; XTAL.INI  Bob Hanson 1/31/97
; for use with ORIGAMI.EXE and COORD.EXE
; PART 1: internal coord
; PART 2: crystallographic coord

; PART 1: internal coord

; <space group symbol>,<intl table #>,LLLL=xyz|xyz|...
; where L is the type of movement allowed: _none, R referenced, T theta-only, P phi-only
; if R, then also need an indication after 'XYmovesYrefZ
; .1723 is sqr(3)/10

; bug fix 10/10/97: had Pmmm in Tetragonal section of Internal Symmetries
; bug fix 1/24/98: missing #27; symmetries on some others corrected.
; 7/6/98: changed internal coord to 5000 from 1000
[VERSION]
Update=2.4

[DefaultModel]
tetrahedral=(cad) 0 T (acb) 1 F T (dbc) 2 F F F T (bda) 3 F F F F F | (scale 200) (offsetx -2.08) (offsety 1.81) (rotation 180)
see-saw=(bac) 0 T (abd) 1 F F F T (dca) 2 F F F T (cdb) 3 F F F| (scale 175) (offsetx 0.80) (offsety 0.37) (rotation 90)
trigonal bipyramidal=(cbd) 0 T (bca) 1 F F F T (adb) 2 F F F T (dec) 3 T (eda) 1 F F F T (ace) 2 F F F F| (scale 175) (offsetx 0.17) (offsety 1.33) (rotation 120)
;octahedral=(cab) 0 T (ace) 1 F T (fec) 2 T (def) 2 F F F F F T (eda) 3 F F F T (dba) 2 T (fbd) 2 F F F F F T (bfc) 3 F F F | (scale 175) (offsetx -0.09) (offsety -0.80) (rotation 90)
square pyramidal=(dab) 0 F F T (bced) 4 T (cba) 1 F F F T (aec) 2 F F F T (ead) 3 F F F F| (scale 175) (offsetx -1.77) (offsety 2.22) (rotation 45)

[Internal Symmetries]
Triclinic=P1|P-1
Monoclinic=Pm(unique axis b)|P2(unique axis c)
Trigonal=P3|P321
Tetragonal=P4|P42/m|P4/m
Orthorhombic=Pmmm
Cubic=P23

[varx]
x0=5000
x1=0.050
x2=1.414
x3=1.732

[diatomic]
A2=P-1,2,_=0,.5-x1/2,0
AX=P1,1,__=0,.5-x1/2,0|0,.5+x1/2,0

[linear]
AX2=P-1,2,__=0,.5,0|0,.5-x1,0
AXY=P1,1,___=0,.5,0|0,.5-x1,0|0,.51+x1,0

[bent]
AX2=Pm(unique axis b),6,_P=0,.5,0|x1/2,.5+x1*x3/2,0
AXY=P1,1,_P_=0,.5,0|x1/2,.5-x1*x3/2,0|x1/2*1.1,.5+x1*x3/2*1.1,0

[trigonal planar]
AX3=P3,143,__=0,0,0|0,x1,0
AX2Y=Pm(unique axis b),6,_P_=.5,.5,0|.5+x1/2,.5-x1*x3/2,0|.5-x1*1.1,.5,0
AXYZ=P1,1,__PP=.5,.5,0|.5+x1/2,.5-x1*x3/2,0|.5+x1/2*1.1,.5+x1*x3/2*1.1,0|.5-x1*0.9,.5,0

[trigonal pyramidal]
AX3=P3,143,_T=0,0,.5|0,x1*x2*2/3,.5-x1/3
AX2Y=Pm(unique axis b),6,_RT=.5,.5,.5|.5+x1*x2/3,.5-x1*x2/x3,.5-x1/3|.5-x1*x2*2/3*1.1,.5,.5-x1/3*1.1'XXmovesXrefY
AXYZ=P1,1,_RRR=.5,.5,.5|.5+x1*x2/3,.5+x1*x2/x3,.5-x1/3|.5+x1*x2/3*1.1,.5-x1*x2/x3*1.1,.5-x1/3*1.1|.5-x1*x2*2/3*0.9,.5,.5-x1/3*0.9|'XYmovesYrefZ,XZmovesZrefY,YZmovesZrefX

