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Effects of symmetry and atomic heterogeneity on X-ray intensities – a case of hypercentric distribution*

Published/Copyright: August 25, 2010
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Zeitschrift für Kristallographie - Crystalline Materials
From the journal Zeitschrift für Kristallographie - Crystalline Materials Volume 163 Issue 1-2

Abstract

A series expansion distribution function of the structure amplitude |F| has been used to calculate the generalised cumulative distribution function Nn(z) for a hypercentric crystal with n centres of symmetry. Modified expressions for moments have been derived considering the effect of hypercentrosymmetry for three different space groups P[unk], P2/m and Pmmm, which also take into account the effect of atomic heterogeneity in the crystal. The resultant change from the corresponding Wilson-type distribution is illustrated with the help of a hypothetical example and the effects of expansion terms have been discussed.

Published Online: 2010-8-25
Published in Print: 1983-1-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

Articles in the same Issue

  1. Crystal chemistry of compounds M3O[TO4]
  2. The crystal structure of C.I. Pigment Yellow 3, α-(1-hydroxyethylidene)-2-chloro-acetanilide-α-azo-(4′-chloro-2′-nitrobenzene)
  3. Solid-state reactions in “salt X”
  4. Grandite garnet structures in connection with the growth mechanism
  5. The crystal structure and electron density of tetraphenyl-silicon, (C6H5)4Si
  6. Effects of symmetry and atomic heterogeneity on X-ray intensities – a case of hypercentric distribution*
  7. Refinement of a partially disordered natrolite, Na2Al2Si3O10 · 2H2O
  8. The crystal structures of 1-(3′,5′-dinitrobenzoyloxy)-bicyclo[3.3.1]-9-oxanonane and 5-(3′,5′-dinitrobenzoyloxy)-cyclooctanone1
  9. The crystal structure of methoxymethoxy-2,4-dinitrobenzene1
  10. The crystal structure of 2-(3′,5′-dinitrobenzoyloxy)-tetrahydropyran Cyclohexane Solvate1
  11. The crystal structure of 2-(N-phthalimidomethoxy)-tetrahydropyran1
  12. The crystal structure of 9-oxabicyclo[3.3.1]non-1-yl diphenyl phosphate1
  13. The crystal structure of 9-oxabicyclo[3.3.1]non-l-yl methanesulphonate1
  14. Crystal and molecular structure of bis-tetrasulphurtetranitride-tetrachlorotin
  15. The crystal structure of 1,2-dibenzylidenehydrazinium hexafluoroarsenate
  16. Possible incommensurate phase in KFeF4
  17. The crystal structure of aceto-acetanilide azo-pigments II. C.I. Pigment Yellow 6, α-(1-hydroxyethylidene)acetanilide-α-azo-(4′-chloro-2′-nitrobenzene)
  18. The crystal structure of zinc(II) fumarate tetrahydrate
  19. The crystal structure of manganese(II) succinate tetrahydrate
https://doi.org/10.1524/zkri.1983.163.1-2.61

Articles in the same Issue

  1. Crystal chemistry of compounds M3O[TO4]
  2. The crystal structure of C.I. Pigment Yellow 3, α-(1-hydroxyethylidene)-2-chloro-acetanilide-α-azo-(4′-chloro-2′-nitrobenzene)
  3. Solid-state reactions in “salt X”
  4. Grandite garnet structures in connection with the growth mechanism
  5. The crystal structure and electron density of tetraphenyl-silicon, (C6H5)4Si
  6. Effects of symmetry and atomic heterogeneity on X-ray intensities – a case of hypercentric distribution*
  7. Refinement of a partially disordered natrolite, Na2Al2Si3O10 · 2H2O
  8. The crystal structures of 1-(3′,5′-dinitrobenzoyloxy)-bicyclo[3.3.1]-9-oxanonane and 5-(3′,5′-dinitrobenzoyloxy)-cyclooctanone1
  9. The crystal structure of methoxymethoxy-2,4-dinitrobenzene1
  10. The crystal structure of 2-(3′,5′-dinitrobenzoyloxy)-tetrahydropyran Cyclohexane Solvate1
  11. The crystal structure of 2-(N-phthalimidomethoxy)-tetrahydropyran1
  12. The crystal structure of 9-oxabicyclo[3.3.1]non-1-yl diphenyl phosphate1
  13. The crystal structure of 9-oxabicyclo[3.3.1]non-l-yl methanesulphonate1
  14. Crystal and molecular structure of bis-tetrasulphurtetranitride-tetrachlorotin
  15. The crystal structure of 1,2-dibenzylidenehydrazinium hexafluoroarsenate
  16. Possible incommensurate phase in KFeF4
  17. The crystal structure of aceto-acetanilide azo-pigments II. C.I. Pigment Yellow 6, α-(1-hydroxyethylidene)acetanilide-α-azo-(4′-chloro-2′-nitrobenzene)
  18. The crystal structure of zinc(II) fumarate tetrahydrate
  19. The crystal structure of manganese(II) succinate tetrahydrate
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