Regular and quasiregular spectra of disordered layer structures

1995 ◽  
Vol 165 (6) ◽  
pp. 691 ◽  
Author(s):  
Aleksandr V. Belinskii
Clay Minerals ◽  
1980 ◽  
Vol 15 (4) ◽  
pp. 393-398 ◽  
Author(s):  
B. K. Ray ◽  
A. K. De ◽  
S. Bhattacherjee

AbstractA general expression for diffracted intensities from partially ordered layer structures with a ‘mistake’ has been calculated. The ‘mistake’ consists of a shift of a layer parallel to adjacent layers by any arbitrary fraction b/q along the b axis, q being any integer. The expression is free from any simplifying approximations.


1999 ◽  
Vol 5 (S2) ◽  
pp. 152-153
Author(s):  
Chi Ma ◽  
George R. Rossman

One-, two- and three-layer polytypes are common in muscovite (sheet silicate). Based on high-resolution transmission electron microscopy (HRTEM) and analytical electron microscopy (AEM) examinations, we report in the discovery of complex 5-layer and 7- layer polytypes in natural muscovite for the first time (Fig. 1) and the implications of polytype transitions.Three main structures are found in muscovite crystals in a sample from Oreana, Nevada, which are 1M, 2M1, and a disordered structure often containing short-range ordered stacking sequences. On the scale of a few micrometers, muscovite occurs as ordered crystals, disordered crystals, and crystals with regions of ordered and disordered layer stacking.Short-range ordered 5- or 7-layer repeats are found in some disordered structures where single 4-, 6-, 9- or 10-layer intergrowths occur occasionally with 2- and 3-layer repeats. Such complex polytypes have not been observed before in either natural or synthetic muscovite, although 5- and 7-layer structures are commonly present in trioctahedral micas (i.e., biotite) (Baronnet, 1992).


Author(s):  
Kristian Ufer ◽  
Georg Roth ◽  
Reinhard Kleeberg ◽  
Helge Stanjek ◽  
Reiner Dohrmann ◽  
...  

AbstractWe address the problem of the quantitative description of X-ray powder pattern of turbostratically disordered layer compounds. The Debye formula is used, which allows the aperiodic description of any arrangement of atoms. With the extension of Yang and Frindt (1996) for the ideal turbostratic case, these calculations are used to generate reference data that are subsequently treated by the Rietveld method. We are able to show that the case of uncorrelated turbostratic disorder can be modelled equally well in a periodic supercell approach with a single layer in the supercell that is suitable for the Rietveld technique. A brief introduction of this new model was given as an oral contribution at EUROCLAY 2003 (Ufer et al., 2003). The fundamental principles are described in this article because of its complexity. The applicability of this approach to real systems is demonstrated for smectite and corundum mixtures.


2008 ◽  
Vol 2008 (27) ◽  
pp. 151-158 ◽  
Author(s):  
K. Ufer ◽  
R. Kleeberg ◽  
J. Bergmann ◽  
H. Curtius ◽  
R. Dohrmann

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