[square pyramidal]
AX4Y=P4,75,_T_=0,0,0|0,0,x1|0,x1*1.1,0

[tetrahedral]
AX4=P42/m,84,__=0,0,.25|0,x1*x2/x3,.25+x1/x3
AX3Y=P3,143,_T_=0,0,.5|0,x1*x2*2/3,.5-x1/3|0,0,.5+x1*1.1
AX2Y2=P2(unique axis c),3,_TT=.5,.5,.5|.5,.5+x1*x2/x3,.5+x1/x3|.5+x1*x2/x3*1.1,.5,.5-x1/x3*1.1
AXYZW=P1,1,RRRR=.5,.5,.5|.5-x1/x3,.5-x1/x3,.5-x1/x3|.5-x1/x3*1.1,.5+x1/x3*1.1,.5+x1/x3*1.1|.5+x1/x3*0.9,.5+x1/x3*0.9,.5-x1/x3*0.9|.5+x1/x3*1.2,.5-x1/x3*1.2,.5+x1/x3*1.2'XYmovesYrefW,XZmovesZrefW,YZmovesZrefW,WXmovesXrefZ,WYmovesYrefX,WZmovesZrefY

[T-shaped]
AX2Y=Pm(unique axis b),6,_P_=0,.5,0|0,.5+x1*1.1,0|x1,.5,0
AXYZ=P1,1,_RRR=0,.5,0|0,.5-x1*1.1,0|0,.5+x1*.9,0|x1*.8,.5,0'XYmovesXrefY,XZmovesZrefX,YZmovesZrefY

[see-saw]
AX2Y2=P2(unique axis c),3,_TT=0,0,.5|x1*x3/2,0,.5-x1/2|0,x1*1.1,.5

[square planar]
AX4=P4,75,_=0,0,0|0,x1,0
AXYZW=P1,1,_PPPR=.5,.5,0|.5-x1*1.1,.5,0|.5,.5-x1*0.9,0|.5+x1*0.95,.5,0|.5,.5+x1*1.05,0'ZWmovesWrefZ

[trigonal bipyramidal]
AX3Y2=P321,150,___=0,0,0|0,x1,0|0,0,x1*1.1
AX3YZ=P3,143,_T__=0,0,.5|0,x1,.5|0,0,.5+x1*1.2|0,0,.5-x1*1.1
AX2Y2Z=P2(unique axis c),3,_TT_=0,0,.5|x1*x3/2,0,.5-x1/2|0,x1*1.1,.5|0,0,.5+x1*1.2

[octahedral]
AX6=P23,195,__=0,0,0|0,x1,0
AX4Y2=P4/m,83,___=0,0,0|0,x1,0|0,0,x1*1.1
AX4YZ=P4,75,_T__=0,0,0|0,x1,0|0,0,x1*0.9|0,0,-x1*1.1
AX3Y3=P3,143,_TT=0,0,0|0,0.0817/2*1.1,0.0577/2*1.1|0,-0.0817/2,-0.0577/2
AX2Y2Z2=Pmmm,47,____=0,0,0|0,x1,0|x1*1.1,0,0|0,0,x1*0.9


; PART 2: crystallographic coord

; Entries are:
; <International Table number>,<no. general positions>,<"explicit" Space Group Symbol>
;   expicit symbols are described below in each section
;   but basically define unambiguously the exact location 
;   of the symmetry elements involved in the space group 
;   2 implies 2000, 21 implies 2100, 211 implies 2110

