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processing:complex-multi-phase [2019/08/01 12:34]
matthias
processing:complex-multi-phase [2023/12/10 11:11]
smerkel
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 +
 ====== ​ In the works: indexing a complex dataset with many phases ====== ====== ​ In the works: indexing a complex dataset with many phases ======
  
-If your dataset is complexhere is list of tricks ​to get it indexed. This page is being improved over time.+When you have sample with multiple phases, ​your list of extracted experimental g-gvectors (the bottom section of your [[fileformat:​gveexample|GVE file]]see example at the link) includes vectors that could originate from all phases in your sample. 
 + 
 +Here is how we proceed: 
 +  * First work on our list of g-vectors ​to identify our phases and peaks, 
 +  * Generate custom GVE files for each phase we will work on, 
 +  * Run series of indexings, one phase after another, and multiple times. 
 + 
 +===== Identify phases and peaks =====
  
-===== Trick 1: Plot intensity vs. 2theta from peak histogram in ImageD11 ===== 
  
-   from ImageD11 import columnfile  +{{ :processing:indexing:gay2023_bridgmanite_2dplot.png?​direct&​200|}}
-   c = columnfile.columnfile('​peaks_t100.flt'​) % if '​expectionproblem interpreting your colfile'​ check the extention of your file. Should be .flt  +
-   ​c.titles % to see what variables you have in your columnfile +
-   ​c.parameters.loadparameters("​CeO2_parameters.prm"​) +
-   ​c.titles +
-   ​c.updateGeometry() +
-    import pylab +
-    pylab.figure() +
-    pylab.show() +
-    import matplotlib +
-    matplotlib.use("​GTK3Agg"​) +
-   from pylab import * +
-   ​show() +
-   from ImageD11.columnfile import * +
-    c = columnfile("​peaks_t100.flt"​) +
-    c.parameters.loadparameters("​CeO2_parameters.prm"​) +
-    c.updateGeometry() +
-    tth=arange(0,​15,​.01) +
-   ​plot(np.histogram(c.tth,​bins=tth)[0],"​-"​) +
-    show() +
-    plot(tth[1:],​np.histogram(c.tth,​bins=tth)[0],"​-"​) ​ % give a better peaks separation +
-    show() +
-   ​plot(tth[1:],​np.histogram(c.tth,​bins=tth,​weights=c.sum_intensity)[0],"​-"​) ​ % take in account the intensity of the peaks+
  
-Open a python console +One of the most critical tasks of this work is to know what you are looking for. In our case, we typically have 
-   python+  * 2 or more sample phases, often with complex structures and many peaks, 
 +  * a pressure medium, often a simple cubic phase, with one peak.
  
-   ​import matplotlib +To do soit is much better to work on an [[processing:phase_identification| 2θ-histogram of the experimental g-vectors]].
-   ​matplotlib.use("​GTK3Agg"​) +
-   from pylab import * +
-   from ImageD11.columnfile import * +
-   c = columnfile('​peaks_t100.flt'​) +
-   ​c.parameters.loadparameters("​CeO2_parameters.prm"​) +
-   ​c.updateGeometry() +
-   tth = arange(0,15,.01) +
-   ​plot(tth[1:],np.histogram(c.tth,​bins=tth)[0],"​-"​) +
-   ​show()+
  
-===== Trick 2Work with large grain first =====+The figure on the right shows an example from Gay //et al//, published in //Earth and Planetary Science Letters// in 2023 [doi[[https://​doi.org/​10.1016/​j.epsl.2023.118015| 10.1016/​j.epsl.2023.118015]]]. The sample holds 4 sample phases and a pressure medium (KCl). Top image is an ω-stack for all experimental g-vectors, potted as a function of ds and η. The bottom image is what you get if you try to index an average diffraction image directly. The middle panel is what is extracted from a 2θ-histogram of the experimental g-vectors.
  
-Example: You have a phase assemblage consisting of a pressure medium ​(KCl), majoritic garnet (Maj) and stishovite (St). The phase you are mainly interested in is St. But St is also the least abundant phase. In your 2D diffraction pattern you have difficulties ​to assign ​the peaks to certain phases. Especially your phase of interest has only a few peaks of low intensity.+The histogram is less affected by very large grains (the pressure medium ​in our case). In addition, experimental peak broadening, due to the instrument or the sample properties such as grain size or microstrains,​ have been removed since we only consider the center ​of mass of eack peak.
  
-The idea behind the following procedure is thisRemove all peaks that belong ​to KCl and Maj so the only peaks left must be the St peaks.+You can then use your favorite powder diffraction software, such as [[https://​github.com/​seto77/​PDIndexer|PDIndexer]] or [[https://​luttero.github.io/​maud/​ | MAUD]] ​to identify sample phases ​and their unit cell parameters. Just keep in mind that peak intensities in the histograms are not true intensities,​ but a number of experimental g-vectors.
  
