Hydrogen, introduced into crystalline (c-) or amorphous (a-) silicon (Si), plays an important role in improving Si properties for photovoltaics application. Low temperature proton implantation in c-Si and a-Si or H-doping of Si films introduces metastable hydrogen in the bond-centered-position (BCH), which dissociates with increasing temperatures into new metastable complexes. Using ab-initio molecular dynamics we report on the stability of BCH, a convenient hydrogen model system, in crystalline Si and its temperature-induced dissociation products in a wide temperature range, which includes temperatures close to solar cell operating conditions. Particular attention was paid to the newly experimentally discovered H 2 ** dimer, and the H 2 * dimer, as well as isolated interstitial hydrogen and monohydrides. Each complex leaves a characteristic signature in the frequency spectrum, the density of states (DOS) and in the imaginary part of the dielectric constant that agrees well with experiments. All complexes modify the vicinity of the energy gap of pure c-Si. BCH introduces characteristic donor levels, causing a strong peak in the DOS just below the intrinsic conduction band. The Fermi energy is raised, filling these donor states with two electrons and causing a strong peak in the imaginary part of the dielectric constant in the infrared. The H 2 ** and H 2 * dimers introduce a low energy tail in the imaginary part of the dielectric constant. The results are important for experimental in-situ optical characterization of Si film growth that often involves hydrogen.