The aim of the invention is to reduce or compensate thermal stress created within a semiconductor component. Said aim is achieved by a semiconductor component comprising a light-emitting semiconductor layer or a light-emitting semiconductor element, two contact points, and a vertically or horizontally structured carrier substrate, and a method for producing a semiconductor component. Thermal stress is created by changes in temperature during processing and operation as well as due to the different coefficients of expansion of the semiconductor and the carrier substrate. The inventive carrier substrate is structured in such a way that thermal stress is reduced or compensated to a degree that is sufficient for the component not to break down.