Abstract: A system for X-ray fluorescence analysis utilizes a plurality of parfocal diffractors to selectively monochromatize X-rays and focus them on a sample to be analyzed. In a preferred embodiment, each diffractor comprises a toroidally shaped crystal structure which, in the operative position of the diffractor, satisfies Johannson geometric conditions within a plurality of planes containing both a source of X-rays and a focused X-ray image.