# [Ifeffit] Measuring particle size by coordination number

Scott Calvin scalvin at sarahlawrence.edu
Mon Aug 3 06:11:53 CDT 2015

```Hi Abhijeet,

The formula looks poorly when it is only applied with one path.

The strength of this approach, and of Anatoly Frenkel’s alternative strategy for finding particle sizes, is that it compares coordination numbers for different shells, helping to break the correlations between N, S02, and sigma2.

Even then, it tends to report sizes that are small compared to those provided by other techniques, but compares sizes between different samples quite well.

—Scott Calvin
Sarah Lawrence College

On Aug 3, 2015, at 4:41 AM, Abhijeet Gaur <abhijeetgaur9 at gmail.com<mailto:abhijeetgaur9 at gmail.com>> wrote:

Hi all,

Sorry, I may be asking a question already asked in the mailing list, but I am unable to get it from the earlier discussions.

I am reading one of the research article ´´ Determination of crystallite size in a magnetic nanocomposite  using extended x-ray absorption fine structure´´ .J. Appl. Phys,. vol 94, page 778, 2003

In this paper there is a formula N_nano = [1-3/4(r/R)+1/16(r/R)^3]N_bulk, which you said can be used in the Artemis for extracting the  particle size.

I am trying to use this formula for determination of size of Ni particles in an Ni / Al2O3 catalyst. From TEM the size determined is around 4 nm.

So, I am trying to fit the theoretical model of Ni metal to the sample data in the Artemis

I defined a guessed parameter R and then put the whole formula for S02 = amp*(1-(0.75*(Reff/R))+(0.063*(Reff*Reff*Reff/(R*R*R)))).

The value of R I am getting is 0.81 (0.05) which is quite small.

Is there something I am missing in the formula or I have to define the N seprately for sample cooridnation number.

Currently, I am using only the first path in the fitting.

With thanks

Abhijeet Gaur

--
Dr. Abhijeet Gaur
Post doctoral fellow in the  Institute for Chemical Technology and Polymer Chemistry
Karlsruher Institut für Technologie (KIT), Karlsruhe Germany.
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