A semiconductor component having a light-emitting semiconductor layer or a light-emitting semiconductor element, two contact locations and a vertically or horizontally patterned carrier substrate, and a method for producing a semiconductor component are disclosed for the purpose of reducing or compensating for the thermal stresses in the component. The thermal stresses arise as a result of temperature changes during processing and during operation and on account of the different expansion coefficients of the semiconductor and carrier substrate. The carrier substrate is patterned in such a way that the thermal stresses are reduced or compensated for sufficiently to ensure that the component does not fail.