Electron density calculator for the 3D-cubic lattice Im-3 (Q204) and Im-3m (Q229)

This Javascript calculates the 3D electron density distribution rho(r) of a cubic lattices Q204 and Q229 from scattering data. Enter the number of peaks (from 1/1/0 up to the 12th reflection = 3/3/2, note: reflections 3/3/0 and 4/1/1 are doublets!) and the value of the 3D-lattice spacing (d). Enter the peak intensities I(q) or peak amplitudes F(q) and their signs of the scattering amplitudes (+ or -). Select the corrections already applied to the input data: 'none' means no corrections, LC means Lorentz correction (multiplied by q*q) and MC means multiplicity correction (divided by the multiplicities) have already been applied. F(q) have to be entered both LC and MC corrected. Optionally also I(0) or F(0) as a constant offset can be entered. Enter the value for rz (0 < rz < d/2, rz=0: means center of the unit cell) where the slice of the electron density (parallel to the rx-ry plane), multiplied by a constant factor f should be calculated. If f=0 then the electron density is divided my the volume of the unit cell. Note that for the cubic spacegroup 204 and 229 the rx-ry, rx-rz and ry-rz planes are symmetry equivalent. For the calculation/plotting of 5 equidistant slices between rz and rz+d/2 click here. For 2*Nr points rho(r) at rz from -rmax = -rx = -ry to rmax = rx = ry will be calculated. If the calculation takes too long (on a slow computer) decrease Nr. The values are listed/plotted in rho(r) vs rx, ry in arbitrary units and can be copied and pasted from the window into any text-file for further processing and graphical displaying.


Input rho (rx, ry) at rz
peaks d
Nr rmax
I(0)
I(1/1/0)
I(2/0/0)
I(2/1/1)
I(2/2/0)
I(3/1/0)
I(2/2/2)
I(3/2/1)
I(4/0/0)
I(3/3/0)
I(4/1/1)
I(4/2/0)
I(3/3/2)
rz f

data:
colorscale:
2D-plot:
3D-plot:



Author: M.Kriechbaum, TU-Graz (2018), e-mail: manfred.kriechbaum@tugraz.at