gamma-Al2O3 have a same structure with MgAl2O4. The difference is that the gamma-Al2O3 has one-ninth of the Al sites are vacant, and it remains controversially where the Al cancancies locate.
gamma-Al2O3 have a same structure with MgAl2O4. The difference is that the gamma-Al2O3 has one-ninth of the Al sites are vacant, and it remains controversially where the Al cancancies locate.
as far as I know gamma-Al2O3 is a defect spinel structure. Therefore the unit cell is highly probably cubic (but at the moment I dont have access to the crystal structure of gamma-alumina). In your drawing the unit cell seems to be at least not cubic. My advice is to look for crystal structure data of gamma-alumina and then set up the 110 surface in an appropriate drawing program.
I took gamma-Al2O3 from the ICSD data base and selected the phase with space group Fd-3m. You can slice this structure according to the (110) plane. You obtain an alternating sequence of thin slices looking like the two fig. below. In these fig., large spheres are O and small sphere are Al
Please consider that {110} is related to the definition of the unit cell vectors and therefore of the crystal system. I am not absolutely sure which of the 1-1-0 combinations you are talking about since your cell in the CIF file is monoclinic, i.e. you have different combinations: {110}, {011} (both with a multiplicity of 4), and {101}, {-101} (both with a multiplicity of 2). All of these planes should deliver a different "surface".
Of course, you have to ask yourself whether the monoclinic CIF file matches your requirements. It might be that you are really interested in {110} indexed as cubic phase. Then the descriptions given by the upper comments are well done, although I often prefer like Wolfgang a perpendicular presentation in order to see the stacking. However, if you need to see the distribution within the plane Gervais presentation is very useful. But again: take into account that the indexing is related to a certain basis vector description. If you change this, also the plane looks different.
A last comment: Please always use the international convention of lattice plane indexing (Miller indexing): either (hkl) for a single plane or {hkl} for the entity of all symmetry equivalent planes. A simple use of thee numbers is inacceptable, even if you are adding "plane". If you use (hkl) or {hkl} you don't need to add "plane" since this the description already tells everybody.
Hello, everyone, I am sorry for my late response. Firstly, thanks for all of your enthusiastic replies. Recently I am searching literature for the crystal structure of gamma-alumina. From published papers I find two crystals, one is cubic Fm-3m and the other has P21/m space group. I present them as below
With the second one by Digne et al., I built the (110) by setting U= [0 0 1] and V=[1 -1 0] as below. These pictures are top and side views of the supercell I obtained. I am not sure if this model is reasonable.
"The unit cell for this structure is rotated 45 degrees relative to the standard FCC unit cell (eg. Zhou and Snyder, 1991). As a result, the (010) surface of this unit cell corresponds to the (110) surface of the FCC unit cell". You may check the following link for response to a similar inquiry on VAP forum: