Equation Fox-Flory

These researchers have pointed out that the basic principles of polymer physics apply to tackified elastomers, such as natural rubber. Thus the Tg relationship provided by the Fox-Flory equation applies ... 

Much easier, and with higher precision, on-line intrinsic viscosity measurements are possible. Unfortunately, new problems arise from the insufficiently well known interdependence between g and g. The relationship between the intrinsic viscosity and the radius of gyration is fairly well settled for linear chains [3,71] and is satisfactorily described by the Fox-Flory equation (Eq. 21), but for the branched chains the 0-factor for branched chains may be different. In general one has [49]... 

The glass transition temperature of amorphous multicomponent mixtures can be used to determine the miscibility of the components. If the mixture is miscible, then a single glass transition temperature is usually obtained. Various equations can be used to predict the glass transition temperature of miscible mixtures. Examples include the Gordon-Taylor equation [Eq. (11)] or the Fox-Flory equation [Eq. (12)]. 

Intrinsic viscosity is related to the linear size of the coil R and the molar mass M by the Fox-Flory equation ... 

From the derivation of the Fox-Flory equation, based on the Zimm... 

The intrinsic viscosity of polymers in dilute solutions is an extremely important measure of the coil size, owing to its simplicity and precision. The Zimm model leads directly to the Fox-Flory equation for intrinsic... 

According to the Fox-Flory equation, in a theta solvent, we can have... 

The temperature at a relaxation rate of 1 Hz shows a pronounced dependence on the molecular weight and the molecular architecture (Fig. 21.7). While linear polymers follow the Fox-Flory equation this is not the case for cyclic systems. 

Fig. 12.22 Temperature dependence of the relaxation times of the segmental dynamics (a-relaxation) for the blend system PMMA/PEO at the indicated concentrations solid squares, PMMA solid circles, PEO. The solid lines correspond to fits of the VFT equation to the data of the pure polymers. The dashed lines are due to fits of the LM model with the Kuhn lengths for PMMA as adjustable parameter (1 = 1.62 nm, theoretical value 1.38 run) (Data were taken from reference Mpoukouvalas and Floudas (2008). The concentration dependence of the whole blend was described by the Fox/Flory equations. For details see also reference Mpoukouvalas and Floudas (2008))...

These calculations still assume that the polymer coil in solution is a hard sphere with an even density throughout the sphere and with a fixed boundary to the solvent. For a more realistic discussion of the dimensions of a real polymer coil in solution, the reader is referred to Chap. 8. In particular, the correlation of diameter dy molar mass M and intrinsic viscosity [rj] in Eq. (7.4) is discussed in detail in Chap. 8 in the form of the Fox-Flory equation that correlates the intrinsic viscosity with the radius of gyration Rq of a polymer coil and with the molar mass ... 

Combining the constants yields the so-called Fox-Flory equation ... 

The Fox-Flory equation (Eq. 8.33) in combination with the square root relation of the molar mass (Eq. 8.22) and the calculation of the radius of gyration from the end-to-end distance (Eq. 8.14) allows for a derivation of the [/j]-M-relationship for theta conditions ... 

For non-theta systems, the Fox-Flory equation can be corrected. The intrinsic viscosity [q] can be corrected with an expansion parameter a[ j that has to be determined experimentally ... 

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