Resist theoretical predictions

Early transport measurements on individual multi-wall nanotubes [187] were carried out on nanotubes with too large an outer diameter to be sensitive to ID quantum effects. Furthermore, contributions from the inner constituent shells which may not make electrical contact with the current source complicate the interpretation of the transport results, and in some cases the measurements were not made at low enough temperatures to be sensitive to 1D effects. Early transport measurements on multiple ropes (arrays) of single-wall armchair carbon nanotubes [188], addressed general issues such as the temperature dependence of the resistivity of nanotube bundles, each containing many single-wall nanotubes with a distribution of diameters d/ and chiral angles 6. Their results confirmed the theoretical prediction that many of the individual nanotubes are metallic. 

The effective permeability of ionizable molecules depends on pH, and the shapes of the permeability-pH profiles can be theoretically predicted when the pKa of the molecule is known, the pH partition hypothesis are valid, and the resistance of... 

Non-isothermal reaction with the diffusion resistance in the pore In an exothermal reaction, temperature gradients will arise within the pellet and, consequently, the temperature of pellet will be elevated compared with its surroundings. As a result, the reaction will be faster than the isothermal counterpart. AT in the film as well in the pellet can be theoretically predicted and, consequently, the maximum AT between the outer surface (Ts) and the inside of the catalyst (T n) calculated, when there c = 0 ... 

The results have been reported of a comparative study of the measured electrical resistivities of liquid alkali metals and alloys, and the theoretical predictions for this quantity obtained within the diffraction model.48 The composition dependence of the Knight shifts in Na-Cs, Na-Rb, K-Rb-Cs, and Na-Rb-Cs liquid alloys has also been examined.49 Addition of small quantities of rubidium (0.3—4.51 atom %) to liquid sodium increases the electrical resistivity almost linearly with increasing solute concentration. With increasing temperature from 100 to 1100 °C, the effect of rubidium on the resistivity of sodium progressively diminishes.50 Addition of the solutes Hg, Tl, and Pb increases the resistivity of liquid potassium linearly with both increasing concentration and temperature. The unit increases in resistivity/pfl cm (atom%) , are 8.80, 9.85, and 15.8 for Hg, Tl, and Pb,... 

Nevertheless, to the authors knowledge, there have been few reports on theoretical predictions of resist material characteristics. Theoretical predictions on resist material characteristics, if they can be made prior to polymer synthesis and/or evaluation, can save much time and elaborate work. 

Finally, there has been some evidence that the coefficient for shear elasticity may be a function of the surface extension, increasing with increasing deformation. This was first proposed by Fischer in an effort to resolve discrepancies between theoretical predictions and observed behavior of red cells undergoing dynamic deformations in fluid shear [Fischer et al., 1981 ]. Increasing elastic resistance with extension has also been proposed as an explanation for discrepancies between theoretical predictions based on a constant modulus and measurements of the length of a cell projection into a micropipette [Waugh and Marchesi, 1990]. However, due to the approximate nature of the mechanical analysis of cell deformation in shear flow, and the limits of optical resolution in micropipette experiments, the evidence for a dependence of the modulus on extension is not clear-cut, and this issue remains unresolved. 

Table 1 shows the comparison between theoretical predictions to experimental results. From the comparison, it is shown that theoretical initial stiffness is higher than the experimental results. The ratio of theoretical values to experimental results is in the range of 3.93 to 6.02. On the other hand, theoretical moment resistance is lower than the experimental results. The ratio of theoretical values to experimental results is in the range of 0.54 to 0.96. 

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