Temperature dependence of average

Fig. 13 Temperature dependence of average hydrodynamic radius i h>) of copolymer PNIPAM-g-PEO chains in water during heating and cooling, where the weight-average molar mass (Mw) is 7.2 x 106 g/mol, the molar number ratio of NIPAM monomers to PEO macromonomers is 111, and on average, there are 392 short PEO chains grafted on each PNIPAM chain [69]...

Fig. 16 Temperature dependence of average hydrodynamic radius (< Rh)) and average radius of gyration Pg of PNIPAM microgels grafted with linear PEO chains in the heating-and-cooling cycle, where the dispersion concentration is 1.0 x 10 5 g/mL [70]...

Fig. 40 Aggregation temperature dependence of average aggregation number (Nchain) of resultant stable mesoglobules made of different copolymers, where Nchain is defined as...

Fig. 43 Temperature dependence of average aggregation number (Nagg) of PNIAPM-co-MACA mesoglobules formed in a gradual heating process, where Nagg = Mw>agg/Mw>chain with Mw>agg and Mw>chain, the weight-average molar masses of the copolymer aggregates and of the chains, respectively and copolymer concentration is KT5 g/mL. Note that each data point was obtained after the temperature equilibrium was reached [ 142]...

Fig. 8 The temperature dependence of average molecular relaxation times for amorphous pharmaceutical materials. (From Ref.. )...

The temperature dependence of average dielectric permittivity enters the equations both explicitly (term ksT) and through S (the additional contribution from h and F is weak) while is directly proportional to S. The latter corresponds to the uniaxial symmetry of the dielectric permittivity with a tensor form ofEq. 3.16. 

Fig. 355. [N(CH3)4]2[CuC1j] (/), Cs2CuBr4(2) and [N(CHj)4]2CuBrj(3). Temperature dependence of average susceptibility [66L1],...

Fig. 87. Fe(pc), powder. Temperature dependence of average magnetic moment. The circles represent the experimental data, vertical lines showing the limit of experimental accuracy. The solid and broken curves represent theoretical plots (for details see reference) [70B9].

In principle, the reaction cross section not only depends on the relative translational energy, but also on individual reactant and product quantum states. Its sole dependence on E in the simplified effective expression (equation (A3.4.82)) already implies unspecified averages over reactant states and sums over product states. For practical purposes it is therefore appropriate to consider simplified models for tire energy dependence of the effective reaction cross section. They often fonn the basis for the interpretation of the temperature dependence of thennal cross sections. Figure A3.4.5 illustrates several cross section models. 

The ideal-gas-state heat capacity Cf is a function of T but not of T. For a mixture, the heat capacity is simply the molar average X, Xi Cf. Empirical equations giving the temperature dependence of Cf are available for many pure gases, often taking the form... 

In order to study the vibrational properties of a single Au adatom on Cu faces, one adatom was placed on each face of the slab. Simulations were performed in the range of 300-1000"K to deduce the temperature dependence of the various quantities. The value of the lattice constant was adjusted, at each temperature, so as to result in zero pressure for the bulk system, while the atomic MSB s were determined on a layer by layer basis from equilibrium averages of the atomic density profiles. Furthermore, the phonon DOS of Au adatom was obtained from the Fourier transform of the velocity autocorrelation function. ... 

Figures 12-17 and 12-18 show the temperature dependencies of the mobility in a hopping system with a Gaussian DOS of variance <7=0.065 eV as a function of the relative concentration c of traps of average depth ,=0.25 eV and as a function of the trap depth E, at a fixed concentration < =0.03, respectively. For c=0...

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