Nonmonotonic variations

Allahyarov, E., Lowen, H., Hansen, J.P., and Louis, A.A. Nonmonotonic variation with salt concentration of the second virial coefficient in protein solutions. Phys. Rev. E, 2003, 67, No. 5, p.051404. 

This normalization procedure, taking only into account the volume of liquid involved in the oscillating motion, is unable to remove the nonmonotonous variation of the damping coefficient. 

Among the band calculations, there were two attempts, by Ivashchenko (1984) and Schalder and Monnier (1989), to study the influence of structural defects on the electronic structure of solid solutions. Ivashchenko used the APW-LCAO-CPA method for analysis of the DOS distribution in the ZrC jN D (x + y + z = 1) alloy. It was found that metallization of the alloy takes place as z increases. Some Hf carbonitrides with a variable number of p atoms and cation and anion vacancies were studied by Schalder and Monnier (1989) making use of the relativistic KKR-GF method. Reasonable agreement was obtained between the calculated and experimental photoelectron spectra. It was shown that the presence of defects in the solid solutions leads to the formation of additional vacancy states (Fig. 5.12), which are typical for binary phases (Chapter 4), and to partial charge polarisation towards metallic centres. The latter effect is more pronounced for C vacancies (see Table 5.1). One of the most interesting conclusions of this paper was the establishment of the nonmonotonic variation of the N(Ep) in the series HfC HfCj,Nj HfN (Table 5.1). 

As it has been shown in Section 7.3, the longitudinal coefficients of elasticity Cjj and viscosity and shear viscosity coefficients 7/44 of the nanocomposite polymeric materials under study almost always decrease with increasing the concentration of nanopartides. The only exception was for the nanocomposite material with the iron oxide nanopartides. In this case, the value of Cjj decreased with increasing the concentration nanopartides, passed through a minimum at their concentration of 15%, and increased again. As for the shear elastic coefficient its value exhibited nonmonotonic variation depending on the concentration of the nanopartides in all cases. 

Martin and Robert (1981) have shown that a similar correlation of S—P—S bond angles and P chemical shifts in 2-thioxo-2-tert-butyl-1,3,2-dithiaphospha compounds likely exists (Fig. 3). The nonmonotonic variation of S and S—P—S bond angle observed here is quite similar to Gorenstein s (1975) original empirical correlation. However, the point for P04 " included in the original plot has been eliminated from Fig. 2. If this point were included ( = +5 ppm, O—P—O angle 109.5°), then a nonmonotonic variation would also be observed. 

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