The invention relates in particular to a device for thermal connection of an energy store (102) to a cooling plate (108) and/or a contact element (104a, 104b; 504a), and a cooling plate (106) on a contact element (104a, 104b; 504a) and/or a fluid. The device for thermal connection has a first region having a first heat transfer property and at least one other region having another heat transfer property, wherein the first region and the at least one other region are arranged next to one another in relation to the heat transfer surface.