; Triclinic
;   <Lattice symbol><Ci>
;   only two possibilities: P1, P-1

; Monoclinic
;   <Lattice symbol>1 <Cy/py> <Cz/pz>
;   where Cy=2ixz Cz=2ixy means 2(i) at x/8,y/8,z/8
;   and px,py,pz={m,a,b,c,n}i means m at i/8 of way from origin
;   example: P21/b(unique axis c) would be P1 1 2102/b2

; Orthorhombic
;   <Lattice symbol><Cx/px> <Cy/py> <Cz/pz>
;   where Cx=2iyz Cy=2ixz Cz=2ixy means 2(i) at x/8,y/8,z/8
;   and px,py,pz={m,a,b,c,d,n}i means m at i/8 of way from origin
;   example: P21/b(unique axis c), with 2(0,0,.5) 0,.5,z and b-plane offset 0.5
;   is P1 1 2102/b2

; Tetragonal
;   <Lattice symbol><Cz/p> <Cy/py> <Cxy/pxy>
;   where Cz=nixy or -nzxy, Cy=nixz, Cxy=niyz means n(i) at x/8,y/8,z/8
;   and px,py,pz={m,a,b,c,d,n}i means m at i/8 of way from origin
;   and pxy={m,a,b,c,d,n}i bisecting plane i/8 from corner
;   note that Cx will be derived from Cy by the C4 or C-4 rotation

; Trigonal
;  <Lattice symbol><Cz/p> <Cy/p> <Cx/p>
;  where Cz=3n or -3z, where z is the z-offset for 
;  the inversion center in 1/12 units
;  and Cy=nixz is rotation about y 
;  and Cx=niyz is rotation about cartesian x (not xtal x)
;  and p is a plane perpendicular to the axis
;  the origin.

; Hexagonal
;  P<Cz/p> <Cy/p> <Cx/p>
;  where Cz=6 or -6z, where z is the z-offset for 
;  the inversion center in 1/12 units
;  and Cy=nixz is rotation about y 
;  and Cx=niyz is rotation about cartesian x (not xtal x)
;  and p is a plane perpendicular to the axis
;  the origin.

; Cubic
;   <Lattice symbol><C4/p><C3xyz><Cxy/pxy>
;   where C4=4ixy or -4zxy, C3xyz=3ixy or -3zxy, Cxy=niyz means n(i) at x/8,y/8,z/8
;   and px,py,pz={m,a,b,c,d,n}i means m at i/8 of way from origin
;   and Cxy=niyz means n(i) at y/8 z/8
;   and pxy={m,a,b,c,d,n}i bisecting plane
;   note that Cy and Cz will be derived from C4 by the C3 or C-3 rotation


