Chemistry plays a particular role in astrophysics. After atomic hydrogen, helium and their ions, the Universe probably contains more mass in molecules than in any other species. Molecule formation in the early, pre-galactic Universe may have had much to do with the formation of galaxies themselves. In this context the possible interaction between primordial molecules and photons of the Cosmic Microwave Background is very important through the theoretical perspectives and constraints which could give some information on the theory of the large scale structure formation. In this paper we recall the more recent progresses on the chemistry of the early Universe, and describe the importance of molecules in the formation phase of proto objects. A special attention is done concerning the {it case of LiH.
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