Polymer volume unit

Hence, the dissociation energy of densely packed clusters (7 per polymer volume unit can be e qiressed as follows [105] ... 

Thus, the statistical segments number per polymer volume unit is equal to [191] ... 

Macromolecules total length L per polymer volume unit is estimated as follows [56] ... 

The value is determined as linear defects length per polymer volume unit (see the Eq. (4.1)). Since in the cluster model a segment included in densely packed regions (crystallites or clusters) is assumed as linear defect (dislocation analog) then value p is determined as follows [3] ... 

Figure 5.25 The dependence of the number of clusters per polymer volume unit on the steric factor p value for EP-2 (1) and EP-3 (2) [99]...

Eor amorphons glassy polymers the equivalent of the degree of crystallinity, K, is the relative fraction

[Pg.497]

Actual polymer repeat units occupy finite volumes and therefore exclude other segments from occupying the same space. 

In molecular weight determinations it is conventional to dissolve a measured mass of polymer m2 into a volumetric flask and dilute to the mark with an appropriate solvent. We shall use the symbol Cj to designate concentrations in mass per volume units. In practice, 100-ml volumetric flasks are often used, in which case C2 is expressed in grams per 100 ml or grams per deciliter. Even though these are not SI units, they are encountered often enough in the literature to be regarded as conventional solution units in polymer chemistry. 

As in osmotic pressure experiments, polymer concentations are usually expressed in mass volume units rather than in the volume fraction units indicated by the Einstein equation. For dilute solutions, however, Eq. (8.100) shows that

partial molar volume of the polymer in solution, and M is the molecular weight of the polymer. Substituting this relationship for (pin Eq. (9.9)gives... 

The cross-link density obtained in this manner (p() is referenced to the swollen polymer volume at the time of compression. For comparison to theory or to similar polymers swollen to different extents, the cross-link density can be redefined in terms of moles of chains per unit volume of dry polymer (p,). This conversion is simply... 

The molar volume of the polymer repeat unit is Vu V, is the molar volume of the solvent, fi, is the volume Fraction of the solvent, and Xi is an interaction term defining how good the solvent is for the polymer. The term X is negative for very good solvents and goes to about 0.55 for the limiting... 

For any given size of mill there is a minimum volume of polymer per unit width of roll, below which no dispersive mixing occurs. Increasing the amount of material above this minimum level increases the high shear zone in the polymer, increasing dispersive mixing. There is an upper limit however, above which a circulatory flow develops at the entrance to the nip region and no further improvement occurs. 

Dielectric polarization is the polarized condition in a dielectric resulting from an applied AC or DC field. The polarizability is the electric dipole moment per unit volume induced by an applied field or unit effective intensity. The molar polarizability is a measure of the polarizability per molar volume thus it is related to the polarizability of the individual molecules or polymer repeat unit. 

Poly(ethylene terephthalate), known by the trade names Mylar, Dacron, and Terylene, is a very high volume polymer—the United States production of PET fiber and plastic was over... 

Tm° represents the melting point in °K. of the pure polycarbonate Tm the melting point of the mixture v is the volume fraction of plasticizer R the gas constant per mole B the constant of interaction between polymer and plasticizer and Vo and Vi the molar volumes of the polymer repeating unit and of the plasticizer,... 

Fig. 4.41 Density profiles calculated using mean-field self-consistent field theory for a PS587PI647 diblock in toluene at room temperature with a polymer volume fraction

The osmotic pressure it of a dilute solution of a monodisperse polymer with molecular weight M is expressed as a power series of polymer mass concentration c (weight of polymer per unit volume of solution) as... 

---