Tables for group theory

Cover......Page 1
Date-line......Page 2
CONTENTS TABLES......Page 3
2 The Groups $C_n$ ($n$ = 2, 3, $\ldots$, 8)......Page 4
3 The Groups $D_n$ ($n$ = 2, 3, 4, 5, 6)......Page 6
4 The Groups $C_{nv}$ ($n$ = 2, 3, 4, 5, 6)......Page 7
5 The Groups $C_{nh}$ ($n$ = 2, 3, 4, 5, 6)......Page 8
6 The Groups $D_{nh}$ ($n$ = 2, 3, 4, 5, 6)......Page 9
7 The Groups $D_{nd}$ ($n$ = 2, 3, 4, 5, 6)......Page 10
8 The Groups $S_n$ ($n$ = 4, 6, 8)......Page 11
$T_0$, $T_d$, $T_h$......Page 12
$O$, $0_h$......Page 13
11 The Groups $C_{\infty v}$, and $D_{\infty h}$......Page 14
1 General Rules......Page 15
4 $C_4, D_4, C_{4v}, C_{4h}, D_{4h}, D_{2d}, S_4$......Page 16
6 $D_{4d}, S_8$......Page 17
8 $D_{6d}$......Page 18
11 The Full Rotation Group ($SU_2$ and $R_3$)......Page 19
The extended rotation groups (double groups): character tables and direct product tables......Page 20
Further properties of the full rotation group......Page 21
Descent in symmetry and subgroups......Page 23
General formulae......Page 25
Worked examples......Page 27
Examples of bases for some representations......Page 30
I Shapes......Page 33
II Molecules......Page 35