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Implementation of algorithms

pyimgalgos/src/FiberIndexing.py  self-documentation

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Comparison of data with triclinic lattice prediction

Re-tune geometry

Left- and right-hand side aro not quite symmetric. Re-tune geometry Geometry re-alignment

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Now data peaks look symmetric relative to the center of image, but predicted peaks are misaligned relative to data.

Re-rune lattice parameters

Measurement of peak radial parameters. Two dash-curve circles have radial parameters 100 and 300 pixels, respectively.

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Code Block
( h, k) R(h,k)[1/A]
( 0, 0) 0.0000
( 0, 1) 0.0375 cut
( 1, 0) 0.0550 *
(-1, 1) 0.0601 *
( 1, 1) 0.0725 
( 0, 2) 0.0751
(-1, 2) 0.0837 *
( 1, 2) 0.1015
(-2, 1) 0.1089 +
( 2, 0) 0.1100 +
( 0, 3) 0.1126
(-1, 3) 0.1150
(-2, 2) 0.1202
( 2, 1) 0.1232
( 1, 3) 0.1348
(-2, 3) 0.1408
( 2, 2) 0.1451
(-1, 4) 0.1492
( 0, 4) 0.1501
(-3, 1) 0.1618
( 3, 0) 0.1651
(-3, 2) 0.1671
(-2, 4) 0.1675
( 1, 4) 0.1699
( 2, 3) 0.1724
( 3, 1) 0.1764
(-3, 3) 0.1803
(-1, 5) 0.1847
( 0, 5) 0.1876
( 3, 2) 0.1945
(-2, 5) 0.1977
(-3, 4) 0.1997
( 2, 4) 0.2031
( 1, 5) 0.2058
(-4, 1) 0.2157
( 3, 3) 0.2176
(-4, 2) 0.2179
( 4, 0) 0.2201
(-1, 6) 0.2209
(-3, 5) 0.2238
( 0, 6) 0.2252
(-4, 3) 0.2263

Indexing optimization

Optimization parameters

  • sigma_q - in lookup table, works for omega; fraction of the wave number from 0.001 to 0.003
  • sigma_q - in record processing, works for dq = r(node) - r(Evald); 1/A
  • range of omega angle, ex: 0-180, 360 - stands for 360 points in the range from 0 to 180°
  • range(s) of beta angle, usually used for two bands, small angles and symmetric with  +180° offset.

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  • sigma_q= 0.002 in both cases
  • range omega (0-180,360)
  • ranges beta (0-50,11) and (180-230,11)

In run 169 this look-up table yields in 1171 events indexed for ≥2 peaks

Plots

Image of the look-up table for low range of beta angles, superposition of low and high ranges, projection of the lookup table on q_h

Image Modified

Comparison of the look-up table and data (geometry and lattice parameters are re-tuned)

 

 

 

 

Referencesq

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