An installation for supplying liquid xenon (LXe), to a cryostat of an imaging system or a cryostat of a detection system, the installation comprising at least: - a tank comprising at least one wall delimiting an internal volume intended to contain a useful mass of xenon; - a cryogenic device fluidly connected to the tank, said cryogenic device being configured to collect gaseous xenon (GXe) coming from the tank, condense the gaseous xenon (GXe), channel the condensed xenon to the tank - a thermal insulation equipment arranged to thermally insulate at least said at least one tank; - the at least one wall of the tank has a generally cylindrical or spherical shape configured to support a useful pressure developed by the useful mass of xenon in the gaseous state at a temperature substantially equal to 300 K, the useful pressure being comprised between 60 bar and 80 bar; the installation further comprising at least: - an overpressure limiting member connected to the tank, said at least one overpressure member being calibrated to limit an overpressure to a value greater than or equal to said useful pressure; - at least one primary heat exchanger, the primary heat exchanger comprising at least one block made of thermally conductive material, preferably made of aluminum alloy, a cold source arranged so as to cool the block at a temperature less than or equal to the liquefaction temperature of xenon; and a liquefaction coil, preferably made of stainless steel, which is connected to a respective tank and which is arranged in the block so as to liquefy xenon taken from the respective tank, the installation being characterized in that - the wall of the tank has an internal diameter of 1700 mm and has a constant thickness of 35 mm, and in that - in the primary heat exchanger, the minimum distance (21.22) between the liquefaction coil and the cold source is greater than 50 mm; and in that - at least one secondary heat exchanger is connected on the one hand to the respective tank and on the other hand to a purification device connected to the respective tank, the secondary heat exchanger comprising a heating conduit arranged downstream of the respective tank and upstream of the purification device, and a cooling conduit arranged upstream of the respective tank and downstream of the purification device, the cooling conduit being thermally coupled to the heating conduit. - a tank comprising at least one wall delimiting an internal volume intended to contain a useful mass of xenon; - a cryogenic device fluidly connected to the tank, said cryogenic device being configured to collect gaseous xenon (GXe) coming from the tank, condense the gaseous xenon (GXe), channel the condensed xenon to the tank - a thermal insulation equipment arranged to thermally insulate at least said at least one tank; - the at least one wall of the tank has a generally cylindrical or spherical shape configured to support a useful pressure developed by the useful mass of xenon in the gaseous state at a temperature substantially equal to 300 K, the useful pressure being comprised between 60 bar and 80 bar; - an overpressure limiting member connected to the tank, said at least one overpressure member being calibrated to limit an overpressure to a value greater than or equal to said useful pressure; - at least one primary heat exchanger, the primary heat exchanger comprising at least one block made of thermally conductive material, preferably made of aluminum alloy, a cold source arranged so as to cool the block at a temperature less than or equal to the liquefaction temperature of xenon; and a liquefaction coil, preferably made of stainless steel, which is connected to a respective tank and which is arranged in the block so as to liquefy xenon taken from the respective tank, the installation being characterized in that - the wall of the tank has an internal diameter of 1700 mm and has a constant thickness of 35 mm, and in that - in the primary heat exchanger, the minimum distance (21.22) between the liquefaction coil and the cold source is greater than 50 mm; and in that - at least one secondary heat exchanger is connected on the one hand to the respective tank and on the other hand to a purification device connected to the respective tank, the secondary heat exchanger comprising a heating conduit arranged downstream of the respective tank and upstream of the purification device, and a cooling conduit arranged upstream of the respective tank and downstream of the purification device, the cooling conduit being thermally coupled to the heating conduit.