533 



Ab- 



Sym- 



metrie- 



art 



Sym- 

 metrie- 

 gi-össe 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



b_b 

 ^b'b' 



8 



8 



82 



5/ III 



14' 



b 5'8 

 b' 5 8' 



S(xi)(Sllh)U' 



b b 



a 



b'b' 



8 



8 



83 





14' 



^ 5'8 



ö' = 58' '^^^^ 



4 (;t 2) (3 1115)5 5- 



abb 

 abb 

 abb 

 b^b_ 

 'b'b' 



8 

 8 

 8 



8 



8 

 8 

 8 



8 



84 

 85 

 86 



87 



" 



1 1' 

 11' 

 1 1' 



1 1' 



a = 55' & = 4 4' 

 a = 4 4' & = 5 5' 

 a = 44' ö = 88' 

 & _44' 

 b' 5 5' 



14 (zD dz 1115) 



3{;^2)(l;fIII,) 

 2te2)(UIIl5) 



2 (zDd;^ 1115)^5 



b b 

 ^b^i? 



8 



8 



88 



JJ 



1 1' 



b 4 4' 

 ^ ««'.'-55' 



3(;^2)(UIIW^5 



abb 

 abb 

 abb 

 abb 

 abb 

 abb 



8 

 8 

 8 

 8 

 8 

 8 



8 

 8 

 8 

 8 

 8 

 8 



89 

 90 

 91 

 92 

 93 

 94 



" 



18 

 18 

 18 

 18 

 18 

 18 



a = 4'5' 6 = 45 

 a = 4'5' b = 1'8' 

 a = 4 5 b = 4'5' 

 a = 4 5 b = 1'8' 

 a = l'B' b = 4'5' 

 a=l'8' & = 45 



3te2)(l;^'IIlB) 



2(/4)(1x'IIIb) 



14(;fl)(l/'IIl6) 



14U1){1;^'IIIb) 



2(;t3)(l/IIlB) 



3tel){lz'IIl5) 



^11 



a 



8 



8 



95 



. " 



18 



a 4 5 

 a' 1'8' 



4U1)(1/III,)^,. 



^66 

 a 



8 



8 



96 



.. 



18 



« ^5' 



— = 77;^ 0=45 



«' 1'8' 



SixDUz'UhU. 



b_b^ 

 b'b' 



8 



8 



97 



)) 



18 



b 4'5' 

 &' ~45 



2{z2){\x'nh)U- 



b b 

 ^b'b' 



8 



" 



98 



T> 



18 



ö 4'5' 

 4 5 



4Ul)(l;^'IIl5)4 4- 



IV. Tetragonale Syngonie. 



9 



4 



1 



9 



4 



2 



9 



4 



3 



9 



4 



4 



9 



4 



5 



9 



4 



6 



10 



8 



1 



10 



8 



2 



10 



8 



3 



10 



8 



4 



10 



8 



5 



10 



8 



6 



10 



8 



7 



10 



8 



8 



10 



8 



9 



10 



8 



10 



11 



4 



1 



11 



4 



2 



12 



8 



1 



12 



8 



2 



12 



8 



3 



12 



8 



4 



12 



8 



5 



12 



8 



6 



12 



8 



7 



8 III 



1 



fe=3 c=7 





8 (1 III)« 



„ 



1 



a=5 6=3 



c=7 



9 (1 III) 



■' 



1 



a 7 



a'~~S 





(15) (1 III)f. 



» 



1 



a _3 

 a'~ 1 





(16) (Uli);' 



jj 



1 



« 7 , , 

 ^=3 '=^ 





(17) (IUI), 



„ 



1 



-. = % ^ = ^ 

 a 7 





(17) (1 IIl)^ 



S^'III 



15 



a = 37 & = 26 





6 (9.3) (3 III) 



j, 



15 



a = 37 & = 48 





6(9>4)(3III) 



^^ 



15 



a = 26 & = 37 





8 9^3(3111) 



,, 



15 



(, = 26 & = 48 





6 (<p 4) (3 III)' 



,, 



15 



a = 48 ö = 37 





89- 1(3 III) 



,, 



15 



a = 48 & = 26 





6 (cp 2) (3 III) 



,, 



18 



ö = 23 c = 67 





QvHx'my 



,, 



18 



5=67 c = 23 





8<?'2(U'III)< 



„ 



18 



a = 45 & = 23 



c = 67 



9 9^(1/' III) 



„ 



18 



a = 45 & = 67 



c = 23 



9<pl(U'III) 



2jrIII 



1 



ö = 3' c = T 





2^(1111)« 





1 



a = 5 & = 3' 



c = r 



3^(1111) 



s/iii 



15' 



a= 1'5 & = 3 7' 



c = 3'7 



9;t(l^ni) 





15 



a = 3 7 b = 1'5' 





6 (z 2) (2 III) 



,, 



15 



a = 3 7 6 = 3'7' 





6 (;f 2) (2 III)' 



., 



15 



a = 1'6' & = 3 7 





8x(2III) 



„ 



15 



a=l'5' & = 3'7' 





6 (/l) (2 III) 





15 



a = 3'7' & = 3 7 





8;^ 1(2 III) 



,, 



15 



a = 3'7' b = 1'5' 





6 (;t 2) (2 III)" 



