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I(q) function calculator
This Javascript calculates the scattering curve I(q) of models consisting of up to 8 spheres with different x/y/z coordinates and optionally different radii and different electron densities using the Debye-formula in reciprocal space. Enter the number of spheres, their coordinates x(i), y(i), z(i), their radii r(i) and their electron-densities c(i). The spheres can also overlap (totally or partially) where the resulting electron density of the overlapping region is the sum of the overlapping electron densities. For N points the scattering curve from q = 0 to qz with a scaling factor f (optionally also in a logarithmic intensity scale) will be calculated. The values are listed in q vs I(q) or vs log(I(q)) in arbitrary units and can be copied and pasted from the window into any text-file for further processing and graphical displaying.

Input I(q) action
qz n f
x(1) y(1) z(1) r(1) c(1)
x(2) y(2) z(2) r(2) c(2)
x(3) y(3) z(3) r(3) c(3)
x(4) y(4) z(4) r(4) c(4)
x(5) y(5) z(5) r(5) c(5)
x(6) y(6) z(6) r(6) c(6)
x(7) y(7) z(7) r(7) c(7)
x(8) y(8) z(8) r(8) c(8)

spheres
I(q)
log I(q)
Rg

I(q)-plot

Author: M.Kriechbaum, TU-Graz (2012), e-mail: manfred.kriechbaum@tugraz.at