[Triclinic]
P1=1,1,P1
P-1=2,2,P-1

[Monoclinic]
P2(unique axis c)=3,2,P1 1 2
P2(unique axis b)=3,2,P1 2 1
P21(unique axis c)=4,2,P1 1 21
P21(unique axis b)=4,2,P1 21 1
B2(unique axis c)=5,4,B1 1 2
C2(unique axis c)a=5,4,A1 1 2
C2(unique axis c)b=5,4,B1 1 2
C2(unique axis c)i=5,4,I1 1 2 
C2(unique axis b)c=5,4,C1 2 1
C2(unique axis b)a=5,4,A1 2 1
C2(unique axis b)i=5,4,I1 2 1
C2(unique axis b)=5,4,C1 2 1
C2(unique axis b)=5,4,C1 2 1
Pm(unique axis c)=6,2,P1 1 m
Pm(unique axis b)=6,2,P1 m 1
Pb(unique axis c)=7,2,P1 1 b
Pc(unique axis c)a=7,2,P1 1 a
Pc(unique axis c)n=7,2,P1 1 n
Pc(unique axis c)b=7,2,P1 1 b
Pc(unique axis b)c=7,2,P1 c 1
Pc(unique axis b)n=7,2,P1 n 1
Pc(unique axis b)a=7,2,P1 a 1
Bm(unique axis c)=8,4,B1 1 m
Cm(unique axis c)a=8,4,A1 1 m
Cm(unique axis c)b=8,4,B1 1 m
Cm(unique axis c)i=8,4,I1 1 m
Cm(unique axis b)c=8,4,C1 m 1
Cm(unique axis b)a=8,4,A1 m 1
Cm(unique axis b)i=8,4,I1 m 1
Bb(unique axis c)=9,4,B1 1 b
Cc(unique axis c)a=9,4,A1 1 a
Cc(unique axis c)n=9,4,B1 1 n
Cc(unique axis c)b=9,4,I1 1 b
Cc(unique axis b)c=9,4,C1 c 1
Cc(unique axis b)n=9,4,A1 n 1
Cc(unique axis b)a=9,4,I1 a 1
P2/m(unique axis c)=10,4,P1 1 2/m
P2/m(unique axis b)=10,4,P1 2/m 1
P21/m(unique axis c)=11,4,P1 1 2/m2
P21/m(unique axis b)=11,4,P1 2/m2 1
B2/m(unique axis c)=12,8,B1 1 2/m
C2/m(unique axis c)a=12,8,A1 1 2/m 
C2/m(unique axis c)b=12,8,B1 1 2/m 
C2/m(unique axis c)i=12,8,I1 1 2/m 
C2/m(unique axis b)c=12,8,C1 2/m 1
C2/m(unique axis b)a=12,8,A1 2/m 1
C2/m(unique axis b)i=12,8,I1 2/m 1
P2/b(unique axis c)=13,4,P1 1 2002/b
P2/c(unique axis c)a=13,4,P1 1 2002/a
P2/c(unique axis c)n=13,4,P1 1 2022/n
P2/c(unique axis c)b=13,4,P1 1 2002/b
P2/c(unique axis b)c=13,4,P1 2002/c 1
P2/c(unique axis b)n=13,4,P1 2022/n 1
P2/c(unique axis b)a=13,4,P1 2020/a 1
P21/b(unique axis c)=14,4,P1 1 2102/b2
P21/c(unique axis c)a=14,4,P1 1 2120/a2
P21/c(unique axis c)n=14,4,P1 1 2122/n2
P21/c(unique axis c)b=14,4,P1 1 2102/b2
P21/c(unique axis b)c=14,4,P1 2102/c2 1
P21/c(unique axis b)n=14,4,P1 2122/n2 1
P21/c(unique axis b)a=14,4,P1 2120/a2 1
B2/b(unique axis c)=15,8,B1 1 2002/b
C2/c(unique axis c)a=15,8,A1 1 2020/a 
C2/c(unique axis c)n=15,8,B1 1 2022/n 
C2/c(unique axis c)b=15,8,I1 1 2002/b 
C2/c(unique axis b)c=15,8,C1 2002/c 1
C2/c(unique axis b)n=15,8,A1 2022/n 1
C2/c(unique axis b)a=15,8,I1 2020/a 1

[Orthorhombic]
P222=16,4,P2 2 2
P2221=17,4,P2 2002 21
P21212=18,4,P2120 2120 2
P212121=19,4,P2120 2102 2120
C2221=20,8,C2 2002 21
C222=21,8,C2 2 2
F222=22,16,F2 2 2
I222=23,8,I2 2 2
I212121=24,8,I2120 2102 2120

Pmm2=25,4,Pm m 2
Pmc21=26,4,Pm c 21
Pcc2=27,4,Pc c 2
Pma2=28,4,Pm2 a 2
Pca21=29,4,Pc2 a 21
Pnc2=30,4,Pn c2 2
Pmn21=31,4,Pm n 2120
Pba2=32,4,Pb2 a2 2
Pna21=33,4,Pn2 a2 21
Pnn2=34,4,Pn2 n2 2
Cmm2=35,8,Cm m 2
Cmc21=36,8,Cm c 21
Ccc2=37,8,Cc c 2
Amm2=38,8,Am m 2
Abm2=39,8,Ab m2 2
Ama2=40,8,Am2 a 2
Aba2=41,8,Ab2 a2 2

