The invention relates to a radiography system with a recording device and to a corresponding method for recording X-rays in storage phosphor layers. In order to improve a picture quality of an X-ray, a recording control is provided for controlling the recording device such that in a first phosphor layer having a first thickness, an X-ray with a first energy limit of the X-ray radiation is recorded, and in a second phosphor layer, having a second thickness which is greater than the first thickness, an X-ray with a second energy limit of the X-ray radiation is recorded, the second energy limit of the X-ray radiation being greater than the first energy limit of the X-ray radiation.