0.5 0.74784
C 1 4i 0.16454 0.5 0.24887
O 1 8j 0.10175 0.29345 0.28667
O 2 4i 0.28941 0.5 0.17472
[CC= 281361]
