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physics_chemistry:point_groups:d3d:orientation_zx_b [2018/09/06 13:08] – Maurits W. Haverkortphysics_chemistry:point_groups:d3d:orientation_zx_b [2025/11/20 03:30] (current) – external edit 127.0.0.1
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  $$A_{k,m} = \begin{cases}  $$A_{k,m} = \begin{cases}
- \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 $}-2 \sqrt{2} \text{Meg} & k=2\land m=0 \\ + \text{Ea1g}-\text{Eeg}\pi -2 \sqrt{2} \text{Meg} & k=2\land m=0 \\ 
- i \sqrt{\frac{7}{5}} \left(-\sqrt{2} \text{Eeg$\pi $}+\sqrt{2} \text{Eeg$\sigma $}+\text{Meg}\right) & k=4\land (m=-3\lor m=3) \\ + i \sqrt{\frac{7}{5}} \left(-\sqrt{2} \text{Eeg}\pi +\sqrt{2} \text{Eeg}\sigma +\text{Meg}\right) & k=4\land (m=-3\lor m=3) \\ 
- \frac{1}{5} \left(9 \text{Ea1g}-2 \text{Eeg$\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
 \end{cases}$$ \end{cases}$$
  
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 <code Quanty Akm_D3d_Zx_B.Quanty> <code Quanty Akm_D3d_Zx_B.Quanty>
  
-Akm = {{0, 0, (1/5)*(Ea1g + (2)*(Eeg\[Pi] + Eeg\[Sigma]))} ,  +Akm = {{0, 0, (1/5)*(Ea1g + (2)*(EegPi + EegSigma))} ,  
-       {2, 0, Ea1g + (-1)*(Eeg\[Pi]) + (-2)*((sqrt(2))*(Meg))} ,  +       {2, 0, Ea1g + (-1)*(EegPi) + (-2)*((sqrt(2))*(Meg))} ,  
-       {4, 0, (1/5)*((9)*(Ea1g) + (-2)*(Eeg\[Pi]) + (-7)*(Eeg\[Sigma]) + (10)*((sqrt(2))*(Meg)))} ,  +       {4, 0, (1/5)*((9)*(Ea1g) + (-2)*(EegPi) + (-7)*(EegSigma) + (10)*((sqrt(2))*(Meg)))} ,  
-       {4,-3, (I)*((sqrt(7/5))*((-1)*((sqrt(2))*(Eeg\[Pi])) + (sqrt(2))*(Eeg\[Sigma]) + Meg))} ,  +       {4,-3, (I)*((sqrt(7/5))*((-1)*((sqrt(2))*(EegPi)) + (sqrt(2))*(EegSigma) + Meg))} ,  
-       {4, 3, (I)*((sqrt(7/5))*((-1)*((sqrt(2))*(Eeg\[Pi])) + (sqrt(2))*(Eeg\[Sigma]) + Meg))} }+       {4, 3, (I)*((sqrt(7/5))*((-1)*((sqrt(2))*(EegPi)) + (sqrt(2))*(EegSigma) + Meg))} }
  
 </code> </code>

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