Abstract: In an electron accelerator having a target which is exposed to an electron beam for the production of x-ray deceleration radiation, a conical compensating member is arranged centrally within a cone pattern of the x-ray radiation. The compensating member has a decreasing conical shape toward the target and merges into a cylinder portion. Beam paths within the cylinder portion which are additional to those in a conventional purely conical compensating member are compensated by a recess positioned in a base of the compensating member having an appropriately selected depth. In another embodiment, a conically shaped compensating member is arranged within the cone-shaped x-ray pattern such that a tip of the compensating member is aligned away from the target and a base is aligned toward the target. A collimator having a conical passageway surrounding the x-ray radiation has a groove for receiving the base of the compensating member so as to mount the same within the conical passageway of the collimator.