Actually when
the Fourier transform of an EM is indexed and
diffraction intensities and phases are measured,
the corresponding EM is averaged according to the lattice periodicity.
Here the averaging is done further according to the space group symmetry
by forcing both the amplitude and phase of structure factors to obey the
symmetry relationships*. The calculation is first carried out in reciprocal
space. Make the sub window containing the reciprocal image (top right of the figure below)
the current window. Click the 'Sym. average' button
. A dialog box (upper left) will ask the user to specify the plane group. Or,
as an alternative the user can put in a space group symbol. However the projection of the
given space group should match one of the plane groups listed in the dialog box. A residual
map (lower left) will then appear with a green "+" mark at the position of minimum
residual. If necessary (but not recommended), the user can adjust the position of the mark.
By clicking OK, the averaged reciprocal image (bottom right) will be calculated according to the
position of the "+" mark.
* For details the user is referred to Xiaodong Zuo, Chem. Commun., Stockholm Univ. 1995, No. 5, pp. 38-42.
Fourier transforming
the averaged reciprocal image (upper-left corner of the next figure), we get the average
image in real space (middle). The latter can be zoomed by clicking the 'Zoom' button
. Be sure to adjust also the 'Width' and 'Height' in the dialog box appropriately.
The green lines on the enlarged image (right sub window) are
unit cell borders which can be shown or hid using the corresponding function
in the pull-down menu "Image".