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An algorithm, suitable for small computers with low memory capacity, is presented and applied to the diffractograms of graphite lamellar compounds crystallizing in the hexagonal, orthorhombic or monoclinic systems. The basic input data consist of the Bragg angle θ and its uncertainty Δθ, and n, the ratio of graphite atoms to intercalated molecules. All possible lattices corresponding to a given value of n are investigated and means are also provided to explore lattices with 2n, 3n, etc. (centered lattices) or with a value for the parameter c equal to 2Ic, 3Ic, etc. (where Ic is the so-called identity period) should there exist a screw axis parallel to the c axis.