Answer: Background and General Remarks
Background
The background which was used in the following refinements was determined by hand.
There are 28 background points in the range is 8° to 62.475°, and 32 in
the range 8° to 142.975°:
| No. | 2 Theta | Intensity |
| 1. | 8.000 | 747.291 |
| 2. | 9.757 | 696.057 |
| 3. | 11.654 | 665.058 |
| 4. | 14.187 | 643.116 |
| 5. | 15.965 | 634.309 |
| 6. | 18.047 | 627.869 |
| 7. | 20.036 | 623.143 |
| 8. | 22.045 | 619.033 |
| 9. | 24.264 | 614.685 |
| 10. | 26.510 | 610.884 |
| 11. | 28.741 | 607.413 |
| 12. | 31.315 | 603.439 |
| 13. | 33.999 | 599.417 |
| 14. | 36.039 | 596.469 |
| 15. | 38.052 | 593.542 |
| 16. | 40.039 | 590.432 |
| 17. | 41.871 | 587.838 |
| 18. | 43.807 | 585.044 |
| 19. | 45.381 | 582.849 |
| 20. | 47.085 | 580.454 |
| 21. | 48.833 | 577.860 |
| 22. | 50.648 | 575.277 |
| 23. | 52.678 | 572.184 |
| 24. | 54.304 | 569.757 |
| 25. | 56.550 | 566.542 |
| 26. | 59.173 | 563.399 |
| 27. | 61.102 | 561.512 |
| 28. | 62.725 | 560.285 |
| ---- | ------- | -------- |
| 29. | 66.208 | 558.399 |
| 30. | 71.000 | 556.932 |
| 31. | 75.000 | 556.000 |
| 32. | 142.975 | 551.306 |
The additional four points in the higher angle area are determined so that they follow the trend of the background line in the lower angle area, and keep smoothness of the background function. More precise determination was precluded by the fact that too many overlappings in the higher angle area make it impossible to decide where a background point should be positioned. Although, there is a short region in the higher angle area (123.65° to 124.50° approximately) in which overlappings are not too heavy, and it was used as a guidance for correction of the positions of the additional background points.
The background function was corrected several times during the first two refinements
(in lower angle area, as well as in higher).
The background (red squares) and the pattern can be seen together and compared
in one of the figures which ilustrate results of following refinements:
Remark: Rietica's grafic program always shows experimental data with
unconnected black crosses, calculated profile with a red line, indices
with blue bars, and the difference plot with a green line.
General Remarks
Program used was Rietica, PC-version. In all the following refinements
starting values in the program were set as listed:
General strategy.
In addition to advices from case study (coordinates of the heaviest scatterers first, etc.), the next strategy was applied: