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physics_chemistry:point_groups:d3d:orientation_z_x-y_b [2018/09/06 14:00]
Maurits W. Haverkort created
physics_chemistry:point_groups:d3d:orientation_z_x-y_b [2018/09/06 14:02] (current)
Maurits W. Haverkort
Line 507: Line 507:
  ​\frac{1}{5} (\text{Ea1g}+2 (\text{Eeg}\pi +\text{Eeg}\sigma )) & k=0\land m=0 \\  ​\frac{1}{5} (\text{Ea1g}+2 (\text{Eeg}\pi +\text{Eeg}\sigma )) & k=0\land m=0 \\
  ​\text{Ea1g}-\text{Eeg}\pi -2 \sqrt{2} \text{Meg} & k=2\land m=0 \\  ​\text{Ea1g}-\text{Eeg}\pi -2 \sqrt{2} \text{Meg} & k=2\land m=0 \\
- ​\left(-\frac{1}{2}+\frac{i}{2}\right) \sqrt{\frac{7}{5}} \left(2 \text{Eeg\pi ​}-2 \text{Eeg\sigma ​}-\sqrt{2} \text{Meg}\right) & k=4\land m=-3 \\ + ​\left(-\frac{1}{2}+\frac{i}{2}\right) \sqrt{\frac{7}{5}} \left(2 \text{Eeg}\pi -2 \text{Eeg}\sigma -\sqrt{2} \text{Meg}\right) & k=4\land m=-3 \\ 
- ​\frac{1}{5} \left(9 \text{Ea1g}-2 \text{Eeg}\pi -7 \text{Eeg\sigma ​}+10 \sqrt{2} \text{Meg}\right) & k=4\land m=0 \\ + ​\frac{1}{5} \left(9 \text{Ea1g}-2 \text{Eeg}\pi -7 \text{Eeg}\sigma +10 \sqrt{2} \text{Meg}\right) & k=4\land m=0 \\ 
- ​\left(\frac{1}{2}+\frac{i}{2}\right) \sqrt{\frac{7}{5}} \left(2 \text{Eeg\pi ​}-2 \text{Eeg\sigma ​}-\sqrt{2} \text{Meg}\right) & k=4\land m=3+ ​\left(\frac{1}{2}+\frac{i}{2}\right) \sqrt{\frac{7}{5}} \left(2 \text{Eeg}\pi -2 \text{Eeg}\sigma -\sqrt{2} \text{Meg}\right) & k=4\land m=3
 \end{cases}$$ \end{cases}$$
  
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