Dear colleagues,
I am facing a problem of correlating laser scattering (DLS) and X-ray
diffraction data.
For correct comparison, I need either to calculate some model distribution from
X-ray data (this is feasible assuming lognormal distribution - there are ready
software solutions for that) or typical "X-ray sizes" (Dv and/or Da) from given
distributions.
The inverse task (calculating Dv and/or Da from given distributions) appears to
be very simple, but it seems there is no ready software solution, and I need to
manually integrate the data. But before doing that I would like just to be
sure that I use correct formulae.
I read the paper dealing with that in great detail (JAC, 35, 338 by Popa &
Balzar, Ref. 1), but it is too mathematical, and I am not completely confident
if I understood everything correctly.
If we denote distribution (normalized to unity) as p(x), x=particle size
then, according to Ref.1:
Dv=3mu_4/2mu_3 (1)
and
Da=4mu_3/3mu_2 (2)
Do I understand correctly, that moments mu_i are just:
mu_i=Int[0, Infinity]{x^i*p(x)dx}
Or there are some missing factors somewhere?
Sincerely,
Maxim.
-------------------------------------------
Dr. Maxim Lobanov
R&D Director
Huntsman-NMG
mailto: [EMAIL PROTECTED]
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