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Fragmentation Pattern

The distinct pattern of smaller ions produced during the fragmentation of a molecule, providing structural information.
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The statement of the theorem

Consider a parent ion M+M^+ with mass mMm_M. Fragmentation is modeled as a decomposition into a set of daughter ions {Fi+}\{F_i^+\} and neutral fragments NjN_j. The mass balance requires that the sum of the masses of the products equals the mass of the parent ion, subject to the conservation of charge:\nM+i=1kFi++j=1lNjM^+ \rightarrow \sum_{i=1}^{k} F_i^+ + \sum_{j=1}^{l} N_j \nMass Conservation: mM=i=1kmFi+j=1lmNj\text{Mass Conservation: } m_M = \sum_{i=1}^{k} m_{F_i} + \sum_{j=1}^{l} m_{N_j}
Source: Wikipedia