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Bloch-wave channeling

Channeling effects in electron diffraction describes the concentration of the electron on the atomic columns. These effects are important when crystals are imaged along high symmetry [uvw] zone axis. They are calculated using the Bloch-wave method described here.

It consists to create a stack of either the wave-functions intensity or the integrated intensity of the wave-functions as a function of crystal thickness. The calculation uses Bloch-waves and it is controlled in a identical way. The Channeling pane is shown in Fig. 1. The sliders to adjust the camera length and deviation are activated by toolBox tool button.

The Imaging tabbed pane allows to duplicate nx × ny the images.

Figure1

Figure 1 Channeling pane with toolbox.

The sliders of the Image stack pane control the thickness of the crystal (Fig. 2a), the Options pane allows to select the Atomic Form Factors and to save the image stack either as formatted images or raw images, i.e. floating point (Fig. 2b).

The Reflections pane controls the number of reflections included in the stack calculation (Fig. 2c).

Figure2a Figure2b Figure2c

Figure 2a Image stack pane.

Figure 2b Options pane.

Figure 2c Reflections pane.

The calculation is started using the Start tool button. The calculation time depends on the number of reflections and the number of steps. When finished a stack of images is displayed (Figures 3a, 3b) and the wave-function after each step is displayed in the Wave-functions pane (Fig. 4).

Figure3a Figure3b

Figure 3a Channeling stack view along [001].

Figure 3b Channeling stack view along [100]

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The image stack box contains tool buttons to:

The first checkbox colorizes the stack and the second sets a unique intensity scale for each image of the stack (Color lut and Group contrast). The radio buttons x-y, x-z, y-z control the view direction.

The two sliders select the image of the stack to display and modify the image contrast.

Figure4

Figure 4 Wave-functions panel.

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The wave-function stack display is controlled by the sliders of the toolbox. Two tool buttons allow to:

The stack of wave-functions is shown in Figures 5a, 5b. The intensity at the atomic columns position show the typical increase-decrease as a function of crystal thickness.

Figure5a Figure5b

Figure 5a Wave-functions stack view along [001].

Figure 5b Wave-functions stack view along [100]