  Diffuse interstellar bands (DIBs) still await an explanation. One expects
that some progress in this field will be possible when all the known DIBs are
divided into families in such a way that only one carrier is responsible for
all bands belonging to the given family. Analysing high resolution optical
spectra of reddened stars we try to find out spectroscopic families for two
prominent DIBs, at 5780 and 5797 angstroms. Among the DIBs, observed in the
spectral range from 5590 to 6830 angstroms, we have found 8 candidates to
belong to 5780 spectroscopic family and the other 12 DIBs candidating to family
of 5797 structure.
