Schultz Flory distribution

Schrock alkylidyne catalysts, 26 948-949 Schrodinger s equation, 16 734-735 Schultz-Flory distribution, 20 156 Schultz-Flory equation, 17 714 Schulze—Hardy rule, 7 289, 10 121 Schweizer, M. E., 11 248 Schwenzfeier process, 3 641 Science... 

If aU propagation rate coefficients are equal and all termination rate coefficients are equal, we can obtain a simple expression for the chain length distribution, called the Schultz Flory distribution... 

Figure 2 Heaviest alcohols (wt%) vs. C2+OH (wt%) for a standard, straight-line Schultz-Flory distribution.

FIG. 2.3 Distribution of molar mass in a polymer with a Schultz-Flory distribution with Mn Mw Mz — 1 2 3. 

The fractionation effect occurring in polydisperse samples is shown more explicitly in fig. 5.30. The theoretical computations (left) were performed with the SF model, assuming a Schultz-Flory distribution with M /M = 2.052 ). The experiments apply to polydisperse PS adsorbing from CCI4 on SIOj (right) ). In both cases a rather sharp fractionation occurs, with the long chains (the "winners") on the surface and the short ones (the "losers") in the solution. It... 

Figure 5.30. Adsorption fractionation of a polydisperse sample as calculated from the SF model (a) and as measured by gel permeation chromatography (b))). The calculations apply to a Schultz-Flory distribution with = 2.05 ), the experiments to the...

Argonne National Laboratory, 137 aromatics, 477 Arrhenius equation, 60 ART. See advanced refining technologies ASF. See Anderson-Schultz-Flory distribution model ash... 

Under ideal condition, when an isothermal CSTR is operating at steady state (SS) in a totally micro-mixing condition, the PS produced will be homogeneous having a perfect 2.0 polydispersity (the Schultz-Flory distribution). Deviations from ideality have been theoretically studied by operating CSTR processes under non-steady state conditions with forced periodic operation [70]. The effects of an independent sinusoidal forcing of the monomer and the initiator feed concentrations results in theoretical control of the polydispersity. 

This is commonly referred to as the Schultz-Flory distribution [P.J. Flory, J. Am. Chem. Soc., 58, 1877 (1936)] and is characteristic of random chain addition... 

Polymer coupling Schultz-Flory distribution (3.1) Much broader than Schultz-Flory (3.2) Between 3.1 and 3.2 (3.3)... 

FTS produces a wide distribution of products. Conventional catalysts typically give an Anderson-Schultz-Flory distribution of products, hence they are generally non-selective for specific products. Therefore, the development of highly active and selective catalysts has been a key goal. 

Figure 1.13 Theoretical chain length distribution curves based on the Schultz distribution O the Schultz-Flory distribution. Both distributions have X = 50.

In the first stage, ethylene is oligomerized to give a Schultz-Flory distribution of linear olefins in the range C4 to C20. The catalyst is a soluble nickel complex formed by the reaction of bis(cyclo-octadienyl) nickel with a phenyl or cyclohexyl-substituted phosphine derivative of the type R2PCH2COO , in bu-tanediol solution. When the ethylene is removed, the products separate as a hydrocarbon phase, and the catalyst solution can then be recycled. 

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