Size distribution

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Fit model: size distributions




Schulz distribution


z=1/sigma^2-1;

int = exp(log((z+1)./RM).*(z+1)+log(x).*z-(z+1)./RM.*x-gammaln(z+1));    



Parameters:


parameter

description

sigma

polydispersity index [0,1]

RM

average readius




References:

J. S. Pedersen, in Neutrons, X-Rays and Light: Scattering Methods Applied to Soft Condensed Matter, edited by P. Linder, and T. Zemb (Elsevier, Amsterdam, 2002), p. 391.




Gaussian distribution


s=RM*sigma;

int = 1./(s.*sqrt(2*pi))*exp(-0.5*(x-RM).^2/s.^2);



Parameters:


parameter

description

s

standard deviation

s2

variance

RM

average radius




References:

http://en.wikipedia.org/wiki/Normal_distribution