**Welcome to our google-sites page on**

*strategies for analyzing electron scattering data*from the nanoworlds of YOUR NEIGHBORHOOD in the Milky Way, as complement to the electron detectives webpage here.

The image above shows 3D ``photocopies" of some molecular-models constructed with Mathematica, and printed out with a scale size of 1 Angstrom = 2 millimeters. The top two copies are silicon cubes with faceted-truncations, plus (only on the right hand side) with facets outlined in white. At bottom left is an m=4 graphite hex-prism with white van der Waals bonds and 4 graphene-sheets, which sheets have 4 carbon atoms (paired) along

*each*of their 6 edges. The printout at bottom-right is another silicon model, this time with a silicon {110} face at top and silicon {111} facets along the sides, while the center-model is a face-centered-cubic palladium "bow-tie", extracted from a 10 bow-tie icosahedral-twin.The figure at right analyzes the direct-space location, and vector phase-gradients, of a selected range of periodicities (green circle) in the power-spectrum of a "zone-plate" image (top left panel), using our digital darkfield plugins for the freely-available technical image analysis program ImageJ. The complex darkfield image (lower left panel) uses logarithmic complex-color to display amplitude & phase for each pixel. Phase-gradient or periodicity-strain is broken into isotropic (top right panel) & shear (bottom right panel) components, with compression red, tension cyan, CCW-twist indigo, and CW-twist chartreuse.

The above figure is from Mathematica work on the contrast transfer function in a given experimental image, based on the transfer function zeros which show up in regions with diffuse scattering. A diagnostic projected-potential & diffraction-pattern are on the left. The model point-spread (top-center panel) & contrast-transfer (bottom-center panel) functions are shown in logarithmic complex-color. Strong phase-object microscope image & image power-spectrum are on the right. |