Abstract: Poincare Fluorescence, the process accompanied by de-excitation of a molecule in the high internal energy state, had been predicted and examined in the field of physical chemistry and atomic physics in the late 70fs. However since then, it has been almost forgotten because of the ambiguity of the experimental confirmation. In 1988, this process was re-discovered or proposed by a theorist from a viewpoint of astrophysics. Recently, with a technological progress of ion traps or ion storage rings, several groups have reported that this process indeed exists and takes place, by experimentally tracing the de-excitation process of an isolated single molecular ion in vacuum. Especially, we very recently have succeeded in direct observation of Poincare fluorescence. The composition of interstellar clouds is heavily influenced by the fate of the molecules after excitation by light absorption or after the collision. In the dilute interstellar space, emission of radiation is the only means by which the molecules can stabilize after excitation above the decomposition threshold. From such a context, the existence of this fluorescence process is important for astrochemistry. In this talk, starting with comprehensive introduction of Poincare fluorescence following the inverse internal conversion, I will explain why it has not been found in spite that its existence is naturally expected, together with its significance in astrochemistry.