The present invention relates to a thermoelectrically cooled or heated container, in particular a refrigerator unit and/or a freezer unit, having at least one cooled or heated inner space and having at least one thermoelectric element, in particular having at least one Peltier element, for generating cold or heat in the inner space, wherein the thermoelectric element is arranged between two thermoconductive solid bodies of which one or both have an increasing cross-sectional area as the spacing from the thermoelectric element increases.

A cryocooler includes a second-stage cooling stage, a second cylinder which includes the second-stage cooling stage on a terminal of the second-stage cylinder, a second-stage displacer which includes a magnetic regenerator material and is accommodated in the second-stage cylinder so as to be able to reciprocate in the second-stage cylinder, and a tubular magnetic shield which is installed on the second-stage cooling stage and extends along the second-stage cylinder outside the second-stage cylinder. The magnetic shield is formed of a normal conductor and a product of an electrical conductivity in a temperature range of 10 K (Kelvin) or less and a thickness of the tubular magnetic shield is 60 MS (Mega-Siemens) to 1980 MS.