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Frequencies  of fragment sizes  produced by a uniform random fragmentation process have demonstrated to fall along Weibull distributions , if the fragmentation thermodynamics depends on the molecule size:

Scale parameter  represents the intensity of fragmentation (i.e., breaks per unit length), and—as a determinant of the mean expected fragment size—is assumed to be constant across molecules of different lengths for fragmentation protocols where the number of produced fragments depends on the molecule length. Shape parameter  reflects the geometric relation in which random fragmentation is breaking a molecule (e.g.,  corresponds to uniform fragmentation on the linear chain of nucleotides,  splits uniformly the surface, and  the volume, etc.).

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