Single crystal diffusion

Tseng I. S. T., Knipping U., Loxton C. M., Magee C. W., and Arnold G. W. (1985) Carbon on surfaces of magnesium oxide and olivine single crystals diffusion from the bulk or surface contamination Phys. Chem. Mineral. 12, 261-270. 

Inverse Monte Carlo approaches have also been used to extract information from single-crystal diffuse scattering data. For example, effective pair interactions were extracted from vanadium hydride, an important potential hydrogen... 

Figure 6.4 (a) Single crystal diffuse neutron scattering data measured in the (orthorhombic) hOl plane of ice Ih and (b) RMC fit. 

Double-diffusion. Another profile-related behavior that has been observed in single crystal diffusion studies is known as tailing or double-diffusion. This is observed in... 

Similar diffiisivities were obtained for both synthetic and natural quartz, and for a range of Ti source materials, including natural titanite powder and rutile-quartz single crystal diffusion couples. Although Ti diffusion appeared to be slightly slower in the direction normal to c, this difference was not great. 

Amines can also swell the polymer, lea ding to very rapid reactions. Pyridine, for example, would be a fairly good solvent for a VDC copolymer if it did not attack the polymer chemically. However, when pyridine is part of a solvent mixture that does not dissolve the polymer, pyridine does not penetrate into the polymer phase (108). Studies of single crystals indicate that pyridine removes hydrogen chloride only from the surface. Kinetic studies and product characterizations suggest that the reaction of two units in each chain-fold can easily take place further reaction is greatiy retarded either by the inabiUty of pyridine to diffuse into the crystal or by steric factors. 

Fig. 3. The diffusion coefficients of several single-crystal and polycrystaUine ceramic materials as a function of temperature where Pq represents the partial pressure of oxygen. The activation energy is obtained from the slope and the insert eg, for O diffusion in CaQ 86 186 2 Tl4 cation % Ca,...

TEM offers two methods of specimen observation, diffraction mode and image mode. In diffraction mode, an electron diffraction pattern is obtained on the fluorescent screen, originating from the sample area illuminated by the electron beam. The diffraction pattern is entirely equivalent to an X-ray diffraction pattern a single crystal will produce a spot pattern on the screen, a polycrystal will produce a powder or ring pattern (assuming the illuminated area includes a sufficient quantity of crystallites), and a glassy or amorphous material will produce a series of diffuse halos. 

Usually, the collection of LEED 7-Vcurves requires single crystal surfaces with long-range order in the upper-most layers. Structural information can, however, also be obtained in a similar way for certain disordered surfaces, when the energy dependence of the diffusely scattered intensity is analyzed (diffuse LEED [2.264, 2.265]). 

Pai Vemeker and Kannan [1273] observe that data for the decomposition of BaN6 single crystals fit the Avrami—Erofe ev equation [eqn. (6), n = 3] for 0.05 < a < 0.90. Arrhenius plots (393—463 K) showed a discontinuous rise in E value from 96 to 154 kJ mole-1 at a temperature that varied with type and concentration of dopant present Na+ and CO2-impurities increased the transition temperature and sensitized the rate, whereas Al3+ caused the opposite effects. It is concluded, on the basis of these and other observations, that the rate-determining step in BaN6 decomposition is diffusion of Ba2+ interstitial ions rather than a process involving electron transfer. 

Basu and Searcy [736] have applied the torsion—effusion and torsion— Langmuir techniques, referred to above for calcite decomposition [121], to the comparable reaction of BaC03, which had not been studied previously. The reaction rate at the (001) faces of single crystals was constant up to a product layer thickness of 1 mm. The magnitude of E (225.9 kJ mole-1) was appreciably less than the enthalpy of the reaction (252.1 kJ mole-1). This observation, unique for carbonates, led to the conclusion that the slowest step in BaC03 vacuum decomposition at 1160—1210 K is diffusion of one of the reaction components in a condensed phase or a surface reaction of C02 prior to desorption. 

While from a structural point of view metal/solution and metal/vac-uum interfaces are qualitatively comparable even if quantitatively dissimilar, in the presence of ionic adsorbates the comparability is more difficult and is possible only if specific conditions are met.33 This is sketched in Fig. 7. A UHV metal surface with ions adsorbed on it is electrically neutral because of a counter-charge on the metal phase. These conditions cannot be compared with the condition of a = 0 in an electrochemical cell, but with the conditions in which the adsorbed charge is balanced by an equal and opposite charge on the metal surface, i.e., the condition of zero diffuse-layer charge. This is a further complication in comparing electrochemical and UHV conditions and has been pointed out in the case of Br adsorption on Ag single-crystal faces.88... 

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