In chemistry and crystallography, crystal structures that have the same set of interatomic distances are called homometric structures.
[1] Homometric structures need not be congruent (that is, related by a rigid motion or reflection).
Homometric crystal structures produce identical diffraction patterns; therefore, they cannot be distinguished by a diffraction experiment.
Recently, a Monte Carlo algorithm was proposed to calculate the number of homometric structures corresponding to any given set of interatomic distances.
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