Fmm2=42,16,Fm m 2
Fdd2=43,16,Fd1 d1 2
Imm2=44,8,Im m 2
Iba2=45,8,Ib2 a2 2
Ima2=46,8,Im2 a 2

Pmmm=47,8,P2/m 2/m 2/m
Pnnn(origin at CxCyCz)=48,8,P2/n2 2/n2 2/n2
Pnnn(origin at i)=48,8,P2022/n 2022/n 2022/n
Pccm=49,8,P2002/c 2002/c 2/m
Pban(origin at CxCyCz)=50,8,P2/b2 2/a2 2/n
Pban(origin at i)=50,8,P2020/b 2020/a 2022/n
Pmma=51,8,P21/m2 2/m 2020/a
Pnna=52,8,P2022/n 2122/n2 2020/a
Pmna=53,8,P2/m 2022/n 2120/a2
Pcca=54,8,P2102/c2 2002/c 2020/a
Pbam=55,8,P2120/b2 2120/a2 2/m
Pccn=56,8,P2102/c2 2102/c2 2022/n
Pbcm=57,8,P2020/b 2102/c2 21/m2
Pnnm=58,8,P2122/n2 2122/n2 2/m
Pmmn(origin at Cz/n)=59,8,P2120/m 2120/m 2/n
Pmmn(origin at i)=59,8,P21/m2 21/m2 2022/n
Pbcn=60,8,P2120/b2 2002/c 2122/n2
Pbca=61,8,P2120/b2 2102/c2 2120/a2
Pnma=62,8,P2122/n2 21/m2 2120/a2
Cmcm=63,16,C2/m 2002/c 21/m2
Cmca=64,16,C2/m 2022/c2 2120/a2
Cmmm=65,16,C2/m 2/m 2/m
Cccm=66,16,C2002/c 2002/c 2/m
Cmma=67,16,C2/m 2020/m2 2020/a
Ccca(origin at CxCyCz)=68,16,C2/c2 2/c2 2/a2
Ccca(origin at i)=68,16,C2022/c2 2002/c 2020/a

Fmmm=69,32,F2/m 2/m 2/m
Fddd(origin at CzCyCz)=70,32,F2/d1 2/d1 2/d1
Fddd(origin at i)=70,32,F2011/d 2011/d 2011/d
Immm=71,16,I2/m 2/m 2/m
Ibam=72,16,I2002/b2 2002/a2 2/m
Ibca(old)=73,16,I2002/b2 2020/c2 2002/a2
Ibca(new)=73,16,I2120/b2 2102/c2 2120/a2
Imma(old)=74,16,I2/m 2022/m2 2002/a2
Imma(new)=74,16,I2122/m 21/m2 2120/a2

[Tetragonal]
P4=75,4,P4
P41=76,4,P41
P42=77,4,P42
I4=79,8,I4 
I41=80,8,I4162 
P-4=81,4,P-4  
I-4=82,8,I-4 
P4/m=83,8,P4/m 
P42/m=84,8,P42/m 
P4/n(origin at 4 bar)=85,8,P4004/n  
P4/n(origin at i)=85,8,P4022/n  
P42/n(origin at 4 bar)=86,8,P4204/n2 
P42/n(origin at i)=86,8,P4262/n
I4/m=87,16,I4/m 
I41/a(origin at 4 bar)=88,16,I4162/a3 
I41/a(origin at i)=88,16,I4124/a2 

P422=89,8,P4 2 2 
P4212=90,8,P4040 2120 2
P4122=91,8,P41 2 2003
P41212=92,8,P4140 2121 2
P4222=93,8,P42 2 2002
P42212=94,8,P4240 2122 2
P4322=95,8,P43 2 2001
P43212=96,8,P4340 2123 2
I422=97,16,I4 2 2 
I4122=98,16,I4162 2023 2

