See what you will probably never see in reality, thanks to the PCOD

One-dimensional aluminoborate models (not DFT-optimized) as predicted by GRINSP

Models selected among 4138 CIFs (2009 update) including 3D, 2D, 1D and 0D aluminoborates - AlO6 octahedra or trigonal prisms connected to BO3 triangles exclusively by corner-sharing.

Note that these models are not electrically neutral

Not exhaustive list (more will be added during the next weeks, maybe)...

References for these predictions :

1- Inorganic structure prediction with GRINSP. A. Le Bail, J. Appl. Cryst. 38 (2005) 389-395.
2- Predicted corner-sharing titanium silicates. A. Le Bail, Z. Kristallogr., Suppl. 26 (2007) 203-208.
3- Powerpoint file : Contribution to the "Gordon Conference Style" Workshop : Global Optimisation Techniques Applied to the Prediction of Structures, 5-7 July 2006, University College London (.ppt or zipped)
4- Advances in structure prediction of inorganic compounds. A. Le Bail, Report of 2nd Algerian Crystallography Congress, AlgĂ©rie (2005).
5- Hypothetical AlF3 crystal structures, A. Le Bail, F. Calvayrac, J. Solid State Chem., 179 (2006) 3159-3166.
6- Inorganic structure prediction: too much and not enough, A. Le Bail, Solid State Phenomena 130 (2007) 1-6.
7- Frontiers between crystal structure prediction and determination by powder diffractometry, A. Le Bail, Powder Diffraction, S23 (2008) S5-S12.
8- Databases of virtual inorganic crystal structures and their applications, A. Le Bail, Phys. Chem. Chem. Phys. 12 (2010) 8521-8530. DOI: 10.1039/c003907c
Etc - search by yourself after all...

PCOD6101412   [AlB8O15]-3   CIF

PCOD6102375   [AlB8O15]-3   CIF

PCOD6101227   [AlB18O30]-3   CIF

PCOD6100314   [AlB18O30]-3   CIF

PCOD6100842   [AlB12O21]-3   CIF

PCOD6100125   [AlB18O30]-3   CIF

PCOD6100592   [AlB12O21]-3   CIF

PCOD6100210   [AlB24O39]-3   CIF

PCOD6100455   [AlB30O48]-3   CIF

PCOD6101703   [AlB8O15]-3   CIF

PCOD6101701   [AlB6O12]-3   CIF

PCOD6100190   [AlB18O30]-3   CIF

PCOD6100134   [AlB18O30]-3   CIF

PCOD6101111   [AlB8O15]-3   CIF

PCOD6100227   [AlB12O21]-3   CIF

PCOD6100782   [AlB18O30]-3   CIF

PCOD6101604   [AlB4O9]-3   CIF

PCOD6100265   [AlB4O9]-3   CIF

PCOD6102318   [AlB22O36]-3   CIF

PCOD6102380   [AlB10O18]-3   CIF

PCOD6100367   [AlB6O12]-3   CIF

PCOD6102323   [AlB22O36]-3   CIF

PCOD6103350   [AlB14O24]-3   CIF

PCOD6103354   [AlB10O18]-3   CIF

PCOD6103398   [AlB10O18]-3   CIF

PCOD6100293   [AlB12O21]-3   CIF

PCOD6100339   [AlB30O48]-3  CIF