539 



Ab- 



Sym- 

 metrie- 

 art 



Sym- 

 metrie- 

 grösse 



Nr. 



Typus 

 I. Ordnung 



Charakteristische Zahlen 



Symbol 

 des Systems 



leitungs- 

 form 



Explicite 

 Symmetrie 



Verbandsymmetrie 



a 



8 



8 



74 



5;^ III 





« 5' ^ 

 a 4 



3(;^4)(lIiy,-5- 



"^ 1 7 



8 



8 



75 







a' 4' 



2(;;5)(1IIW,,5- 





8 



8 



76 







--- b = 5 

 a' 4' 



3 ix 2) (1 IIl6)i-4, 





8 



8 



77 







- = ^ ^ = 8 

 a 4 



2 (;f 2) (1 1115)1.4, 



b b 

 "Vb' 



8 



8 



78 







5 



2 (x 4) (1 1115)4,5 



b b 



8 



8 



79 





l 



r. b 4:' 



« = 8 ^ = ^ 



2 (;t 5) (11115)4,5 



b b 

 V b 



8 



8 



80 









14 (xDd 1115)45' 



b b 

 "Vb- 



8 



8 



81 







« = 8 F = I 



14(^2) (11115)4 5, 



b b 



"VF 



8 



8 



82 







a-r - = - 



6' 4' 



14(;^1)(1III5);,5, 



b b 



8 



8 



83 







, b 5' 

 b 4 



2 (;t 6) (11115)4,5, 



b b 



8 



8 



84 







« = 8 ^ = ^ 



14 (;. 2) (11115)44, 



b b 

 ''b'V 



8 



8 



85 









2 (z 5) (11115)44, 



b b 

 b' b 



8 



8 



86 







. 8 ^ '" 



2 (z 5) (11115)55, 



b b 

 ''b'V 



8 



8 



87 





^ 



Q, b 5' 

 « = S 6^ = 5- 



3 (;K 4) (11115)55' 



b b 

 "FF 



8 



8 



88 







« = i 7:7 = ^ 



5 



2 (;tl) (11115)45 



b b 

 ''FW 



8 



8 



89 







« = 8' -7 = - 

 5 



3 (/ 3) (11115)45 



IV. Tetragonale Syngonie. 



ab c 

 ab c 



^ j, 

 7O c 



bc 



bc 



bc 

 a 



b c 



'F7 



b c 

 b c 



ab c 



ab c 



ab c 



ab c 



10 



8 



1 



10 



8 



2 



10 



8 



3 



10 



8 



4 



10 



8 



5 



10 



8 



6 



10 



8 



7 



10 



8 



8 



12 



8 



1 



12 



8 



2 



12 



8 



3 



12 



8 



4 



89>III 



8z m 



a = 4 

 a = 8 



b = 3 

 6 = 3 



c = 7 

 c = 7 



8 9; 3 (Uli) 

 8 9p 1(1 III) 



_ 7 

 ä'~3 



6 = 2 



c = 6 



17 (9^1) (Uli),. 



a 7 

 a'^S 



6 = 6 



c = 2 



17 {<p 2) (1 III), 



a 3 

 ä'~7 



6 = 2 



c = 6 



17 (9. 1) (1 III); 



a _3 



a' 7 



6 = 6 



c = 2 



17(9'2)(IIII); 





6 3 

 6' 2 



c _7 

 c' ~6 



8 9> 2 (1111)^3 



a = 8 



a=l' 

 a = 5' 

 a=\' 

 a = 5' 



6 3 

 6' ^2 

 6 = 3 

 6 = 3 

 6 = 3' 

 6 = 3' 



c _7 

 C ~6 

 c = 7 

 c = 7 

 c = 7' 

 c = 7' 



9 <p 1 (1 111)2 3 



8 z (Uli) 

 8zl(lIII) 

 6(zl)(lIII)' 

 6(z2)(lIII)' 



69^ 