P4mm=99,8,P4 m m
P4bm=100,8,P4 a2 m2
P42cm=101,8,P42 c m
P42nm=102,8,P4240 n2 m
P4cc=103,8,P4 c c 
P4nc=104,8,P4 n2 c2
P42mc=105,8,P42 m c
P42bc=106,8,P42 a2 c2
I4mm=107,16,I4 m m
I4cm=108,16,I4 c m2
I41md=109,16,I4162 m d1
I41cd=110,16,I4162 c d3  

P-42m=111,8,P-4 2 m
P-42c=112,8,P-4 2002 c
P-421m=113,8,P-4 2120 m2 
P-421c=114,8,P-4 2122 c2
P-4m2=115,8,P-4 m 2
P-4c2=116,8,P-4 c 2002
P-4b2=117,8,P-4 a2 2040
P-4n2=118,8,P-4 n2 2042
I-4m2=119,16,I-4 m 2
I-4c2=120,16,I-4 c 2002
I-42m=121,16,I-4 2 m
I-42d=122,16,I-4 2023 d1

P4/mmm=123,16,P4/m 2/m 2/m 
P4/mcc=124,16,P4/m 2002/c 2002/c
P4/nbm(origin at CxCyCz)=125,16,P4/n 2/a2 2/m2
P4/nbm(origin at i)=125,16,P4022/n 2020/a 2/m
P4/nnc(origin at CxCyCz)=126,16,P4/n2 2/n2 2/c2
P4/nnc(origin at i)=126,16,P4022/n 2022/n 2002/c
P4/mbm=127,16,P4/m 2120/a2 2040/m2
P4/mnc=128,16,P4/m 2122/n2 2042/c2
P4/nmm(origin at C4bar/m2)=129,16,P4040/n 2120/m 2/m2
P4/nmm(origin at i)=129,16,P4022/n 21/m2 2040/m2
P4/ncc(origin on C4bar)=130,16,P4040/n 2122/c 2002/c2
P4/ncc(origin at i)=130,16,P4022/n 2102/c2 2042/c2
P42/mmc=131,16,P42/m 2/m 2002/c
P42/mcm=132,16,P42/m 2002/c 2/m
P42/nbc(origin on 4bar)=133,16,P4240/n2 2002/a2 2040/c
P42/nbc(origin at i)=133,16,P4222/n 2020/a 2002/c
P42/nnm(origin on 4bar)=134,16,P4240/n2 2/n2 2042/m
P42/nnm(origin at i)=134,16,P4222/n 2022/n 2/m
P42/mbc=135,16,P42/m 2120/a2 2042/c2
P42/mnm=136,16,P4240/m 2122/n2 2/m
P42/nmc(origin on 4bar)=137,16,P4240/n2 2122/m 2/c2
P42/nmc(origin at i)=137,16,P4222/n 21/m2 2042/c2
P42/ncm(origin on 4bar)=138,16,P4240/n2 2120/c 2002/m2
P42/ncm(origin on i)=138,16,P4222/n 2102/c2 2040/m2
I4/mmm=139,32,I4/m 2/m 2/m 
I4/mcm=140,32,I4/m 2002/c 2002/m2 
I41/amd(origin on 4bar)=141,32,I4162/a3 2023/m 2/d1 
I41/amd(origin at i)=141,32,I4120/a2 2022/m2 2023/d2 
I41/acd(origin on 4bar)=142,32,I4162/a3 2021/c 2002/d3
I41/acd(origin on i)=142,32,I4120/a2 2020/c2 2021/d

[Trigonal]
P3=143,3,P3
P31=144,3,P31
P32=145,3,P32
R3=146,9,R3
P-3=147,6,P-3
R-3=148,18,R-3
P312=149,6,P3 1 2
P321=150,6,P3 2 1
P3112=151,6,P31 1 2
P3121=152,6,P31 2002 1
P3212=153,6,P32 1 2
P3221=154,6,P32 2004 1
R32=155,18,R3 2
P3m1=156,6, P3 m 1
P31m=157,6,P3 1 m
P3c1=158,6,P3 c 1
P31c=159,6,P3 1 c
R3m=160,18,R3 m
R3c=161,18,R3 c
P-31m=162,12,P-3 1 2/m
P-31c=163,12,P-3 1 2003/c
P-3m1=164,12,P-3 2/m 1
P-3c1=165,12,P-3 2003/c 1
R-3m=166,36,R-3 2/m
R-3c=167,36,R-3 2003/c

