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The Nitrogen Rule states that a molecule containing an odd number of nitrogen atoms will have an odd-numbered molecular ion (M+). Conversely, a molecule with an even number of nitrogen atoms will have an even-numbered molecular ion. This rule is based on the fact that nitrogen has an odd number of valence electrons, so when a nitrogen atom is incorporated into a molecule, it contributes an odd number of electrons to the total electron count.
The Even Electron Rule states that fragments with an even number of electrons are more stable than fragments with an odd number of electrons. This rule is related to the fact that electrons tend to pair up in molecules, so fragments with paired electrons are more stable. In mass spectrometry, this means that fragments with an even number of electrons are more likely to be observed than fragments with an odd number of electrons.
Both rules can be helpful in interpreting mass spectra. For example, the Nitrogen Rule can be used to determine whether or not a molecule contains nitrogen. The Even Electron Rule can be used to identify the likely structures of fragments observed in a mass spectrum.