-Let's start. First, you have to [[processing:​start|perform the "​normal"​ data analysis]] up to the point where you search ​for peaks. We call this PeakSearch result the "​Start-peaks"​. ​+===== Custom GVE files for each phase =====
  
-Now comes the trickiest part: You have to do good (!Rietveld refinement. This is not easy since we already mentioned ​the issues of low intensity phases ​and multiple peaks in the paragraph above. But just do the best you can. The information you need for the following steps is the cell parameters of every phase (KClMaj and St).+We will need custom GVE file for each phase we want to index. In those files (see [[fileformat:​gveexample|detailed file format here]])
 +  * the first line needs to be altered with the unit cell parameters ​and lattice centering (one of P,​A,​B,​C,​I,​F),​ 
 +  * the section on computed theoretical g-vectors ​for the unit cell needs to be updated, 
 +  * The actual scattering vectors (g-vectorsextracted from the experimental data below is identical for all phases, since we do not know how they are assigned.
  
-Now, calculate the G-vectors with ImageD11 ​for every phase and save them. Save also the parameters ​of each phase.+Use a tool like [[processing:​list-peaks-from-cif|timelessPeaksFromCIF]], ​for each of the phases you wish to consider, ​and create a custom GVE file with the proper unit cell parameters, lattice centering, and computed theoretical g-vectors.
  
-Before dealing with GrainSpotter let's get rid of some peaks. Since KCl is the most abundant phase (e.g. the one with the most intense peaks), we remove the KCl peaks first. Run ringselect and ringselect_reverse to separate the KCl peaks from the other peaks. Check the peaks carefully ​in ImageD11 to avoid removing more peaks than necessary and adjust your theta tolerance respectivelyWe call the file which contains only the KCl peaks "​KCl-only"​ and the other file "​KCl-removed"​.+In our case, we do not index peaks from the pressure medium, but simply ignore ​the corresponding 2θ in the indexingThis can be easily done by specifying custom 2θ ranges in the GrainSpotter input file.
  
-Now, take the "​KCl-removed"​ file (without the KCl peaks) and load it to ImageD11. Again, you can calculate the G-vectors (this time only for Maj and St). Save them, as well as the respective parameters.+===== Indexing loop =====
  
-You can also load the "KCl-only" peakscalculate their G-vectors ​(only for KCl) and save the respective parameters.+Let's say your sample consist of 3 phases, phaseA, phaseB, phaseC, with the 3 corresponding experimental GVE files, phaseA.gve, phaseB.gve, phaseC.gve. The indexing process will go as follows 
 +  * index grains for phaseA, with a strict set of tolerances,​ 
 +  * remove the assigned experimental g-vectors from all 3 phaseA.gvephaseB.gve, and phaseC.gve,​ 
 +  * index grains for phaseB, with a strict set of tolerances,​ 
 +  * remove the assigned experimental g-vectors ​from all 3 phaseA.gve, phaseB.gve, and phaseC.gve,​ 
 +  * index grains ​for phaseC, with a strict set of tolerances,​ 
 +  * remove the assigned experimental g-vectors from all 3 phaseA.gve, phaseB.gve, ​and phaseC.gve,​ 
 +  * and repeat the process as many times as necessary, with the same tolerances, and then increasing tolerances to catch most sample grains, merging all the indexed grains into one master file.
  
-Run ringselect and ringselect_reverse again to separate the "​KCl-removed"​ peaks into Maj and St peaks. We call the created file "​KCl-removed_Maj-only"​ and "​KCl-removed_Maj-removed"​. Load them again in ImageD11save the parameters ​and G-vectors.+You can either run this by hand, your use a fancy loop with a bash script. We actually spent some time working on such a loop, and you can find an [[examples:​gs_loop_multiphase|example of a multiphase indexing loop here]].
  
-At the end, you should have a bunch of sets of parameter files (.prm) and G-vector files (.gve): +===== Preparing figures =====
-  * two sets for KCl (one from "​Start-peaks"​ and one from "​KCl-only"​) +
-  * three sets for Maj (one from "​Start-peaks",​ one from "​KCl-removed"​ and one from "​KCl-removed_Maj-only"​) +
-  * three sets for St ((one from "​Start-peaks",​ one from "​KCl-removed"​ and one from "​KCl-removed_Maj-removed"​)+
  
-Now, create ​.ini files for all sets (eight in this example) and run GrainSpotter (or a GrainSpotter loop). Depending on the uncertainties,​ Euler step etc. in the .ini files this may take a while.+This will be written laterWe are still waiting ​for some publications to be accepted.
  
-After GrainSpotter did its job you can now run timelessGrainComparison to see which of those results is meaningful and if the whole procedure was worth it. 
processing/complex-multi-phase.txt · Last modified: 2023/12/10 11:11 by smerkel