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physics_chemistry:point_groups [2022/10/31 15:38] – Maurits W. Haverkort | physics_chemistry:point_groups [2022/11/02 15:04] – Maurits W. Haverkort | ||
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===== A flow diagram to determine the point group ===== | ===== A flow diagram to determine the point group ===== | ||
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+ | < | ||
+ | | | | | | | | | | AAA | | | | | | |AAA=A point in space | ||
+ | | | | | | | | | | |!| | | | | | | | | ||
+ | | | | |,|-|-|-|-| BBB |-|-|-|-|.| | | |BBB=Linear ($C_{\infty}$)? | ||
+ | | | | YES | | | | | | | | | | NON | | |NON{border-color:# | ||
+ | | | | |!| | | | | | | | | | | |!| | | | | ||
+ | | |,| CCC |.| | | |,|-|-|-|-| DDD |-|-|-|-|-|.| |CCC=Inversion ($i$)? | ||
+ | | YES | | NON | | YES | | | | | | | | | | | NON |NON{border-color:# | ||
+ | | |!| | | |!| | | |!| | | | | | | | | | | | |!| | | ||
+ | | Dih | | Civ |,| CCC |.| | | | | |,|-|-|-| GGG |-|-|-|.| |Dih=$D_{\infty h}$|Civ=$C_{\infty v}$|CCC=Inversion ($i$)? | ||
+ | | | | | | | | YES | | NON | | | | YES | | | | | | | | NON |NON{border-color:# | ||
+ | | | | | | | | |!| | | |!| | | | | |!| | | | | | | | | |!| | | ||
+ | | | | | | |,| EEE |.| Tds |,|-|-| FFF |-|-|.| | | |,| HHH |.| |EEE=$C_5$? | ||
+ | | | | | | YES | | NON | | YES | | | | | | NON | | YES | | NON |NON{border-color:# | ||
+ | | | | | | |!| | | |!| | | |!| | | | | | | |!| | | |!| | | |!| | | ||
+ | | | | | | Ihs | | Ohs |,| HHH |.| | | |,| HHH |.| Css |,| CCC |.| |Ihs=$I_h$|Ohs=$O_h$|HHH=$\sigma_h$? | ||
+ | | | | | | | | | | | | YES | | NON | | YES | | NON | | YES | | NON |NON{border-color:# | ||
+ | | | | | | | | | | | | |!| | | |!| | | |!| | | |!| | | |!| | | |!| | | ||
+ | | | | | | | | | | | | Dnh |,| III |.| Cnh |,| CCC |.| Cis | | C1s |Dnh=$D_{nh}$|III=$n\, | ||
+ | | | | | | | | | | | | | | YES | | NON | | YES | | NON |NON{border-color:# | ||
+ | | | | | | | | | | | | | | |!| | | |!| | | |!| | | |!| | | ||
+ | | | | | | | | | | | | | | Dnd | | Dns | | Cnv |,| JJJ |.|Dnd=$D_{nd}$|Dns=$D_n$|Cnv=$C_{nv}$|JJJ=$S_{2n}$? | ||
+ | | | | | | | | | | | | | | | | | | | | | | | | YES | | NON |NON{border-color:# | ||
+ | | | | | | | | | | | | | | | | | | | | | | | | |!| | | |!| | | ||
+ | | | | | | | | | | | | | | | | | | | | | | | | S2n | | Cns |S2n=$S_{2n}$|Cns=$C_{n}$ | ||
+ | </ | ||
< | < | ||
+ | |||
graph TD; | graph TD; | ||
+ | |||
A[A point in space] %%-->%% B[" | A[A point in space] %%-->%% B[" | ||
B %%-->%% |yes|C[i?]; | B %%-->%% |yes|C[i?]; | ||
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click Dinfh " | click Dinfh " | ||
click Cinfv " | click Cinfv " | ||
+ | |||
</ | </ | ||