A sound transducer structure includes a membrane and a counter electrode. The membrane includes a first main surface in a sound transducing region made of a membrane material, and an edge region. The counter electrode includes a second main surface arranged in parallel to the first main surface of the membrane on a side of a free volume opposite the first main surface of the membrane. A plurality of elevations extend in the sound transducing region from the second main surface of the counter electrode into the free volume. The membrane and the counter electrode are arranged to provide a capacity therebetween. The membrane comprises a corrugation groove extending in the sound transducing region from the first main surface of the membrane into the free volume.