polydispersity

Monte-Carlo: now in 2D!

2013/03/18 // 1 Comment

Small-angle scattering analysis has never been easy for those working with oriented nanostructures (e.g. fibres, processed polymers, rolled metal alloys), whose structure may lead to anisotropic small-angle scattering. Upon the collection of such 2D scattering patterns, one can integrate thin pie-slices of the data to obtain 1D curves and analyse them in the same way as “normal”, isotropic scattering patterns. This way, however, important cross-correlation information is lost. Alternative full-pattern fitting methods have been developed (amongst others during my Ph.D. studies), but they are complicated to tune to the system at hand and can be quite unstable in least-squares [...]

Papers! One of mine and one on detector data read-in

2013/03/04 // 0 Comments

It has been a long time in the making, but now the day has finally come where the 1D Monte Carlo method has been published! To top it off, the publication is open access (courtesy of my current institute: NIMS), and has a wicked showcase document as supplementary material. Feel (very) free to check it out [...]

Free Code! McSAS: A Monte-Carlo way for retrieving particle size distributions.

2013/01/21 // 1 Comment

Good news for those of you on the hunt for a way to get polydispersity (size distribution) information from your scattering patterns. Two pieces of good news, to be precise! A combined dataset (left) fitted using the Monte-Carlo method for size distribution retrieval. The volume-weighted size distribution is shown on the right on arbitrary scale. Firstly, the paper that describes my implementation of the method that does exactly this has just been accepted earlier this month for publication in J. Appl. Cryst, though it will probably not make it into the February issue. With a bit of luck, I will be able to make it open access, though! I have talked about the method before (e.g. here) so I will not spend more words on it. The second news is that the Python code with the fitting procedure is now available in an online repository here, thanks to Pawel Kwasniew at ESRF for his efforts in setting up the repository. The code comes complete with a quickstart guide with several pictures and [...]

New video online- presenting observability

2011/12/25 // 1 Comment

Dear readers, First of all, a merry end-of-year thingie (insert name here) to all of you. Last week, I presented a short 15-minute talk at the MRS-J conference in Yokohama. While it was a nice opportunity to present and meet people, it is a relatively small conference. With that in mind, I decided to re-record the presentation and post in online so you can take what you want from it. I was slightly ill when re-recording so the edit is a bit choppy (after removing the sneezes). It is available on Youtube here (and embedded below). Please leave comments and/or thumbs up if you like, and follow me on twitter @drheaddamage if you want to hear more ramblings from this side. Lastly, the next video definitely should be a custom one explaining the monte-carlo method we’ve developed referred to in the [...]

Revisiting observability in polydisperse systems: “real” polydispersity

2011/07/17 // 1 Comment

edited on 2011-07-20 14:51 to add equation defining observability Of course I could not leave you hanging after the last post with that question “does the observability still scale with the radius squared for samples with more than two particles?”. Short answer: yes. Long answer: mostly, with some interesting lessons w.r.t. q-angles and limitations. Click “more” to read [...]

Observability in polydisperse systems. What is all the accuracy for?

2011/06/30 // 0 Comments

Abstract of this post: In this post, I will show that for a spherical two-particle system, the observability of the smaller particle scales with the inverse squared radius, quite different from the scattering power, which scales with the radius to the sixth power (volume squared). This means that scattering data with 1% error can be used to distinguish at most particles 1/20th the size of the largest particle present, and data with 0.1% error can be used to observe single particles at most 1/50th of the size of the largest particle. Beyond this, only proportional numbers of smaller particles can be observed. Additionally the point of maximum observability is determined to be at q*Rg~2.6 for numeric examples, and q*Rg~2.45 for an algebraic [...]

Comments on Deschamps, 2011 and A clarification on Guinier for Polydisperse systems

2011/04/08 // 4 Comments

After browsing through a recent Journal of Applied Crystallography, I came across a paper by Deschamps. It indicates to me that there is a slight lack of information communication in some aspects of SAXS. Firstly, it mentions in the introduction that the advanced (Fourier-transform-based) SAXS analysis methods cannot “extract simultaneously the precipitate form factor and the precipitate size distribution”. Indeed they cannot, but neither can the classical methods (see for example page 147 of [1]). It is only when we assume a shape of the scatterer in the classical methods, that the number of possible size distributions reduces to a single solution. Inversely, if we assume a size distribution, there is only one general form factor which will match. This leads to the erroneous conclusion that the classical methods can result in a simultaneous determination of size and polydispersity.   My main point, however, is the research on the behaviour of the Guinier method in [...]

More details for the monte-carlo code

2011/01/15 // 0 Comments

As promised, some more details which hopefully make the monte-carlo code (discussed here) more useful to you; the software documentation. softwaremanual_mcfit In the documentation are also some examples using the scattering pattern generators discussed before. Let me know if you canor cannot get it to work and post your findings here (or father, on the software [...]

Notes on Guinier

2011/01/02 // 2 Comments

…well, his famous SAXS analysis method. This documentGuinier_short, copyright Brian Pauw gives a short description and review of the applicability of the Guinier method to polydisperse systems. It also shows, through analysis of simulated data, what q-range should be measured for the Guinier method to be valid. In short, the rule of qmax=1.3/Rg still holds, but Rg in polydisperse systems is the volume-squared weighted Rg of the distribution. This then implies that the Guinier method for polydisperse systems quickly becomes unusable as the required qmax cannot be reached with anything but USAXS systems for polydisperse samples. This text (the linked PDF) is released under copyright (copyright by Brian R. Pauw, 2011) as I may want to include some of this in a later publication. I hope you [...]