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Probability distribution of normalized structure factor magnitudes for a centrosymmetric crystal with planar molecules in the unit cell

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Abstract

The reasons and conditions for applicability of the Cauchy distribution law for crystal structure factor components are discussed. It is shown that the standardized structure factors of centrosymmetric crystals are quite prone to be Cauchy distributed for crystals having planar molecules in their unit cells.

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References

  1. G B Mitra and S Das,Acta Cryst. A45, 314 (1989)

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  2. H Cramer,Mathematical methods of Statistics (Princeton University Press, 1957) p. 237

  3. B V Gnedenco,The theory of probability (Mir Publishers, 1978) p. 155

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Das, S., Mitra, G.B. Probability distribution of normalized structure factor magnitudes for a centrosymmetric crystal with planar molecules in the unit cell. Pramana - J Phys 48, 1091–1094 (1997). https://doi.org/10.1007/BF02845883

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  • DOI: https://doi.org/10.1007/BF02845883

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