%0 Journal Article %T Observation of a rotational transition in trapped and sympathetically cooled molecular ions %A J. Shen %A A. Borodin %A M. Hansen %A S. Schiller %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevA.85.032519 %X We demonstrate rotational excitation of molecular ions that are sympathetically cooled by laser-cooled atomic ions to a temperature as low as ca. 10 mK. The molecular hydrogen ions HD+ and the fundamental rotational transition $(v=0,\, N=0)\rightarrow(v'=0,\, N'=1)$ at 1.3 THz, the most fundamental dipole-allowed rotational transition of any molecule, are used as a test case. This transition is here observed for the first time directly. Rotational laser cooling was employed in order to increase the signal, and resonance-enhanced multiphoton dissociation was used as detection method. The black-body-radiation-induced rotational excitation is also observed. The extension of the method to other molecular species is briefly discussed. %U http://arxiv.org/abs/1202.5672v1