558 



Ab- 

 leitungs- 

 form 



Syra- 



metrie- 



art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Explicite 

 Symmetrie 



Verbandsymmetrie 



Symbol 

 des Systems 



b b 

 b b 



rt 



b_b^ 

 b'b 

 abb 

 abb 

 abb 

 a a' a' 

 a' a a 

 a a a 

 a' a' a' 



-.bb 

 a 



b'b 

 a a a' 

 a' a' a 

 abb 

 abb 

 abb 

 abb 

 abb 

 abb 

 a a' a' 

 a' a a 

 b_b^ 

 b' b 

 a a a 

 rt' a' a 

 a 



;1 1 



'-,bb 

 i 



i 

 - 1 c 



4 



15 



4 



16 



4 



17 



4 



4 

 4 



1 

 2 

 3 



4 



4 



4 



5 



4 



6 



4 



7 



4 



8 



4 

 4 

 4 

 4 

 4 

 4 



9 

 10 

 11 

 12 

 13 

 14 



4 



15 



4 



16 



4 



17 



4 



18 



4 



19 



4 



20 



3;^ VI' 



3/ VII 



szvir 





i) 4 



« = 8' 







b' 5' 



b 8' 







c = 4 



b' 5' 





b 4 







rt = 8' 



V 5' 





a = 5' 



&=1' 



rt = 5' 



ö = 5 



a = 5 



?y= 1' 



« 5' 





«' ~ 1' 





« 5' 





ft'~l' 





a 5' 







6—1' 



a' 5 





b 5' 









6' 5 





rt 5 





rt'~5' 





rt = 5' 



6 = 4 



rt ^ 5' 



6 = 8' 



rt = 4 



6 = 5' 



rt = 4 



6 = 8' 



rt = 8' 



6 = 5' 



rt = 8' 



6 = 4 



ft 5' 





rt' 8' 





b 5' 





ö''"8' 





rt 5' 









rt' 8' 





« 4 





o' 5' 





a 4 







6 = 8' 



a' 5' 





rt 5' 







c = 4 



rt' 8' 





i(z2)(ivr)^5, 



3xl(lVI'f5-8' 



3 ;t 1(1 VI'), 5, 



2z 1(1 VII)« 



1(;^2)(1VII)'= 

 l(;t2)(lVII)»' 



1(X2)(1VII)I.5, 



3zi(ivn)i,5, 



3;tl(lVII')^5< 



3;cl(lVII)-^5, 



1 ix 2) (1 VII)5 5, 



\(x2)(\Yll'Y 

 2;^I(1 Vir)<^ 

 l(';f2)(lVir)«' 



2x 1 (1 vir)<^' 



1(X2)(1VII')«" 

 1U2)(IVII')'''" 



3;.1(1VI1')^,8- 

 SzKlVin^'-g, 

 SzKlVIDä.g. 



l(;.2)(lVII'f4 5, 



2xl(lVIl')^5' 

 l(;t2){lVir)^,8- 



III. Rhombische Syngonie. 



ab c' 



6 



4 



1 i 



ab c 



6 



4 



2 



ab c 



6 



4 



3 



bb_ 

 'b'b' 



6 



4 



4 



b V 

 ""b'b 



6 



4 



5 



a a' 

 a'a' 



6 



4 



6 



'6' 6' 



6 



4 



7 



1 



^6' 6 



6 



4 



8 



7 VI 



6 VI 



rt ^ 5 

 rt = 5 

 a = 2' 

 6 2' 



6' ^6' 



6 = 6' 

 6 = 2' 

 6 = 5 



c = 

 c = 

 c = 



2' 

 6' 

 6' 



4(1 VI,) 

 (2)(1VI,) 

 (14)(1 Vi,) 









(4) (1 \h)l'(,' 



rt = 5 



6 2' 

 6'~'6' 







6 (1 Vl7)2-6- 



rt 5 

 a' ^ 6' 



c = 2' 



6 4' 

 6' 8' 

 6 5 

 6'~8' 







6(1VI,)5 6. 

 (14)(lVl6)4-8 



(14)(lVl6)?8 



