January 14 2003

Fit average curvatures with Gaussian distributions (1409 atoms)

The sum of three Gaussian distributions have been used to fit the average curvature distributions. The fitting Gaussian distribution function is given as:

f = a0 / sigma * exp( - ( x - <x> )^2 / 2 / sigma^2 )

Because the integral of the density function is 1 (here with a factor of 1/sqrt(2*PI)), a0 is the fraction of the peak, which is propotional to number of particles.

The peak value

p = f ( <x> ) = a0 / sigma

For each Gaussian peak, there are three independent parameters: (p, sigma, <x>) or (a0, sigma, $lt;x>).