Molybdenum disulfide, MoS2, is a well-known catalyst for hydrogenation reactions and a promising candidate for the reduction of production costs in proton exchange membrane fuel cells (PEM), which still rely on noble metal catalysts. A large number of recent studies have focused, therefore, on the preparation and characterization of MoS2 materials for electrolysis and fuel cell applications. The preparation of electrochemically active MoS2 is not straightforward though, since different reaction pathways on amorphous and crystalline nanoparticles have been observed. Therefore, a fundamental understanding of reaction and transport mechanisms is needed for further development. Hydrogen transport is the most important step for many reactions. Hence, we want to use the unique dynamic range of neutron spin-echo to survey the diffusivity of atomic and molecular hydrogen on single crystal and polycrystalline MoS2 samples.