•% u c i> r. ,'
j_ a if-u ti
Intensity
<1 [A ]
Fg. a) arid b): Lucjan Pijak, ‘Nanostruktora wybrarg*h...” 1998
Measrred intensityof i>yVS. can be npproximnted by:
I(q)<x Apfr^(r)Sin^r dr
, whcro:
o diaiuełer of a particie (e.g. in agdouieiaie)
•\p - iii ffcxnce iii cl cc Iron dcnsily of a mnlcrial fc.g. SiC) and il.s stirrotmding (e.p. vacmun>
f>(r) - correlatlon 1'unctlon of the scatterlnp particie
Nnlicc: sincc scallcrinj: inlcnsily ilcjwnds on <hf$erenct of c cclroi
densities. the scatterers can be both: particles i.e.p. SiC crains) or pores. SAS experiment iiself can t determine l)]ic of llic scallcrcr.
Then. the correlation tunctiou we can expres$ as:
, wliere:
fir) - shaj» funclion i:f llicagglimicniic (ilocsn'l niallcr licrc)
;'(r) - denslty of the aęglomerate
Agglmneralcs grown as fraclal siruclurcs havc llic corrclaliori tainctio.t:
miii ihcy scali er likc:
tor 1/A < q < Ha. wt.ere:
A diameter of neglomerate a - diumcler oL pnmary pimiclc
Jt means: we can determlue mass fractal dfnienslon L>„ oi agglnmcralc by .slmplc mcasurcmcnl of slopc of scallcring curvc.