A relation between dielectric distribution functions and structural properties of amorphous matter

Author(s):  
H. Kliem ◽  
G. Arlt
1996 ◽  
Vol 423 ◽  
Author(s):  
Zhizhong Chen ◽  
Kai Yang ◽  
Rong Zhang ◽  
Hongtao Shi ◽  
Youdou Zheng

AbstractIn this paper, we reported experimental results about optical and structural properties of amorphous silicon carbide (α-Si1-xCx). The films of a-Si1-xCx) were grown by CVD on substrate of quartz glass. Optical constants (n-refractive index, a-absorption coefficient, Eg-optical energy band gap) of these films were determined by transmission spectra. The radial distribution functions (RDFs) of α- Sil−xCx) films were drawn out from the data of x-ray diffraction spectra. According to the RDFs, we imagined the statistic scene from which we could obtain the information of atomic radial distribution. The bond lengths and bond numbers of Si-Si, Si-C, and C-C could be also determined by RDFs. From the analysis of Raman spectra, we obtained the information of their vibration state density, and discerned the peaks of bond vibration, which agreed well with the results of α-Si1-xCx) RDF.


Fractals ◽  
1995 ◽  
Vol 03 (03) ◽  
pp. 453-463 ◽  
Author(s):  
J.-P. HOVI ◽  
AMNON AHARONY

The distributions of structural properties, which span between two terminals on percolation clusters, are studied using the “H-cell” renormalization group (RG). The RG iteration for these distributions is directly related to a simple Galton-Watson branching process, and we therefore apply theorems developed in the mathematical literature to obtain exact expressions for the asymptotic distribution functions. Distributions of the minimal path lengths, average edge-to-edge self-avoiding walk lengths, and of the masses of percolation clusters are found, and we derive exact exponential forms for the asymptotic tail behavior of the scaled probability densities at both small and large arguments. We also find new results for the multifractal distribution of wave functions on these clusters.


2000 ◽  
Vol 17 (3) ◽  
pp. 351-356 ◽  
Author(s):  
Soong-Hyuck Suh ◽  
Woong-Ki Min ◽  
Viorel Chihaia ◽  
Jae-Wook Lee ◽  
Soon-Chul Kim

2001 ◽  
Vol 04 (04) ◽  
pp. 289-297 ◽  
Author(s):  
LUIS A. PUGNALONI ◽  
G. C. BARKER ◽  
ANITA MEHTA

We have examined extended structures, bridges and arches, in computer generated, non-sequentially stabilized, hard sphere deposits. The bridges and arches have well-defined distributions of sizes and shapes. The distribution functions reflect the contraints associated with hard particle packing and the details of the restructuring process. A subpopulation of string-like bridges has been identified. Bridges are fundamental microstructural elements in real granular systems and their sizes and shapes dominate considerations of structural properties and flow instabilities such as jamming.


1990 ◽  
Vol 68 (1) ◽  
pp. 23-33 ◽  
Author(s):  
Hamid A. Rafizadeh

A simple linear-chain model is utilized in calculation of the mechanical and structural properties of metallic glasses. The model calculations of composition-dependent elastic constants show good agreement with the experimental data available for binary metallic glasses. The model is capable of distinguishing different structural characteristics of glassy systems and provides excellent agreement with the radial distribution functions of amorphous cobalt, metal–metalloid, and binary transition metal glasses. The model is not limited to binary systems and can be readily applied to ternary and higher order metallic glasses.


Polymers ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 779
Author(s):  
Jan Kallweit ◽  
Thomas Vad ◽  
Felix Krooß ◽  
Thomas Gries ◽  
Mohmmed Houri ◽  
...  

The structural properties, mainly the spatial variation of density and chain interaction, of melt-spun polymer optical fibres (POFs) are investigated by small-angle X-ray scattering (SAXS) and compared to Monte-Carlo polymer simulations. The amorphous PMMA POFs had been subjected to a rapid cooling in a water quench right after extrusion in order to obtain a radial refractive-index profile. Four fibre samples with different processing parameters are investigated and the SAXS data analysed via Guinier approach. Distance-distribution functions from the respective equatorial and meridional SAXS data are computed to extract the fibres’ nanostructures in the equatorial plane and along the fibre axis, respectively. Temperature profiles of the cooling process are simulated for different locations within the fibre and taken as input for Monte-Carlo simulations of the polymer structure. The simulation results agree with the SAXS measurements in terms of the cooling profile’s strong influence on the structural properties of the fibre: slower cooling in the centre of the fibre leads to stronger interchain interaction, but also results in a higher density and more homogenous materials with less optical scattering.


2006 ◽  
Vol 20 (07) ◽  
pp. 779-790
Author(s):  
RANBER SINGH ◽  
PER ZETTERSTRÖM ◽  
INDER MOHAN ◽  
P. K. AHLUWALIA

The structural properties of amorphous silicon models generated with Reverse Monte-Carlo Modeling techniques are presented. The structure factors and radial distribution functions of the generated models closely resemble with the experimental data, but show some dependence on the sample size. However, the coordination defects show no direct correlation with the size of the sample. There exists no peak at 60° in the Si–i–Si bond angle distributions in these samples. The Si–Si–Si bond angle distributions in these samples are quite in good agreement with the Monte-Carlo and Molecular Dynamics simulations data.


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