A temperature control device for an NMR sample tube , wherein, around an interior delimited in a radially outward direction by a cylindrical wall , a plurality of flow channels for a temperature-controlling fluid arranged inside one another and running radially around the interior are formed for receiving the NMR sample tube , of which the radially outermost flow channel , which is delimited by axial walls , comprises an outer compartment and an inner compartment , which are designed such that during operation, the temperature-controlling fluid flows in the same direction in the outer and the inner compartment, wherein the temperature control device is formed in a first axial end region such that it is closed to the interior and in an opposite, second axial end region such that it is open to the interior for the introduction of the NMR sample tube into the interior , wherein adjacent flow channels in a counterflow area are each connected to one another with a first fluid passage at one axial end such that the flow direction of a fluid flow in the radially outermost flow channel to the adjacent, radially innermost flow channel reverses in the countercurrent area, wherein the radially outermost flow channel comprises a fluid inlet at one axial end, and wherein the radially innermost flow channel , which is delimited by the axial walls , comprises a second fluid passage to the interior at an axial end which faces the closed first axial end region , characterized in that the outer compartment of the radially outermost flow channel is geometrically designed in such a way that it is in flat thermal contact with both the radially inner axial wall and the radially outer axial wall , that the outer compartment surrounds the inner compartment of the radially outermost flow channel such that the inner compartment is neither in thermal contact with the radially inner axial wall nor with the radially outer axial wall , and that the inner compartment of the radially outermost flow channel is delimited by an axial partition which, starting from the closed first axial end region , extends only so far in the axial direction that it is axially spaced apart from the second axial end region . wherein the temperature control device is formed in a first axial end region such that it is closed to the interior and in an opposite, second axial end region such that it is open to the interior for the introduction of the NMR sample tube into the interior , wherein adjacent flow channels in a counterflow area are each connected to one another with a first fluid passage at one axial end such that the flow direction of a fluid flow in the radially outermost flow channel to the adjacent, radially innermost flow channel reverses in the countercurrent area, wherein the radially outermost flow channel comprises a fluid inlet at one axial end, and wherein the radially innermost flow channel , which is delimited by the axial walls , comprises a second fluid passage to the interior at an axial end which faces the closed first axial end region , characterized in that the outer compartment of the radially outermost flow channel is geometrically designed in such a way that it is in flat thermal contact with both the radially inner axial wall and the radially outer axial wall , that the outer compartment surrounds the inner compartment of the radially outermost flow channel such that the inner compartment is neither in thermal contact with the radially inner axial wall nor with the radially outer axial wall , and that the inner compartment of the radially outermost flow channel is delimited by an axial partition which, starting from the closed first axial end region , extends only so far in the axial direction that it is axially spaced apart from the second axial end region . <EOS>