Molecular Symmetry and Group Theory |
In the staggered conformation (see table below), the ethane molecule has an S_{6} rotation axis. |
Click for larger image | |
Using the images in the table, click on the H atom in the product which should be coloured red given the operations performed (Note — rotations are clockwise) about the S_{6} axis in C_{2}H_{6}. | ||
(You may find this easier to visualize using Newman projections. Remember, all the H atoms are identical - one has been coloured red merely for convenience!) |
Operations | Clickable Image | Corresponding Answer |
---|---|---|
S_{6} | ||
S_{6}^{2} | ||
S_{6}^{3} | ||
S_{6}^{4} | ||
S_{6}^{5} | ||
S_{6}^{6} |
Fill in the table below for those S_{6} 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_{6}.
In general, if n is even and n/2 is odd, then S_{n}^{n/2} ≡ i.
Previous (Exercise 1) | Return to top of page | Next (Exercise 3) |