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physics_chemistry:point_groups [2022/10/31 15:38] – Maurits W. Haverkortphysics_chemistry:point_groups [2022/11/02 15:11] (current) – Maurits W. Haverkort
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 ===== A flow diagram to determine the point group ===== ===== A flow diagram to determine the point group =====
 +
 +<diagram>
 +| | | | | | | | | AAA | | | | | | |AAA=A point in space
 +| | | | | | | | | |!| | | | | | | |
 +| | | |,|-|-|-|-| BBB |-|-|-|-|.| | | |BBB=Linear (C∞)?
 +| | | YES | | | | | | | | | | NON | | |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | |!| | | | | | | | | | | |!| | | |
 +| |,| CCC |.| | | |,|-|-|-|-| DDD |-|-|-|-|-|.| |CCC=Inversion (i)?|DDD=Two or more Cn \\ with n>2?
 +| YES | | NON | | YES | | | | | | | | | | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| |!| | | |!| | | |!| | | | | | | | | | | | |!| |
 +| Dih | | Civ |,| CCC |.| | | | | |,|-|-|-| GGG |-|-|-|.| |Dih{border-color:800;background-color:#faa}=D∞h|Civ{border-color:800;background-color:#faa}=C∞v|CCC=Inversion (i)?|GGG=Cn?
 +| | | | | | | YES | | NON | | | | YES | | | | | | | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | | | | | |!| | | |!| | | | | |!| | | | | | | | | |!| |
 +| | | | | |,| EEE |.| Tds |,|-|-| FFF |-|-|.| | | |,| HHH |.| |EEE=C5?|Tds{border-color:800;background-color:#faa}=Td|FFF=nC2⊥Cn?|HHH=σh?
 +| | | | | YES | | NON | | YES | | | | | | NON | | YES | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | | | |!| | | |!| | | |!| | | | | | | |!| | | |!| | | |!| |
 +| | | | | Ihs | | Ohs |,| HHH |.| | | |,| HHH |.| Css |,| CCC |.| |Ihs{border-color:800;background-color:#faa}=Ih|Ohs{border-color:800;background-color:#faa}=Oh|HHH=σh?|Css{border-color:800;background-color:#faa}=Cs|CCC=Inversion (i)?
 +| | | | | | | | | | | YES | | NON | | YES | | NON | | YES | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | | | | | | | | | |!| | | |!| | | |!| | | |!| | | |!| | | |!| |
 +| | | | | | | | | | | Dnh |,| III |.| Cnh |,| CCC |.| Cis | | C1s |Dnh{border-color:800;background-color:#faa}=Dnh|III=nσv?|Cnh{border-color:800;background-color:#faa}=Cnh|CCC=nσv?|Cis{border-color:800;background-color:#faa}=Ci|C1s{border-color:800;background-color:#faa}=C1
 +| | | | | | | | | | | | | YES | | NON | | YES | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | | | | | | | | | | | |!| | | |!| | | |!| | | |!| |
 +| | | | | | | | | | | | | Dnd | | Dns | | Cnv |,| JJJ |.|Dnd{border-color:800;background-color:#faa}=Dnd|Dns{border-color:800;background-color:#faa}=Dn|Cnv{border-color:800;background-color:#faa}=Cnv|JJJ=S2n?
 +| | | | | | | | | | | | | | | | | | | | | | | YES | | NON |NON{border-color:#fff}=No|YES{border-color:#fff}=Yes
 +| | | | | | | | | | | | | | | | | | | | | | | |!| | | |!| |
 +| | | | | | | | | | | | | | | | | | | | | | | S2n | | Cns |S2n{border-color:800;background-color:#faa}=S2n|Cns{border-color:800;background-color:#faa}=Cn
 +</diagram>
  
 <flow> <flow>
 +
 graph TD; graph TD;
 +
     A[A point in space] %%-->%% B["Linear (C<sub>&infin;</sub>) ?"];     A[A point in space] %%-->%% B["Linear (C<sub>&infin;</sub>) ?"];
     B %%-->%% |yes|C[i?];     B %%-->%% |yes|C[i?];
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     click Dinfh "https://www.quanty.org/physics_chemistry/point_groups/dinfh";     click Dinfh "https://www.quanty.org/physics_chemistry/point_groups/dinfh";
     click Cinfv "https://www.quanty.org/physics_chemistry/point_groups/cinfv";     click Cinfv "https://www.quanty.org/physics_chemistry/point_groups/cinfv";
 +
 </flow> </flow>
  

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