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Resolution

Resolution. Meaning of “resolution”. Autoindexing. What does autoindexing tell you?. What does autoindexing tell you?. For a given crystal lattice: Every possible reflected x-ray beam is assigned a unique index: (h,k,l). Meaning of “completeness”. What does autoindexing tell you?.

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Resolution

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  1. Resolution

  2. Meaning of “resolution”

  3. Autoindexing

  4. What does autoindexing tell you?

  5. What does autoindexing tell you? For a given crystal lattice: Every possible reflected x-ray beam is assigned a unique index: (h,k,l)

  6. Meaning of “completeness”

  7. What does autoindexing tell you? 9 numbers:

  8. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms)

  9. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees)

  10. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees) 3 crystal rotations (degrees)

  11. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees) 3 crystal rotations (degrees)

  12. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees) 3 crystal rotations (degrees) The “A” matrix

  13. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees) 3 crystal rotations (degrees) A = B · u

  14. What does autoindexing tell you? 9 numbers: 3 cell edge lengths (Ǻngstroms) 3 cell corner angles (degrees) 3 crystal rotations (degrees) A · (hkl) = (xyz)

  15. A · (hkl) = (xyz)

  16. Practical guide to indexing

  17. Practical guide to indexing

  18. Practical guide to indexing

  19. Practical guide to indexing

  20. Practical guide to indexing

  21. Practical guide to indexing

  22. Practical guide to indexing

  23. Practical guide to indexing

  24. Practical guide to indexing

  25. Practical guide to indexing

  26. Practical guide to indexing

  27. Practical guide to indexing

  28. Practical guide to indexing

  29. Practical guide to indexing

  30. Practical guide to indexing

  31. Practical guide to indexing

  32. Practical guide to indexing

  33. Practical guide to indexing

  34. Inverse Beam

  35. Anomalous Scattering

  36. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions

  37. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase

  38. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom

  39. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom The different locations of atoms in the unit cell cause slight differences in scattered ray “path lengths”

  40. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom The different locations of atoms in the unit cell cause slight differences in scattered ray “path lengths” The different path lengths cause interference

  41. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom The different locations of atoms in the unit cell cause slight differences in scattered ray “path lengths” The different path lengths cause interference

  42. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom The different locations of atoms in the unit cell cause slight differences in scattered ray “path lengths” The different path lengths cause interference

  43. Anomalous Scattering X-rays wavelenghts are far above the natural frequencies of most atomic transitions All atoms normally scatter in phase Each spot is the sum of the scattered radiation from each atom The different locations of atoms in the unit cell cause slight differences in scattered ray “path lengths” The different path lengths cause interference Each spot has a unique amplitude and phase

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