2-dimensional disorder of the units connecting ordered layers
Periodic Building Unit
Periodic Building Unit (PerBU):
Layer of isolated zig-zag chains
Layer symmetry
P m m (2)
2D cell parameters
a = 10.48 Å
b = 7.55 Å
gamma = 90°
Comment
To facilitate understanding of the connectivity patterns shown below, O atoms that connect to a single row of d4r units have been highlighted in the layer of isolated zig-zag chains shown to the right.
Connecting unit
Connecting unit
d4r
References
Cichocka, M.O., Lorgouilloux, Y., Smeets, S., Su, J., Wan, W., Caullet, P., Bats, N., McCusker, L.B., Paillaud, J.L. and Zou, X.D.
"Multidimensional disorder in zeolite IM-18 revealed by combining transmission electron microscopy and X-ray powder diffraction analyses"
Crystal Growth Des., 18, 2441-2451 (2018)
Connectivity pattern
Examples
Positions of d4r unit connectors in a row
There are two possible positions for a row of d4r units above two neighboring zig-zag chains in the layer. The position of the first d4r unit (along a) determines the positions of all the other d4r units in that row.
Symmetry Operations
Translation
Comment
Image
0
d4r units in position 1
1/2a
d4r units in position 2
Second row identical to first with no shift along a
Second row shifted by 1/2a with respect to first
Examples
Disorder along c: stacking of the layers of connectors Each layer of zig-zag chains is generated from the previous one (gray) by a mirror plane (green) or a translation of 1/4a. The zig-zag layers themselves are ordered along c. However, the d4r units in the connecting layers can also be disordered along c, making the disorder 2-dimensional (along both b and c). The rows of d4r unit connectors can be stacked along the [001] direction using either of the following connectivity patterns
Symmetry Operations
Translation*
Comment
Image
1/4a
-1/4a
* relative to the previous layer of connectors
Effect on channel system The disorder can block one or both of the straight 10-ring channels (e.g. those present in polymorphs A and B) when both d4r positions are present in a single layer of d4r units (see polymorph C).
Simplest ordered end-members
Connectors are shown in light blue.
Adjacent PerBUs generated by the same connectivity pattern (with or without connectors in between) are shown with different shades of the same color for clarity.