By Friedrich L. Boschke
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Example text
7r --1 lr 1 G4(T) (6h, Afi~z,~+15v,v) | [' -1 1 ] 1 1 . . 1 . 1 . zr 1 . 1 a, c, d See caption of Table 13a. 52 The Isometric Group of Nonrigid Molecules Table 13c. Generators of the full isometric group a~ (r) of the SRM D~hF(C2vT) 2 Generatora r(NCf) { ~ } e v{~T) d 1 C . . 1 1 3n/2 1 -rr/2 1 1 (Sh'h6u'ta6dv+ I) | -'1 i] -1 W ( 6 h ' ~ . + l~,tt'/i6t,'V) ~ --I --I T=WCWC 3 (6h'h~ta'#+l%'v) ~ 1 I-1 -1 1] 9 1 1 1 .... 1 1 1 ~'1 ] a, c, d See caption of Table 13a. ) i__sD2 is 02 (D2 denoting the point symmetry group, 02 the abstract group).
1 i . ~ 1 1 /2 1 ,r 1 1 ~/2 . -1 Ii-1-9 ~r . 1 . 9 . 1 . 1 1 9 1 1 1 . ~ 1" 1 . 1 . 1 r( ~ r Representation by permutations generated by the set of distances dt0,fl0(U0, r), dto,f I 1(o0, r), d t l ,fO0(Ol, r), d t i ,fOl(Vl, r) (see Fig. 5a). ul'~ Representation of ~" by substitutions of the internal coordinates: Operator ~ ( r , o0, u 1 ) is ~1, ~ - ( r , o0, Ol) "__m04 , , ~ r , o0, Ol) is WI6 Table 1 la. Isometric group of the D 2 (r) F (C 1TR) (C ITS) system O O z o ~3 8 O ~q H. Frei, A. Bauder, and H.
1 . 1 . zr 1 . 1 a, c, d See caption of Table 13a. 52 The Isometric Group of Nonrigid Molecules Table 13c. Generators of the full isometric group a~ (r) of the SRM D~hF(C2vT) 2 Generatora r(NCf) { ~ } e v{~T) d 1 C . . 1 1 3n/2 1 -rr/2 1 1 (Sh'h6u'ta6dv+ I) | -'1 i] -1 W ( 6 h ' ~ . + l~,tt'/i6t,'V) ~ --I --I T=WCWC 3 (6h'h~ta'#+l%'v) ~ 1 I-1 -1 1] 9 1 1 1 .... 1 1 1 ~'1 ] a, c, d See caption of Table 13a. ) i__sD2 is 02 (D2 denoting the point symmetry group, 02 the abstract group). This representation is listed in Table 13b.