Given the variety of modelling tasks, there is not one common data format that has developed.
For describing the layout of an accelerator and the corresponding elements, one uses a so-called "lattice file".
There have been numerous attempts at unifying the lattice file formats used in different codes. One unification attempt is the Accelerator Markup Language, and the Universal Accelerator Parser. Another attempt at a unified approach to accelerator codes is the UAL or Universal Accelerator Library.

The file formats used in
MAD may be the most common, with translation routines available to convert to an input form needed for a different code. 
Associated with the Elegant code is a data format called SDDS, with an associated suite of tools. If one uses a Matlab-based code, such as Accelerator Toolbox, one has available all the tools within Matlab.

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