Interaction elastic

There is also discussion as to whether it is necessary to make a correction 

The absorption of H by alloys poses even more complicated and less well understood problems. None of the theoretical models currently available can account satisfactorily for the fact that H can distinguish between interstitial sites surrounded by different types of metal atoms, although Switendick has commented on the need to allow for substantial local effects in calculations of the band structure of alloy hydrides. 

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Precipitate microstructures are important for the strength and hardness of many alloys [196-210]. A number of experimental [211-228] and theoretical [220,229-247] investigations have shown that the development of precipitate morphologies is influenced by elastic interactions (El) resulting from a lattice misfit between matrix and precipitates and from an externally applied elastic strain. 

Phase transitions in two-dimensional (adsorbed) layers have been reviewed. For the multicomponent Widom-Rowlinson model the minimum number of components was found that is necessary to stabilize the non-trivial crystal phase. The effect of elastic interaction on the structures of an alloy during the process of spinodal decomposition is analyzed and results in configurations similar to those found in experiments. Fluids and molecules adsorbed on substrate surfaces often have phase transitions at low temperatures where quantum effects have to be considered. Examples are layers of H2, D2, N2, and CO molecules on graphite substrates. We review the PIMC approach, to such phenomena, clarify certain experimentally observed anomahes in H2 and D2 layers and give predictions for the order of the N2 herringbone transition. Dynamical quantum phenomena in fluids are also analyzed via PIMC. Comparisons with the results of approximate analytical theories demonstrate the importance of the PIMC approach to phase transitions, where quantum effects play a role. 

An elastic interaction between steps can also be approximated by a harmonic potential when the deviation of the steps from a straight line is small [18]. Even though steps fluctuate with a diverging width, Eq. (36), the separation between neighboring steps or the terrace width fluctuates a little... 

J. Steinbrecher, H. Muller-Krumbhaar, E. Brener, C. Misbah, P. Peyla, Fractal growth of epitaxial surface clusters with elastic interaction. Phvs Rm- 59 5600, 1999. 

Y. Saito, H. Muller-Krumbhaar. Eden model with elastic interactions. J Phys Soc Jpn (57 3661, 1998. 

P. Peyla, A. Vallat, C. Misbah, H. Muller-Krumbhaar. Elastic interaction between surface defects in thin layers. Phys Rev Lett 82 1 1, 1999. 

Spiering H (2004) Elastic Interaction in Spin-Crossover Compounds. 235 171-195... 

An attempt has been made by Spiering et al. [39,40] to relate the magnitude of the interaction parameter F(x) as derived from experiment to the elastic interaction between HS and LS ions via an image pressure [47]. To this end, the metal atoms, inclusive of their immediate environments, in the HS and LS state are considered as incompressible spheres of radius /"h and Tl, respectively. The spheres are embedded in an homogeneous isotropic elastic medium, representing the crystal, which is characterized by specific values of the bulk modulus K and Poisson ratio a where 0 < a < 0.5. The change of molecular volume A Fas determined by X-ray diffraction may be related to the volume difference Ar = Ph — of the hard spheres by ... 

The second and third term in Eq. (27) account for the elastic interaction between the HS and LS spheres and ... 

Elastic interactions are characterized by the condition that no energy is exchanged between the measurement system and the measured sample ... 

The majority of analytical methods are based on inelastic interactions. In contrast to elastic interactions, in case of inelastic interactions both the energy of the measuring system, Ein, and the intrinsic energy of the constituents of the measuring sample, E0, will be changed in such a way that the following condition is fulfilled ... 

Electron beams Particle-matter interactions > (a) Inelastic interactions (energy transfer with sample species) SPECTROSCOPY (b) Elastic interactions (energy transfer) DIFFRACTION, MICROSCOPY... 

The theory later developed by Spiering and co-workers [24, 196] takes as its basis changes of volume, shape, and elasticity of the lattice as the main factors influencing the cooperative interactions. This model of lattice expansion and elastic interactions has been developed further and is described in detail by Spiering in Chap. 28. 

The relatively low cooperativity of this ID system has been attributed to the flexibility of the btzp bridging ligand, which may act as a shock absorber against the elastic interactions between active SCO sites, as well as to the absence of a hydrogen bonding network. This compound undergoes the... 

Elastic deformation, 21 719 ceramics, 5 613-615 coal, 6 724-725 Elastic diffusion, 23 102 Elastic element pressure measuring devices, 20 681-682 Elastic interactions, 13 498 Elasticity, 19 743... 

The enthalpy change related to associative process (A//ab) is due essentially to coulombic interactions and, subordinately, to polarization, repulsion, covalent bonding, elastic interactions, and vibrational effects. The latter two causes are generally negligible and may have some effects only at low T. 

Dundurs, J. (1968). Elastic interaction of dislocation in homogeneities. In Mathematical Theory of Dislocation, ASME, New York, pp. 70-115. 

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