Temperature dependence of the reduced

Figure 23. Temperature dependence of the reduced configurational entropy per unit site (defined by Eq. (70)) for the free association equilibrium polymerization model in the infinite pressure limit. The values of the enthalpy Afip = -35 KJ/mol and entropy Aip = -105 J/(mol K) of polymerization are identical to those used iu our extensive studies of equilibrium polymeriza-tiou, and the initial monomer concentration 4)° is taken as 4)° = 0.1. The crossover...

The original work of Swift and Connick [82] paved the way for modern applications of this NMR method in paramagnetic contrast agent research. The Lausanne group of Merbach and co-workers have developed elegant applications of the method [83]. Most frequently, the difference between the transverse relaxation rates of 170 in reference buffer (1/T2A) and in solutions containing the BPCA (1/T2) are measured as a function of temperature. The analysis fits the temperature dependence of the reduced transverse relaxation rate, 1/T2R, defined as ... 

Procession of experimental data in the frame of this model (by least square root technique) yields the following expressions for the temperature dependence of the reduced resistance R/Rrt of the investigated salts (Rrt is the resistivity at room temperature) ... 

The collected data allow us a rough estimation of the hypothetical Curie temperature of the martensitic phase. Figure 10 shows temperature dependencies of the reduced spontaneous magnetization m = Ms(T)/Ms(0) of the alloys as a function of reduced temperature t = T/Tc. It is seen that the magnetization of the austenitic phase and... 

Figure 3.13 Approximate temperature dependence of the reduced vapor pressure...

Fig. 4.32. Temperature dependence of the reduced electrical resistivity for URh2Ge2 (o) and URlu 9Ge2, ( ). Inset the reduced resistivity versus In T at low temperatures (Lloret et al. 1987).

Figure 5.66 Temperature dependence of the reduced standard fugacity of the solute (hypothetical liquid).

The temperature dependence of the reduced magnetization m T,0), as calculated by Lindg d and Danielsen (1975) is compared in fig. 6.3 with the available experimental results. The conduction electron polarization has been subtracted from the measured magnetization using eq. 6.20 but the effect of ignoring this correction is very small. To a good approximation the data may be characterized by the analytic expression of Mackintosh (1963) after the suggestion of Niira (1960)... 

Density and temperature dependence of the reduced J-diffusion collision frequency B ... 

Fig. 26. BaMnF. Temperature dependence of the reduced reciprocal magnetic susceptibility. The continuous curve fitted according to Rushbrooke-Wood expansion for the two-dimensional Heisenberg model...

The authors named express the temperature dependence of the reduced second virial coefficient by the series... 

The thermochemical parameters described above were used to calculate the temperature dependence of the reduced Gibbs energy in the form of the traditional pol5momial. The procedure of calculations is described in Section 4. The resulting thermod)mamic functions are presented in Table A8 in the form of the// coefficients (see Appendix). 

The highlight of the chapter is the presentation in an analytical form of the temperature dependences of the reduced Gibbs free energy for 105 individual compounds, supplemented by the listing of their formation enthalpy under standard conditions AfH°(0), as well as of the atomization enthalpies AatH°(0) for the gaseous compoimds and the sublimation enthalpies AsubW°(0) for solid-state samples. These extensive data represent complete and consistent sets and may therefore be incorporated into relevant databases or individual programs for routine calculations of the thermodynamic parameters for equilibria involving the participation of rare-earth fluorides or chlorides. 

Figure 9. Temperature dependence of the reduced heat capacity per moie (R is the gas constant) near the nematic to isotropic (N-I) transition for hexylcyano-biphenyl (6CB). The width of the arrow on the temperature axis represents the two-phase region [5].

Figure 17. The temperature dependence of the reduced heat capacity per mole for 70.7 near the SmA-SmC phase transition. The solid line represents a fit with Eq. (4) combined with the background behavior given by the dashed line. The curvature of the background is caused by the nearby SmC-B transition [69].

Figure 3 Left Temperature dependence of the reduced surface energy (Tr — for... 

Figure 10 Temperature dependence of the reduced surface energy alloy models with B2 ordering calculated in the MFA. Thin lines, the discrete lattice calculations by Cahn and Kikuchi [2] for the nearest-neighbor-interaction (NNl) model dashed lines, present calculations for the NNl-inodel thick lines, present calculations for the almost-neaxest-neighbor-inter.iction (ANNI) model for which Uj/ui = Ua/ui = 0.05, and U4/i i = 0.01. 

Figure 11 Temperature dependence of the reduced surface energy (Tr(T) for (100)-oriented APBs under Llo ordering in the Ni-Al-type alloy model. Thick lines, TCA dashed lines, MFA. 

Figure 23.1a illustrates the temperature dependence of the reduced bond energy for an atom in the bulk. Considering the single bond, one has to divide the values by the atomic CN. The (0) and the Bp are so important that they determine the... 

Figure 7. Temperature dependence of the reduced interaction parameter Xe/o...

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