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This is accomplished by estimating marginal distributions of particle size and temperature using maximum Shannon Entropy theory and capturing their dependence structure by employing Copula thoery.
Therefore, one can use statistical analysis to capture the dependency structure of D and T.
Chemistry.

Its morphologies by SEM and its crystal structures by XRD were studied.
So we fabricated ZnO nanorods through simple chemistry solution method and studied its microstructure and photoluminescence properties.
The structures, morphologies and optical properties of ZnO samples have been investigated by X-ray diffraction (XRD), scanning electron microscopy (SEM) and photoluminescence spectra (PL) at room temperature.

This study will investigate the exploitation of voltage and anodisation time during the anodisation process and the effect it has on the nanopore structure of the AAO by examining the structure under Field Emission Scanning Electron Microscope (FE-SEM).
However, the applied voltage not only affected the pore size but also the pore structure [4].
Study of Voltage, Acid Concentration, and Temperature on Nanopore structures. (2008)
Thin Film Solar Cells on Honeycomb-Structured Substrates for Photovoltaic Building Blocks.
Gold Nanoparticles: Assembly, Supramolecular Chemistry, Quantum-Size-Related Properties, and Applications toward Biology, Catalysis, and Nanotechnology.

Chemical and thermal stability of such structures is substantially different from analogical structures of unmodified traditional oil bitumens.
And on addition of 20-30 mass. % of sulfur the indicator of penetration decreases, temperature of softening increases, i.e. due to the increase of structure forming components the bitumen gets transformed into more viscous state.
Index of penetration of obtained bitumen is -1,1, therefore it may by assigned to type II bitumen, rheological state of which is characteristic to the structure of sol-gel.
Such cyclic polysulfides, the same as asphaltenes in bitumens, are structure forming agents.
[3] Karaulova E.N., Chemistry of oil sulfides.

Element Wt% At% O K 24.09 51.53 AlK 02.36 03.00 SiK 01.50 01.83 MoK 02.82 01.01 CaK 00.88 00.75 FeK 68.34 41.88 a Element Wt% At% AlK 01.21 02.48 FeK 98.79 97.52 b Fig.7 EDS analysis of the corrosion pits (a) not acid cleaned, (b)after acid cleaned 2.2.2 Observation of the metallographic structure of the matrix and the welding joint The matrix structure of the steel tube is the typical hypoeutectoid steel structure, and the metallographs of the matrix, welding joint and the bottom of the pit structure are as shown in Fig.8 c b a f e d Fig.12 Microstructure in different locations (a) matrix, (b)weld seam, (c)overheated zone, (d) normalized zone, (e) base metal, (f) bottom of the pit Results of metallographic observation demonstrates that the welding seam has coarser mix microstructure of ferrite and pearlite, with ferrite of two different sorts—acicular ferrite and proeutectoid ferrite--appearing to be widmanstatten structure; and that the
fusion line and the overheated zone have the mix microstructure of ferrite, pearlite and widmanstatten, widmanstatten being the abnormal; and that normalized zone has the normal mix microstructure of fine ferrite and pealite; and that the matrix has the mix normal microstructure of ferrite and pearlite, same as the structure of the straight part of the tube. 2.3 Experiment results analysis Results of the XRD demonstrates that the attachments on the inner wall of the steel tube mainly contain the black Fe2.93O4 and red-brown Fe3O4.The black Fe2.93O4 is Fe3O4 with iron vacancy, which must be formed in high temperature oxidation[3-5], so it can be inferred that those black objects are the oxidation products from the hot processing and heat treatment; but the red-brown Fe3O4 is formed through the reaction with oxygen and the tubes’ long time soaking in the water which derived from the incomplete water draining after the hydrostatic test due to a rather complicated structure of the boiler
Results of metallographic observation demonstrates that the distribution of the pearlite in the matrix of the steel tubes is parallel to the hot processing deformation axis and appears to be fibrous structure resulted from the hot processing, which is normal phenomenon.
Chemistry Teaching, 1994, 06: 42

Developing a Transducer Based on Localized Surface Plasmon Resonance (LSPR) of Gold Nano Structures for Nanobiosensor Applications Adil B.
Introduction Localised surface plasmon resonance (LSPR) of metallic nano structures is a phenomenon that is being researched on and used for biosensor applications intensively [1-5].
Scattering of light from spherical nanostructures and thus the extinction spectrum resulted from LSPR phenomenon of such structures can be explained by the Mie solution to Maxwell’s equations [9].
Fabricated structures were inspected by using a scanning electron microscope.
Van Duyne: Annual Review of Physical Chemistry, 58, 267-297 (2007)

PXRD results evident that CdSiO3 phosphor shows pure single monoclinic structure.
Aruna, Chemistry of Nanocrystalline Oxide Materials,Combustion Synthesis, Properties and Applications, WorldScientific Publishing Co.

First principles molecular simulations of soda-lime-silica glass Jan Machacek1,a, Sona Charvatova1,b, Ondrej Gedeon 1,c and Marek Liska2,d 1 Department of Glass and Ceramics, Institute of Chemical Technology, Technicka 5, CZ-166 28 Prague, Czech Republic 2 Vitrum Laugaricio - Joint Glass Center of Institute of Inorganic Chemistry SAS, Alexander Dubcek University of Trencin and RONA Lednicke Rovne, Studentska 2, 911 50 Trencin, Slovak Republic a Jan.Machacek@vscht.cz, bSona.Charvatova@vscht.cz, cOndrej.Gedeon@vscht.cz, d liska@tnuni.sk Keywords: Ab-initio molecular dynamics, soda-lime-silica glass, silicate melt, structure.
The structure analysis of the NCS glass is presented in the form of total and partial radial distribution functions (RDF), coordination numbers, and fractions of Q n units.
In this paper, preparation of the basic NCS glass by the ab initio MD is described and the elementary structure analysis of the glass is provided.

The porous β-TCP anorganic bone graftexhibits the honeycomb structure and retains the porous structure of natural cancellous bone (Fig.2A).
The bone with the porous structure consists of inorganic and organic components.
But the pore structure of porous materials currently used in a variety of artificial hole either porosity or pore size exists a certain gap between natural bone and can not get the same pore structure of natural bone[4].
Large pore structures provide ideal ingrowth channels for the vessel and bone tissue, while the micropore structures are conducive to the infiltration of the tissue fluid and nutrient composition.
Progress in Solid State Chemistry.32 (2004) 1-31

The Fe3+-doped TiO2/HZSM-5 possessed the anatase structures and Ti-O-Si bonds did not form between the HZSM-5 bulk and the supported TiO2.
With this purpose, results about the structure, crystal size, phase composition, morphology, and photocatalytic activity of as prepared photocatalysts are reported.
The dopant chemistry of Fe-doped TiO2/HZSM-5 were controlled by dissolving the different amounts of Fe(NO3)3.9H2O to deionized water ethanol solution.
The strongest absorption peak at 1047 cm-1 is assigned to the framework stretching vibration band of Si(Al)-O in tetrahedral Si(Al)O4 in the zeolite, indicating that zeolite structure was not destroyed.