Crystal phases determination

Table I summarizes the stoichiometric composition and crystal phases determined by XRD for the different layered hydroxides immediately after synthesis. The hydroxides were calcined at temperatures between 400°C and 500°C. The effect of calcination temperature on catalytic activity is shown in Table II for the Ni-A1 hydroxide. This hydroxide was found to be most active when calcined at 450°C. Similar results were found for the other hydroxides.

The intensity differences obtained in the diffraction pattern by illuminating such a crystal by x-rays of different wavelengths can be used in a way similar to the method of multiple isomorphous replacement to obtain the phases of the diffracted beams. This method of phase determination which is called Multiwavelength Anomalous Diffraction, MAD, and which was pioneered by Wayne Hendrickson at Columbia University, US, is now increasingly used by protein cystallographers. 

Crystallization of proteins can be difficult to achieve and usually requires many different experiments varying a number of parameters, such as pH, temperature, protein concentration, and the nature of solvent and precipitant. Protein crystals contain large channels and holes filled with solvents, which can be used for diffusion of heavy metals into the crystals. The addition of heavy metals is necessary for the phase determination of the diffracted beams. 

Crystallography is a very broad science, stretching from crystal-structure determination to crystal physics (especially the systematic study and mathematical analysis of anisotropy), crystal chemistry and the geometrical study of phase transitions in the solid state, and stretching to the prediction of crystal structures from first principles this last is very active nowadays and is entirely dependent on recent advances in the electron theory of solids. There is also a flourishing field of applied crystallography, encompassing such skills as the determination of preferred orientations, alias textures, in polycrystalline assemblies. It would be fair to say that... 

Potential of zero charge cont.) contribution of the solvent, 158 Conway and Colledan, and the determination of, 34 on copper, and aqueous solution, 89 crystal phase and, 44 crystal face specificity of, 21 and the crystal surface specificity, 152 DeLevie, on the effect of the density of broken bonds on, 75 dependence upon crystal phase, 154 dependence upon time of measurement, 150,151... 

In 1986, Walz and Haase [148] presented the crystal structure of the mesogenic hydrocarbon compound l,2-bis-(4 -pentylcyclohexyl)ethane. The compound exhibits a smectic B phase over a remarkably broad range of temperature. To our knowledge, this is the only crystal structure determination of a mesogenic hydrocarbon compound up to now. Since this compound does not contain any polar groups, the arrangement in the crystalline state is... 

The XRD tests were performed to determine the crystal phases of those sarq)les(see Fig.2). When Li/Ni mole ratio was 0, the dominate crystal phase was LaNi03. With Li addition, the peak intensity of crystal phases increased and the dominate crystal phase was changed to... 

The general computational mechanism of Bayesian crystal structure determination in presence of various sources of partial phase information was first outlined by... 

A single-to-single crystal phase transition was found to take place at 333 K in a new polymorph of ort/zo-ethoxy-trans-cinnamic acid [77]. In this study, the structures of the title compound obtained at two temperatures above the transition point were determined in addition to the structures of the stabilized forms existing at lower temperatures. It was found that the phase transition involved a cooperative conformational transformation coupled with a shift in layers of the constituent molecules. 

When a molecule exhibits large internal motions difficulties arise in using most available techniques for the determination of molecular geometry. In a study of 2,2 -biselenophene it was shown that although internal motion is present, useful structural information can still be obtained in the liquid crystal phase and that, at present, other techniques are not available for obtaining equivalent information, at least not in a liquid-like phase.13 This study also demonstrates the usefulness of the heteroatom satellites, and in particular of Se—H dipolar couplings. 

The nonstoichiometric nature of the (3-alumina phases lead to considerable difficulties in accurate crystal structure determination. Moreover, the defect structures tend... 

Recent developments and prospects of these methods have been discussed in a chapter by Schneider et al. (2001). It was underlined that these methods are widely applied for the characterization of crystalline materials (phase identification, quantitative analysis, determination of structure imperfections, crystal structure determination and analysis of 3D microstructural properties). Phase identification was traditionally based on a comparison of observed data with interplanar spacings and relative intensities (d and T) listed for crystalline materials. More recent search-match procedures, based on digitized patterns, and Powder Diffraction File (International Centre for Diffraction Data, USA.) containing powder data for hundreds of thousands substances may result in a fast efficient qualitative analysis. The determination of the amounts of different phases present in a multi-component sample (quantitative analysis) is based on the so-called Rietveld method. Procedures for pattern indexing, structure solution and refinement of structure model are based on the same method. 

Another molecule for which there seems to be an appreciable conformational difference between the free molecule, as determined by calculation, and the molecule in the crystal phase, but where the effect is somewhat masked by the large thermal motion in the latter, is 2-bromo-l, 1-di-p-tolylethylene (14) (45). 

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