[Hexagonal]
P6=168,6,P6
P61=169,6,P61
P65=170,6,P65
P62=171,6,P62
P64=172,6,P64
P63=173,6,P63
P-6=174,6,P-6
P6/m=175,12,P6/m
P63/m=176,12,P63/m3
P622=177,12,P6 2 2
P6122=178,12,P61 2004 2001
P6522=179,12,P65 2002 2005
P6222=180,12,P62 2002 2002
P6422=181,12,P64 2004 2004
P6322=182,12,P63 2 2003
P6mm=183,12,P6 m m
P6cc=184,12,P6 c c
P63cm=185,12,P63 c m
P63mc=186,12,P63 m c
P-6m2=187,12,P-6 m 2
P-6c2=188,12,P-63 c 2
P-62m=189,12,P-6 2 m
P-62c=190,12,P-63 2 c
P6/mmm=191,24,P6/m 2/m 2/m
P6/mcc=192,24,P 6/m 2003/c 2003/c
P63/mcm=193,24,P63/m3 2003/c 2/m
P63/mmc=194,24,P63/m3 2/m 2003/c

[Cubic]
P23=195,12,P 2 3
F23=196,48,F 2 3
I23=197,24,I 2 3
P213=198,12,P 2120 3
I213=199,24,I 2120 3
Pm-3=200,24,P 2/m -3
Pn-3(origin at CxCyCz)=201,24,P 2/n2 3
Pn-3(origin at i)=201,24,P 2022/n -3
Fm-3=202,96,F 2/m -3
Fd-3(origin at CxCyCz)=203,96,F 2/d1 -3111
Fd-3(origin at i)=203,96,F 2011/d -3
Im-3=204,48,I 2/m -3
Pa-3=205,24,P 2120/a2 -3
Ia-3=206,48,I 2120/a2 -3
P432=207,24,P 4 3 2
P4232=208,24,P 4240 3 2042
F432=209,96, F 4 3 2
F4132=210,96,F 4102 3 2023
I432=211,48,I 4 3 2
P4332=212,24,P 4324 3 2063
P4132=213,24,P 4120 3 2021
I4132=214,48,I 4120 3 2021
P-43m=215,24,P -4 3 m
F-43m=216,96,F -4 3 m
I-43m=217,48,I -4 3 m
P-43n=218,24,P -4240 3 n
F-43c=219,96,F -42 3 c
I-43d=220,48,I -4302 3 d
Pm-3m=221,48,P 4/m -3 2/m
Pn-3n(origin at CxCyCz)=222,48,P 4/n2 -3222 2/n
Pn-3n(origin at i)=222,48,P 4022/n -3 2002/n2
Pm-3n=223,48,P4240/m -3 2042/n
Pn-3m(origin at CxCyCz)=224,48,P4240/n2 -3222 2042/m
Pn-3m(origin at i)=224,48,P4262/n -3 2040/m2
Fm-3m=225,192,F4/m -3 2/m
Fm-3c=226,192,F4022/m -3 2002/c
Fd-3m(origin at CxCyCz)=227,192,F 4102/d1 -3111 2023/m
Fd-3m(origin at i)=227,192,F 4131/d -3 2022/m1
Fd-3c(origin at CxCyCz)=228,192,F 4102/d3 -3333 2023/c
Fd-3c(origin at i)=228,192,F 4113/d -3 2020/c1
Im-3m=229,96,I 4/m -3 2/m
Ia-3d=230,96,I 4120/a2 -3 2021/d