Mass Fractal S(q)


Calculates the structure factor term ONLY from the Mass Fractal model.

The Sinha-Mildner-Hall fractal structure factor.

The functional form of the structure factor is defined below

S(q) = \frac{\Gamma(D_m-1)\xi^{D_m-1}}{\left[1+(q\xi)^2
\frac{sin\left[(D_m - 1) tan^{-1}(q\xi) \right]}{q}

where $D_m$ is the $mass$ fractal dimension and $\xi$ is the upper fractal cutoff length, i.e. the length scale above which the system is no longer fractal.

SasView automatically appends two additional parameters $radius$_$effective$ and $volfraction$ to all $S(q)$ models. However, these are not used by this model.

The mass fractal dimension ( $D_m$ ) is only valid if $1 <= D_m <= 3$. It is also only valid over a limited $q$ range (see the references for details).

WARNING! By convention, $S(q)$ is normally dimensionless. THIS FUNCTION IS NOT DIMENSIONLESS!

D Mildner and P Hall, J. Phys. D: Appl. Phys.,
19 (1986) 1535-1545 Equation(9)

P Wong, Methods in the physics of porous media
San Diego; London. Academic. (1999)

Authorship and Verification
Author: Ziggy Attala and Matt D G Hughes Date: 09/09/2019
Last Modified by: Steve King Date: 18/09/2019
Last Reviewed by:


Created By smk78
Uploaded Sept. 18, 2019, 6:01 p.m.
Category Structure Factor
Score 0
Verified This model has not been verified by a member of the SasView team
In Library This model is not currently included in the SasView library. You must download the files and install it yourself.


Wed 18 Sep 2019 at 18:04
This is a cleaned-up version of the same model submitted by Z Attala.

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