Atkins, de Paula & Friedman: Physical Chemistry: Quanta, Matter, and Change 2e

Tables for group theory

Download the complete PDF file containing all of the essential tables (character tables, direct products, descent in symmetry and subgroups) required for those using group theory, together with general formulae, examples, and other relevant information.

Character Tables:

1. The Groups C₁, C_s, C_i

2. The Groups C_n (n = 2, 3, …, 8)

3. The Groups D_n (n = 2, 3, 4, 5, 6)

4. The Groups C_n v (n = 2, 3, 4, 5, 6)

5. The Groups C_n h (n = 2, 3, 4, 5, 6)

6. The Groups D_n h (n = 2, 3, 4, 5, 6)

7. The Groups D_n d (n = 2, 3, 4, 5, 6)

8. The Groups S_n (n = 4, 6, 8)

9. The Cubic Groups: T, T_d, T_h; O, O h

10. The Groups I, I_h

11. The Groups C∞v and D∞h

12. The Full Rotation Group (SU₂ and R₃)

Direct Products:

1. General Rules

2. C₂, C₃, C₆, D₃, D₆, C_2v, C_3v, C_6v, C_2h, C_3h, C_6h, D _3h, D_6h, D_3d, S₆

3. D₂, D_2h

4. C₄, D₄, C_4v, C_4h, D_4h, D_2d, S₄

5. C₅, D₅, C_5v, C_5h, D_5h, D_5d

6. D_4d, S₈

7. T, O, T_h, O_0h, T_d

8. D_6d

9. I, I_h

10. C_∞v, D_∞h

11. The Full Rotation Group (SU₂ and R₃)

The extended rotation groups (double groups) character tables and direct product table

Descent in symmetry and subgroups