The reduction can be achieved using the reduction formula. It is a mathematical way of reducing that will always work when the answer cannot be spotted by eye. It is particularly useful when there are large numbers of bonds involved.
The vibrational modes of the molecule are reduced to produce a reducible representation into the irreducible representations. This method uses the following formula reduction formula:
A calculator is available for this to check answers - for this click here.
The number should come out as zero or as a positive integer:
This may sound very complicated, however as the examples show, it is actually just tedious and time consuming to use.
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