Upgrade to Pro — share decks privately, control downloads, hide ads and more …

Discussion of the Uranyl Hydrate EXAFS Analysis...

Bruce Ravel
April 02, 2015

Discussion of the Uranyl Hydrate EXAFS Analysis Example

This talk accompanies the uranyl hydrate EXAFS analysis example. It covers some details of the Feff calculation. This is also related to my presentation on the central limit theorem in EXAFS in that it discusses data quality issues related to the EXAFS analysis.

Bruce Ravel

April 02, 2015
Tweet

More Decks by Bruce Ravel

Other Decks in Science

Transcript

  1. Discussion of the Uranyl Hydrate EXAFS Analysis Example Bruce Ravel

    Synchrotron Science Group, Materials Measurement Science Division Materials Measurement Laboratory National Institute of Standards and Technology & Beamline for Materials Measurements National Synchrotron Light Source II EXAFS Data Analysis workshop 2011 Diamond Light Source November 14–17, 2011 1 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  2. Copyright This document is copyright c 2010-2014 Bruce Ravel. This

    work is licensed under the Creative Commons Attribution-ShareAlike License. To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. You are free: to Share — to copy, distribute, and transmit the work to Remix — to adapt the work to make commercial use of the work Under the following conditions: Attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). Share Alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same, similar or a compatible license. With the understanidng that: Waiver – Any of the above conditions can be waived if you get permission from the copyright holder. Public Domain – Where the work or any of its elements is in the public domain under applicable law, that status is in no way affected by the license. Other Rights – In no way are any of the following rights affected by the license: Your fair dealing or fair use rights, or other applicable copyright exceptions and limitations; The author’s moral rights; Rights other persons may have either in the work itself or in how the work is used, such as publicity or privacy rights. Notice – For any reuse or distribution, you must make clear to others the license terms of this work. This is a human-readable summary of the Legal Code (the full license). 2 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  3. The sample 1000 ppm uranyl nitrate solution dissolved in DI

    water, pH=0.96 U ax ax The liquid was held in a fluid cell and measured in fluorescence. 3 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example S.D. Kelly, et al., X-ray absorption fine structure determination of pH-dependent U-bacterial cell wall interactions, Geochimica et Cosmochimica Acta 66:22 (2002) pp 3855-3871. DOI:10.1016/S0016-7037(02)00947-X
  4. Statistical noise and systematic noise data k 5 scans ∼

    4.76 × 10−3 merge 1.77 × 10−3 1 merge = 2.69 √ 5 ≈ 2.24 The data seem show the behavior of statistcal noise But is the signal at 14 ˚ A−1 really data? In fact, is the signal beyond 9 ˚ A−1 really data? In any case, how to we proceed with a molecule in solution? 4 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  5. Sodium uranyl triacetate Here’s a crystal that contains the uranyl

    moiety: title Na uranyl triacetate title Templeton, et al, Acta Cryst 1985 C41 1439-1441 space = P 21 3 rmax = 7.0 a=10.689 core = U atoms ! At.type x y z tag U 0.4294 0.4294 0.4294 U Na 0.8286 0.8286 0.8286 Na O 0.3343 0.3343 0.3343 Oax O 0.5242 0.5242 0.5242 Oax O 0.3834 0.2945 0.6110 Oeq O 0.5464 0.2443 0.5007 Oeq C 0.4786 0.2260 0.5950 C C 0.5088 0.1240 0.6862 C If we ignore the Na and C, this has all the scatterers we need at the approximate distances we need. 5 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  6. Unique potentials in Feff Style = elem POTENTIALS * ipot

    Z tag 0 92 U 1 92 U 2 11 Na 3 8 O 4 6 C ATOMS * x y z ipot tag distance 0.00000 0.00000 0.00000 0 U 0.00000 1.01332 1.01332 1.01332 3 Oax.1 1.75512 -1.01652 -1.01652 -1.01652 3 Oax.2 1.76067 1.25061 -1.97853 0.76213 3 Oeq.1 2.46160 -1.97853 0.76213 1.25061 3 Oeq.1 2.46160 0.76213 1.25061 -1.97853 3 Oeq.1 2.46160 -0.49169 -1.44195 1.94112 3 Oeq.2 2.46758 -1.44195 1.94112 -0.49169 3 Oeq.2 2.46758 1.94112 -0.49169 -1.44195 3 Oeq.2 2.46758 6 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  7. Unique potentials in Feff Style = sites POTENTIALS * ipot

    Z tag 0 92 U 1 92 U 2 11 Na 3 8 Oax 4 8 Oax 5 8 Oeq 6 8 Oeq 7 6 C 8 6 C ATOMS * x y z ipot tag distance 0.00000 0.00000 0.00000 0 U 0.00000 1.01332 1.01332 1.01332 4 Oax.1 1.75512 -1.01652 -1.01652 -1.01652 3 Oax.2 1.76067 1.25061 -1.97853 0.76213 6 Oeq.1 2.46160 -1.97853 0.76213 1.25061 6 Oeq.1 2.46160 0.76213 1.25061 -1.97853 6 Oeq.1 2.46160 -0.49169 -1.44195 1.94112 5 Oeq.2 2.46758 -1.44195 1.94112 -0.49169 5 Oeq.2 2.46758 1.94112 -0.49169 -1.44195 5 Oeq.2 2.46758 6 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  8. Unique potentials in Feff Style = sites POTENTIALS * ipot

    Z tag 0 92 U 1 92 U 2 11 Na 3 8 Oax 4 8 Oax 5 8 Oeq 6 8 Oeq 7 6 C 8 6 C 6 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  9. Unique potentials in Feff Style = tags POTENTIALS * ipot

    Z tag 0 92 U 1 92 U 2 11 Na 3 8 Oax 4 8 Oeq 5 6 C ATOMS * x y z ipot tag distance 0.00000 0.00000 0.00000 0 U 0.00000 1.01332 1.01332 1.01332 3 Oax.1 1.75512 -1.01652 -1.01652 -1.01652 3 Oax.2 1.76067 1.25061 -1.97853 0.76213 4 Oeq.1 2.46160 -1.97853 0.76213 1.25061 4 Oeq.1 2.46160 0.76213 1.25061 -1.97853 4 Oeq.1 2.46160 -0.49169 -1.44195 1.94112 4 Oeq.2 2.46758 -1.44195 1.94112 -0.49169 4 Oeq.2 2.46758 1.94112 -0.49169 -1.44195 4 Oeq.2 2.46758 Separate ipot values for the two O atoms allows to compute different muffin tin radii – a good thing for the oxygenyl ligand. 6 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  10. The paths list Degeneracy margin Fuzzy degeneracy “collapses” nearly degenerate

    paths, giving you fewer individual paths to worry about in the fit. 7 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example
  11. Fit results 2 paths, 6 parameters – pretty simple! I

    get a very similar fit as the reference from GCA. parameter GCA Here S2 0 1.00(10) 0.93(10) Rax 1.80(1) 1.78(1) σ2 ax 0.001(1) 0.002(1) Req 2.44(2) 2.42(1) σ2 eq 0.007(2) 0.009(1) 8 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example S.D. Kelly, et al., X-ray absorption fine structure determination of pH-dependent U-bacterial cell wall interactions, Geochimica et Cosmochimica Acta 66:22 (2002) pp 3855-3871. DOI:10.1016/S0016-7037(02)00947-X
  12. So, is it data? There is clearly data beyond 9

    ˚ A−1 . In fact, I’d say there’s data beyond 14 ˚ A−1 ! More measuring time would likely help in this case. 9 / 9 Discussion of the Uranyl Hydrate EXAFS Analysis Example