Dependence of molarity

In the [Fe(pyimH)2](BPh4)2 and [Fe(pybimH)2](BPh4)2 complexes of the bidentate ligands pyimH = 2-(2 -pyridyl)imidazole and pybimH = 2-(2 -pyridyl)benzimidazole a significant solvent dependence of molar volumes and activation parameters was observed [90, 91], cf. Table 4. On the other hand, the activation volume for the T2 conversion AF l i solvent independent or... 

Fig. 2.4 Dependence of molar conductivity of strong electrolytes on the square root of concentration c. The dashed lines demonstrate the Kohlrausch law (Eq. 2.4.15)...

Figure 5.30 Temperature dependence of molar ellipticity at 218 nm for liposomes prepared from L-DMPC, L-DPPC (39), and L-POPC (40). Reprinted with permission from Ref. 134. Copyright 1997 by the American Chemical Society.

Integration in dt leads to the exponential dependency of molar concentration on time ... 

The photometric estimation of protein concentration is subject to some special features Proteins interact with each other depending on their concentration and may change their secondary and/or tertiary structure in a concentration- dependent manner (especially denaturation in diluted solutions). These changes affect the absorption of light, i.e., concentration dependence of molar absorption coefficient e therefore, the Beer-Lambert law (eq. e) is not valid over a broad concentration range. 

Various patterns regarding the dependence of molar mass on ftx/ Nd ratios are observed ... 

For catalyst systems for which a maximum in the dependence of molar mass is reported the molar mass maximum is often located at the same nx/ Nd-ratio as the activity maximum. This observation applies to NdzO/TIBA/DIBAC with maxima at ftci/nNd = 2.5-3.0 [160] and to NdzO/TEA/DEAC with a maximum at nci/n d = 2.5 [168]. For the catalyst system Nd OPr /DIBAH/ BuCl a maximum molar mass was obtained at ftci/ Nd whereas the activity maximum was at 3.0 [232]. For Nd OPr /MAO/ BuCl the maximum of molar mass and catalyst activity coincide at a very low ratio of ftci/nNd 0.5 [232]. 

With the MMAO-activated catalyst system Nd( OPr)3/MMAO/halide donor a unique dependence of molar mass on the ratio of ftci/ Nd was obtained. Molar mass steadily decreases with increasing nci/nN(j-ratios (between 0.5 to 2.0) regardless of the type of chlorine source (Et2AlCl, fBuCl and Me3SiCl) [231]. 

For the catalyst system NdV/DIBAH/EASC a rather complex dependence of molar mass on rcci/ Nd-ratios was observed. Further insight comes from an... 

For Nd-based catalyst systems increasing polymerization temperatures result in a considerable reduction of molar mass. As a representative example, the dependence of molar mass (Mv) on polymerization temperature is given for the ternary catalyst system NdV/DIBAH/EASC (Fig. 8). 

The dependence of molar mass on polymerization temperature is exploited for the regulation of molar mass in the large-scale production of BR [81,82]. 

Fig.8 Dependence of molar mass (Mv) on polymerization temperature for the catalyst system NdV/DIBAH/EASC [88]...

In Nd-halide-based binary catalyst systems the dependence of molar mass on ai/ Nd-ratios was studied for various catalyst compositions. In these studies the following catalyst systems were used NdCl3 -3ROH [92], NdCh n L/A1R3 [134], NdC -TBP/TIBA [133], NdCl3 n 2-ethylhexanolate/TEA (n = 1.5 or 2.5) [114] and NdCl3 2THF/TEA [35],... 

The dependence of molar mass or molar mass equivalents on , i/ Nd-ratios was investigated for the following ternary catalyst systems listed in Table 23. 

The dependence of molar mass on the ratio of monomer to catalyst ( m/mnpioneering study on the use of ternary catalyst systems Throckmorton investigated the influence of M/ ce on dilute solution viscosities (DSV) [34], Quite surprisingly, for two catalyst systems (1) Ce octanoate/TIBA/EtAlCl2 and (2) Ce octanoate/DIBAH/HBr DSV decreased with increasing ratios of nu/nce- This observation is not at all understood and is in contradiction with the requirements for a living system. 

For a ternary solution at constant T and P, the composition dependence of molar prop is given by... 

Temperature Dependence of Molar Absorption Coefficient of Iodine Vapor at 520 nm... 

The temperature dependence of molar conductivity, calculated from ionic conductivity determined from complex impedance measurements and molar concentrations, and the VFT fitting curves are shown Figure 5.8. The VFT equation for molar conductivity is... 

The dependence of molar mass on the strain at break can be divided in three different regimes a brittle regime if Mw < 40 kg.mol, a brittle-ductile regime transition for 40 kg.mol < Mw < 100 kg.mol and a ductile regime for Mw > lOOkg.mof. ... 

The [Fe(phen)3]3+ complex dissolved in water is known to behave as a hydrophobic ion, as demonstrated by the ion association with o- and m-benzenedisulfonate and 2,6- and 2,7-naphthalenedisulfonate ions, which was investigated by the conductivity method. Similar hydrophobic properties were also observed for trivalent [Co(phen)3]3+ and [Co(bpy)3]3+ complexes.2 In the present study, the temperature dependence of molar conductivities of [Fe(phen)3]2+, [Co(phen)3]3+, and [Co(bpy)3]3+ as well as the ion association with chloride and perchlorate ions were examined in order to elucidate the effect of the ionic charge on the hydrophobic interactions. 

In Section 3.1.3.1., it was shown that the ideal mixing of components is connected neither with volume contraction nor with volume dilatation. However, in real binary mixtures, positive as well as negative deviations from the ideal behavior can be observed. The dependence of molar volume on composition is usually expressed in the polynomial form... 

Dependence of molar conductivity on concentration for a strong electrolyte the ideal case... 

DEPENDENCE OF MOLAR CONDUCTIVITY ON CONCENTRAHON FOR A WEAK ELECTROLYTE 435... 

The molar yields (mol of products/initial mol of benzene) of products increased with increasing projectile velocity. The composition of products, however, was independent of the projectile velocity. Many structural isomers were identified in the products. Mutual ratios between the structural isomers for each product did not vaiy greatly with projectile velocity. The results at low temperatures were practically the same as those at room temperature with regard to the composition of products, the dependence of molar yields on projectile velocities, and the ratios between structural isomers. 

Fig. 3.3. Dependence of molar area co on n for Frumkin s model obtained for the homologous series of normal alcohols.

The dependence of molar area for the two states of C DMPO molecules on the number of carbon atoms in the hydrocarbon chain is shown in Fig. 3.13. While the minimum area per C DMPO mole (or per molecule) 0)2 is almost independent of n -, the area per mole (or molecule) in the unfolded state co, calculated from the best fit to the experimental data, is increased with the chain length for C,2 and larger tic. It is interesting to note that the area per mole CnDMPO calculated in [36] from the atomic radii and bond lengths for the state with maximum area (see dashed line in Fig. 3.13) agrees well with the data obtained from tensiometry for ii(-> 11. For lower C DMPO homologues the molecule in the unfolded state... 

Fig. 3.13. Dependence of molar area in the states 1 ( ) and 2 ( ) on the number of carbon atoms nc for the C DMPO, dashed line - values estimated from the molecular geometry.

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