A heat-conducting body (110, 210, 310, 410, 510, 610, 710, 810), for a nozzle heater (100, 200, 300, 400, 500, 600, 700, 800) has a groove with a bottom (913, 943) or a plurality of grooves with a bottom (913, 943) each. The one groove or the plurality of grooves has/have a first section (111, 211, 311, 411, 511, 611, 711, 811, 911) and a second section (512, 712, 912). The first section and the second section cross or intersect each other at least at one point. A depth of the first section (111, 211, 311, 411, 511, 611, 711, 811, 911) differs from a depth of the second section (512, 712, 912) at least at the points at which the first section (111, 211, 311, 411, 511, 611, 711, 811, 911) and the second section (512, 712, 912) cross each other.