Shultz plot

Rg. 6.11 (a) Shultz plot of PEO. UCST (dotted lines) and LCST (solid lines) of homopolymer PEO... 

Rg. 6.14 Molecular-weight dependence of the LCST and UCST (Shultz plot). The critical temperatures are plotted against the reciprocal of DP. The hyper critical point (HCP) and double critical point (DCP) are indicated by arrows. (Reprinted with permission from Ref. [55].)... 

Fig. 122.—A plot of the reciprocal of the critical temperature against the molecular size function occurring in Eq. (7) for polystyrene fractions in cyclohexane (O) and for polyisobutylene fractions in diisobutyl ketone (0). (Shultz and Flory. )...

However, UCST and LCST values of a given polymer/solvent pair depend strongly on the molar mass of the polymer. In the case of monodisperse polymers, this dependency can be described in good approximation by the so-called Shultz-Flory plot (see Refs. 6 and 8) ... 

As it is known, the plots of Fig. 39 allow one to determine the values of intrinsic viscosity [rj] by the extrapolation to the polymer zero concentration c. Another method of [r ] evaluation is Shultz-Blashke Eq. (48). In Table 12, the comparison of [q] values, evaluated by two indicated methods, is adduced for polyarylate F-1 at three testing temperatures and polyamidobenzymidazole [94] at two concentrations of solution in sulfuric acid. As it follows from the data of Table 12, the values [q], calculated according to the Eqs. (47) and (48) showed a good correspondence, that allows one to use Shultz-Blashke equation for [q] values of semirigid- and rigid-chain polymers estimation. 

As opposed to Shultz-Flory s plot (Equation 3.1-246) with 7 c (i.c. phase boundary at the critical temperature) for several polymer fractions, the plot... 

The extrapolation point to the vertical axis in the limit of n oo gives the theta temperature, while the slope of the curve gives the Shultz-Flory constant Such an analysis is called a Shultz-Flory plot. 

The blends in which PS was synthesized with an M lower than 100 kg/ mol are indicated with open dots in Fig. 7.15. These blends showed a significantly lower Tg. The line plotted in this figure indicates the Shultz relation as expressed by Eq. (7.8). Samples with higher molecular weights are indicated with solid dots, and it can be seen that for these samples the experimental Tg fits rather well with the theoretical value. 

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