Materials to store molecular hydrogen for mobile applications have been intensively studied over the past years. In summary, two storage mechanisms have been proposed: chemisorption (e.g. metal hydrides, [1,2] aminoboranes [3] ), and physisorption in nanoporous materials. [4][5][6] In contrast to most hydride storage media, materials physisorbing H 2 offer reversible (un)loading processes without intensive external heating or cooling. As H 2 is a nonpolar molecule, the two principal contributions to the adsorption energy are weak London (dispersion) interactions (LDI) and interactions due to the electrostatic potential of the host material. LDI depend on the polarisability of the host material and on the distance between H 2 and the host surface. Therefore, systems designed for H 2 storage should be highly polarisable and have a large specific surface area with favourable pore sizes of~0.6 nm. [6][7][8] Graphitic (sp 2 ) carbon structures (graphene slit pores, [8] carbon nanotubes, [9] fullerenes [10] and more advanced materials (C 60 intercalated graphite, [11] honeycomb graphite [12,13] etc.)) belong to this group. However, with none of them the 2010 goal of the US Department of Energy (6 wt. % of stored H 2 and 45 g L À1 volumetric density) [14] could be reached for moderate pressure and ambient temperature. [15,16] Higher H 2 adsorption capacities might be possible if attractive electrostatic interactions are introduced by a non-negligible charge separation in the host. One of the most promising materials with these properties are metal-organic frameworks (MOFs, see Figure 1a), [17,18] a family of nanoporous materials that are built of well-defined building blocks, polar metal oxide centers (connectors) and nonpolar organic linkers containing aromatic carbons. As it is possible to tailor their chemical composition and pore size distribution, many potential applications have been proposed for MOFs, among them H 2 storage. [19][20][21] It has been shown experimentally that some MOFs show indeed excellent storage capacities for H 2 . [21,22] It is, however, unclear, which underlying mechanism is responsible for this property. To tune the capability of MOFs to store H 2 the fundamental interactions leading to the adsorption have to be well understood. So far, it is not clear which interaction (LDI or electrostatics, for certain connectors possibly even chemisorption) is responsible for the H 2 adsorption in MOFs. Experimental evidence [21][22][23][24] emphasizes that the strongest H 2 adsorption sites are close to the metal oxide connectors, which is interpreted such that MÀO (M= Zn, Cu, Mg, etc.) dipoles are most effective in polarizing the gas molecules and lead to strong interactions. [21][22][23][24] There is no consensus in the interpretation of the adsorption mechanism; the quantification of the adsorption energy depends on various variables and is matter of discussion, but lowenergy adsorption sites have been identified in agreement between experiment and theory. [24] It is important to obtain the host-gu...