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Calculation of the electron diffraction intensities using the multi-slice method

Published/Copyright: August 25, 2010
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Zeitschrift für Kristallographie - Crystalline Materials
From the journal Zeitschrift für Kristallographie - Crystalline Materials Volume 177 Issue 3-4

Abstract

For the calculation of the dynamical electron diffraction amplitude using the multi-slice method the slice thickness Δz must be carefully selected. Crystals with long lattice periods parallel to the electron beam must be subdivided into m projected potential slices (φm) of thickness ΔZm. Image simulations for Nb12O29 on the [100] orientation (a = 28.9 Å) at 200 kV for various slice thicknesses gave the best fit to the experimental image for Δz = 4.8 and 9.6 Å (6 and 3 slices pro unit cell), respectively. At higher accelerating voltage and better resolution, more beams contribute to the image; in this case Δz must be decreased. In addition (independently of the calculation method), it is shown that errors in interpretation also occur, if the relativistic mass effect is neglected in the scattering equations.

Published Online: 2010-8-25
Published in Print: 1986-2-1

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

Articles in the same Issue

  1. The thermal expansion of Na2CO3
  2. Crystal structure of a beryllium-potassium polyphosphate: BeK(PO3)3
  3. 4-Amino-2-bromo-6-methyl-5,6,7,8-tetrahydropyrido[2,3-d]-pyrimidine
  4. An X-ray analysis of anomalous dispersion effects, anharmonicity and thermal vibrations in gallium phosphide
  5. An empirical model of optical susceptibilities of crystals I. Refractivity in alkali halides
  6. An empirical model of optical susceptibilities of crystals II. Elasto-optical effect in alkali halides
  7. Refinements of Ag3AsSe3 based on high-order thermal-motion tensors
  8. Crystal and molecular structure of α-naphthil
  9. The crystal and molecular structure of endo,endo-2,6-diphenacyl[4]peristylane
  10. Ancient oriental pattern and related zeolite type networks
  11. The crystal structure of saleeite, Mg[UO2PO4]2 · 10H2O
  12. Calculation of the electron diffraction intensities using the multi-slice method
  13. The triethanolamine complexes of calcium azide and strontium azide
  14. Crystal structure of trans-4-propyl cyclohexyl-4(trans-4-ethyl cyclohexyl) benzoate
  15. The crystal structure of β-NbPO5
  16. Structure of 2,7-dihydro-3,5,8-trimethylazuleno (6-5-b) furan-2,7-dione
  17. Die isotypen Phasen HEF6 · 5H2O · HF (E = P, As, Sb): Neubestimmung der Strukturen an Einkristallen1
  18. Crystal structure of a mixed crystal containing 3-benzoyl-2-phenyl-furo[2,3-b]quinoxaline and 3-benzoyl-2-phenyl-thieno[2,3-b]quinoxaline
  19. Splitpositionen für Alkalimetallkationen in den Thioindaten MIn5S8 (M = K, Rb, Cs)?
  20. Crystal structure of E-2-styrylquinoline(STQ), C17H13N
  21. 10.1515/zkri.1986.177.3-4.155
  22. 10.1515/zkri.1986.177.3-4.165
  23. 10.1515/zkri.1986.177.3-4.171
  24. 10.1515/zkri.1986.177.3-4.177
  25. 10.1515/zkri.1986.177.3-4.185
  26. 10.1515/zkri.1986.177.3-4.201
  27. 10.1515/zkri.1986.177.3-4.211
  28. 10.1515/zkri.1986.177.3-4.219
  29. 10.1515/zkri.1986.177.3-4.229
  30. 10.1515/zkri.1986.177.3-4.237
  31. 10.1515/zkri.1986.177.3-4.247
  32. 10.1515/zkri.1986.177.3-4.255
  33. 10.1515/zkri.1986.177.3-4.263
  34. 10.1515/zkri.1986.177.3-4.271
  35. 10.1515/zkri.1986.177.3-4.277
  36. 10.1515/zkri.1986.177.3-4.287
  37. 10.1515/zkri.1986.177.3-4.291
  38. 10.1515/zkri.1986.177.3-4.301
  39. 10.1515/zkri.1986.177.3-4.307
  40. 10.1515/zkri.1986.177.3-4.315
https://doi.org/10.1524/zkri.1986.177.3-4.255

Articles in the same Issue

  1. The thermal expansion of Na2CO3
  2. Crystal structure of a beryllium-potassium polyphosphate: BeK(PO3)3
  3. 4-Amino-2-bromo-6-methyl-5,6,7,8-tetrahydropyrido[2,3-d]-pyrimidine
  4. An X-ray analysis of anomalous dispersion effects, anharmonicity and thermal vibrations in gallium phosphide
  5. An empirical model of optical susceptibilities of crystals I. Refractivity in alkali halides
  6. An empirical model of optical susceptibilities of crystals II. Elasto-optical effect in alkali halides
  7. Refinements of Ag3AsSe3 based on high-order thermal-motion tensors
  8. Crystal and molecular structure of α-naphthil
  9. The crystal and molecular structure of endo,endo-2,6-diphenacyl[4]peristylane
  10. Ancient oriental pattern and related zeolite type networks
  11. The crystal structure of saleeite, Mg[UO2PO4]2 · 10H2O
  12. Calculation of the electron diffraction intensities using the multi-slice method
  13. The triethanolamine complexes of calcium azide and strontium azide
  14. Crystal structure of trans-4-propyl cyclohexyl-4(trans-4-ethyl cyclohexyl) benzoate
  15. The crystal structure of β-NbPO5
  16. Structure of 2,7-dihydro-3,5,8-trimethylazuleno (6-5-b) furan-2,7-dione
  17. Die isotypen Phasen HEF6 · 5H2O · HF (E = P, As, Sb): Neubestimmung der Strukturen an Einkristallen1
  18. Crystal structure of a mixed crystal containing 3-benzoyl-2-phenyl-furo[2,3-b]quinoxaline and 3-benzoyl-2-phenyl-thieno[2,3-b]quinoxaline
  19. Splitpositionen für Alkalimetallkationen in den Thioindaten MIn5S8 (M = K, Rb, Cs)?
  20. Crystal structure of E-2-styrylquinoline(STQ), C17H13N
  21. 10.1515/zkri.1986.177.3-4.155
  22. 10.1515/zkri.1986.177.3-4.165
  23. 10.1515/zkri.1986.177.3-4.171
  24. 10.1515/zkri.1986.177.3-4.177
  25. 10.1515/zkri.1986.177.3-4.185
  26. 10.1515/zkri.1986.177.3-4.201
  27. 10.1515/zkri.1986.177.3-4.211
  28. 10.1515/zkri.1986.177.3-4.219
  29. 10.1515/zkri.1986.177.3-4.229
  30. 10.1515/zkri.1986.177.3-4.237
  31. 10.1515/zkri.1986.177.3-4.247
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  33. 10.1515/zkri.1986.177.3-4.263
  34. 10.1515/zkri.1986.177.3-4.271
  35. 10.1515/zkri.1986.177.3-4.277
  36. 10.1515/zkri.1986.177.3-4.287
  37. 10.1515/zkri.1986.177.3-4.291
  38. 10.1515/zkri.1986.177.3-4.301
  39. 10.1515/zkri.1986.177.3-4.307
  40. 10.1515/zkri.1986.177.3-4.315
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