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Instrumental advances and experimental procedures for determining invariant triplet phases by three-beam X-ray diffraction are presented. A simple X-ray diffractometer is described. It allows the exploitation of the natural linear polarization of synchrotron radiation for eliminating systematic errors in triplet-phase determination. Examples of data-collection procedures with the diffractometer for composing a polarization-dependent set of azimuthal scans are given as well as the suggestion of an analytical procedure for extracting accurate triplet phases.

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