CrystalMaker lets you simplify complex structures by using
polyhedral representations to replace groups of atoms and
bonds. A question arises when working with empty cage
structures, such as in zeolites or buckyball (C-60) compounds.
Because the cages are empty, they
cannot be automatically displayed as polyhedra. Fortunately,
CrystalMaker 7 for Mac and CrystalMaker 1 for Windows
come to the rescue, with a new Make Polyhedron command, as
described in the following tutorial.
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1. Define Selection.
One needs to select all atoms in the cage - these will be the
vertices of the final polyhedron. For a typical zeolite, one
would want to select the tetrahedral sites (Al,Si atoms). In
this example, we are selecting carbon atoms in C60. Because
the C60 units are not interbonded (in this representation),
one can select an entire "molecule" using the Selection >
Select > Entire Molecule menu command, resulting in
the following display:
2. Make Polyhedron command.
Choose the Make Polyhedron command from the Selection
menu. The Make Polyhedron sheet or dialog appears:
Specify an element symbol and site label for the new
(centroid) site - it is probably a good idea to use
a "fake" element symbol, to make it easier to
distinguish this from the other atoms.
One would probably want to specify bond generation
(including symmetry-related bonds) and specify that
symmetry-related polyhedra are also shown. Note that without
bonds, it is not possible to display a polyhedron.
Click the OK button to continue. After a slight pause the
structure is plotted. Notice that new sites have been
created at the centres of the cages, with bonds to the
surrounding "cage" atoms. We can use these to define
polyhedra.
3. Tweak the Polyhedral Plot.
It is usually a good idea to check the polyhedral site
styles to ensure that only the cages are
plotted as polyhedra: use the Model > Model Options
command, click on the Atoms tab, and specify blank
polyhedral styles for all sites except for the
polyhedral centroid.
Switch to the Polyhedral model type (Model > Polyhedral)
to display a solid polyhedron.
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One might also want to edit the Rendering Options for
polyhedra to ensure that edges are not drawn - some
structures do not have perfectly-flat faces, and so a simple
hexagonal face might actually be comprised of (say) a
rectangle and two triangles.
To edit rendering settings, choose the Rendering Options
command from the Rendering menu. In the window that appears,
select the "Reflectance" tab to display the Reflectance
Options pane. Next, specify "Polyhedra" in the "Rendering
For" popup and choose "none" in the "Show Frame"
popup:
Click the Apply button to replot the structure. We now
have nicely-rendered "solid" polyhedral cages.
An Alternative - The "Coloured Faces" Method
Instead of generating an entire, "solid" polyhedron for the
C60 structure, one could instead define planar polyhedra for the
cage faces. This allows one to colour the different face
types separately - useful for emphasizing symmetry
relationships.
One can select a group of atoms that form the vertices of a
face, then use the Make Polyhedron command, as in the
previous example. One will probably need to repeat this
if there are other faces, not related by symmetry. One will
end up with a series of "fake" sites at the face centres,
as illustrated below:
One can display a polyhedral model with the "fake" face
atoms displayed as opaque or translucent planes - and
if you use different colours for the different "fake" sites,
you can observe the symmetry, as can be seen in the next
example:
Important Notes
The Make Polyhedron command is designed for specific cases
where the structure contains large, empty cages. For general
structure types, use the Edit > Bonding command to specify
bonding and polyhedral generation.
Please note that the Make Polyhedron command generates
symmetry-related bonds. These are not necessarily the
same as the bonds generated by the Edit > Bonding
command, which uses atomic distance criteria.
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