Department of Chemistry
and Physics
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Department of Chemistry and Physics |
| Worksheets |
Symmetry and Point Groups
2
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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
1. Using the alphabet, answer the following:
a) how many letters have a mirror plane? 26
b) how many letters have more than one mirror plane? 15
c) how many letters have a rotational axis? 17
d) which letter has the highest ordered rotational axis? I
(assuming cylinder) or (O assuming circle)
e) which letters have an inversion center? H,
I, N, O, S, X, Z
2. Determine all of the symmetry elements in each of the following:
| your left shoe | E | eclipsed ethane | E, C3, 3C2,sh, 3sv, S3 |
| Fe(CO)5 | E, C3, 3C2, sh, 3sv, S3 | CHF3 | E, C3, 3sv |
| CF2H2 | E, C2, 2sv | CFH3 | E, C3, 3sv |
| IBr4+ | E, C2, 2sv | COS | E, Cinf, inf sv |
| IBr4- | E, C4, 4C2, sh, 4sv, i, S4 | SO2 | E, C2, 2sv |
| HF | E, Cinf, inf sv | F2 | E, Cinf, inf C2, sh, inf sv, i, Sinf |
| BFCl2 | E, C2, 2sv | BFClBr | E, sh |
| CoCl3(OH2)- | E, C3, 3sv | Cu(CN)3 | E, C3, 3C2, sh, 3sv, S3 |
3. Determine the point group for each of the following:(point
group flow chart)
| SF6 Oh | eclipsed ethane D3h |
| CH4 Td | CHF3 C3v |
| CF2H2 C2v | CFH3 C3v |
| IBr4+ C2v | COS Cinfv |
| IBr4- D4h | SO2 C2v |
| HF Cinfv | F2 Dinfh |
| BFCl2 C2v | BFClBr Cs |
| CoCl3(OH2)- C3v | Cu(CN)3 (planar) D3h |
| Ni(CO)4 Td | Fe(CO)5 D3h |
| your left shoe C1 | a round doorknob Cinfv |