Molecular Symmetry and Group Theory |
Let's now consider S_{n} where n is odd. For the BF_{3} molecule, for instance, we might think that S_{3} ≡ C_{3}, but this only appears to be the case because the molecule is planar. In fact, S_{3} and C_{3} are not equivalent and need to be specified separately. |
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In the eclipsed conformation, ethane has an S_{3} axis. Using the images in the table below, click on the H atom in the product which should be coloured red for each operation performed about the S_{3} axis in C_{2}H_{6}. |
Operations | Clickable Image | Corresponding Answer |
---|---|---|
S_{3} | ||
S_{3}^{2} | ||
S_{3}^{3} |
Note that the S_{3} operation is equivalent to neither C_{3} nor σ.
Using the S_{3} operations, we must rotate the ethane molecule through a total of 720° before it ends up where it started.
Using the images in the table below, click on the H atom in the product which should be coloured red for each further operation performed about the S_{3} axis in C_{2}H_{6}.
Operations | Clickable Image | Corresponding Answer |
---|---|---|
S_{3}^{4} | ||
S_{3}^{5} | ||
S_{3}^{6} |
Fill in the table below for those S_{3} operations you think have equivalent symmetry operations generated by other symmetry elements of ethane. Hence, check all the independent symmetry operations we should assign to S_{3}.
(Note — There maybe more than one equivalent symmetry operation for a given S_{3} operation, if so enter the operations in alphabetical order separated by a comma i.e. a,b )
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