Relationship between molecular weight and

Figure 8.6. Relationship between molecular weight and zero shear rate viscosity for melts of linear...

Effros and Mason showed an apparent inverse relationship between molecular weights and rates of in vivo lung clearance of molecules of different sizes, both in log scales [93], A similar relationship has also been found in... 

Another very special feature of these polymers is the relationship between molecular weight and melt viscosity. For linear polymers, the increase in melt viscosity with molecular weight is linear with a transition to a 3.4 power law when the molecular weight reaches the critical mass for entanglements, M. For hyperbranched polymers, the increase in viscosity follows a different curve it is less pronounced and levels off at higher molecular weights [117] (Fig. 11). 

What is noticeable is that the compounds are of low molecular weight, however, there is no simple relationship between molecular weight and percentage absorbed, probably indicating that shape and possibly flexibility are also of importance. Compounds such as propranolol (log D74, 0.9) which are related to those in Table 3.1,... 

For most polymers there is a definite relationship between molecular weight and solution viscosity. The viscosity method of molecular-weight determination... 

It is worth noting at this point that Hamielec et al. ( ) have defined a complex polymer as any polymer not having a unique relationship between molecular weight and molecular size. This is a very useful definition although it can sometimes be too restrictive (e.g., in describing a "complex polymer" for detection or for nonsize exclusion mechanisms). 

The work discussed in this article serves to illustrate the applicability of gel chromatography to a wide variety of carbohydrates. The technique can be used not only as a means of fractionation but also, provided that the relationship between molecular weight and such other molecular parameters as size and shape remains constant, as a method of estimating the molecular weights of polysaccharides. Often, information derived from gel chromatography has proved useful in structural elucidation. 

It was predicted that the relationship between molecular weight and current should be given by the following expression if the system contained the living polymer. 

Relationship between Molecular Weight and Organic Sulfur in Sulfur-Rich Sedimentary Organic Matter... 

TABLE III Relationship between Molecular Weight and Hydrodynamic Diameter Estimated Using Intrinsic Viscosity Measurements at 25°C for Essentially Monodisperse PEGs... 

Linear increases of intrinsic viscosity, inherent viscosity, dilute solution viscosity (DSV), Mw, Mn or Mv on monomer conversion are reported in many studies. For example, Wilson emphasized the unique character of Nd-based catalysts in comparison to conventional transition-metal systems in the following terms the typically linear relationship between molecular weight and conversion of the Nd-based polymerization of BD indicates a quasi-living... 

A simple way to determine the relationship between molecular weight and intensity of scattered light is to recast Equation (4.4) by defining an optical constant K using Equation (4.5) and Ro, the Rayleigh factor (Equation (4.6)). 

Figure 26. PMMA/PS/S phase diagram indicating various relationships between molecular weight and composition of PMMA and the dispersed particle size...

For linear polymers, the general relationship between molecular weight and glass transition temperature is described as (Fox and Flory 1950) ... 

All chains grow uniformly. This is commonly evidenced by a linear relationship between molecular weight and conversion. 

Figure3.13 Typical relationship between molecular weight and elution volume of polymers on a size-exclusion column. Adapted from Miller (1988).

Onogi, D., T. Masuda, and N. Miyanaga Relationship between molecular weight and concentration determining the viscosity of concentrated polymer solutions. International Symposium on Macromolecular Chemistry Preprints, p. VIlI-223 (1966). 

How can the relationship between molecular weight and microhardness seen on Fig. 4.17 be explained ... 

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