Temperature dependence of linear

Schwakzl, F., and A. J. Staverman Time-temperature dependence of linear viscoelastic behavior. J. Appl. Phys. 23, 838—843 (1952). 

Temperature Dependence of Linear Crystal Growth Rate... 

FIGURE 48 Temperature dependencies of linear thermal expansion coefficients,... 

FIGURE 59 Temperature dependence of linear thermal expansion along tetragonal o-and c-axes of CeAu2Si2 (Sakai, 2009). 

FIGURE 119 Temperature dependence of linear thermal expansion (A///)o, (A///)i, and (A///)c of single-crystal UGe2 at ambient pressure. The Curie temperature 7c is shown by an arrow (Nishimura et al., 1994). 

Schwarz, F. and Staverman, A.J., Time-Temperature Dependence of Linear Viscoelastic Behavior , J. ofAppl. Physics, Vol. 23 (1952), p. 838. 

For unheated heat insulation and refractory materials, the temperature dependence of thermal expansion is essential. Figure 2.90 in Sect. 2.7 shows the temperature dependencies of linear coefficients of thermal expansion for several vermiculite-based materials. The materials cannot be recommended for use in the high-temperature devices due to high-volume increases upon heating. The excep-ti(Mis are materials 2 and 3, which have uniform temperature dependencies of linear coefficients of thermal expansion. 

The temperature dependency of linear thermal expansivity is illustrated in Figure 18 for typical amorphous and crystalline polymers. For the most part the behavior is similar or identical to that of the temperature dependence of specific volume, and many of the qualitative features of thermal expansivity can be... 

The Arrhenius relation given above for Are temperature dependence of air elementary reaction rate is used to find Are activation energy, E, aird Are pre-exponential factor. A, from the slope aird intercept, respectively, of a (linear) plot of n(l((T)) against 7 The stairdard enAralpv aird entropy chairges of Are trairsition state (at constairt... 

Fig. 7.40 The temperature dependence of the linear rate constant for reaction of nickel with SO2 at temperatures in the range 500-1 000°C and at pressures from 0 013 to 1 atm (after Kofstad , Wotton and Birks , Kofstad and Akesson , Luthra and Worrell , Nakai and Takasawi and Seiersten and Kofstad )...

A simpler phenomenological form of Eq. 13 or 12 is useful. This may be approached by using Eq. 4 or its equivalent, Eq. 9, with the rate constants determined for Na+ transport. Solving for the AG using Eqn. (3) and taking AG to equal AHf, that is the AS = 0, the temperature dependence of ix can be calculated as shown in Fig. 16A. In spite of the complex series of barriers and states of the channel, a plot of log ix vs the inverse temperature (°K) is linear. Accordingly, the series of barriers can be expressed as a simple rate process with a mean enthalpy of activation AH even though the transport requires ten rate constants to describe it mechanistically. This... 

Clearly, the temperature profile is linear. The activation parameters are the sums shown in general, a sum of entropies and enthalpies is the result when constants are multiplied. If values of AS% and Aare known independently, from the temperature dependence of Ka for example, one can then calculate AS and AH by difference. 

The temperature dependence of the electrical double-layer parameters has been determined for real393,398 as well as quasi-perfect Ag planes.382,394 For quasi-perfect Ag electrodes, the value of 3 ffa0/9rhas been found to be higher for Ag(100) than for Ag(lll), and so it was concluded that Ag(lll) is more hydrophilic than Ag(100). For real surfaces,382,385,386 dEff=0/BT increases in the order (110) < (100) <(111). The same order of planes has been observed for Au 446-448 BEa /BT linearly increases as AX (interfacial parameter) decreases, i.e., as the hydrophilicity of Ag and Au electrodes decreases.15 32 393 397 398 446 48... 

Investigation of the linear viscoelastic properties of SDIBS with branch MWs exceeding the critical entanglement MW of PIB (about -7000 g/mol ) revealed that both the viscosity and the length of the entanglement plateau scaled with B rather than with the length of the branches, a distinctively different behavior than that of star-branched PIBs. However, the magnitude of the plateau modulus and the temperature dependence of the terminal zone shift factors were found to... 

The model [39] was developed using three assumptions the conformers are in thermodynamic equilibrium, the peak intensities of the T-shaped and linear features are proportional to the populations of the T-shaped and linear ground-state conformers, and the internal energy of the complexes is adequately represented by the monomer rotational temperature. By using these assumptions, the temperature dependence of the ratio of the intensities of the features were equated to the ratio of the quantum mechanical partition functions for the T-shaped and linear conformers (Eq. (7) of Ref. [39]). The ratio of the He l Cl T-shaped linear intensity ratios were observed to decay single exponentially. Fits of the decays yielded an approximate ground-state binding... 

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