The invention relates to a structure for storing hydrogen by sorption (10) comprising alternating: - at least a first layer (100) comprising a material for storing by sorption, and - at least a second layer ( 200) comprising a material: ○ compressible in order to deform under the action of forces exerted by the storage material during variations in the volume of the storage material during the sorption and desorption phases of hydrogen, and / or ○ thermally conductive, with thermal conductivity greater than that of the storage material, in order to increase the heat transfers within the storage structure (10).
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