Multiplet Patterns due to Isotopomers

For example, in a radical with six equivalent carbon atoms (e.g., benzene anion radical), the probabilities are P0 = 0.936, Pi = 0.062, P2 = 0.0017, P3 = 0.00003, etc. In practice, we would probably see only the central line with intensity 0.936 and a pair of satellites with intensity 0.031, corresponding to splitting of the center line by a single 13C (the intensity is distributed between the two resonances). 

More complex patterns can arise from atoms with a higher fraction of magnetic isotopes. Consider the case of a radical species with three equivalent 

Numbers on the left refer to the number of 195Pt atoms in the radical. The intensity labels indicate the normalized probabilities of the corresponding lines which are derived from the isotope probabilities. 

The relative intensities of the seven-line pattern then is expected to be approximately 1 12 49 84 49 12 1. With luck, all seven lines might be observable. Patterns like this are more complicated to analyze, but they also provide a fingerprint, identifying the number of equivalent nuclei involved in 

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