Schultz-Flory equation

The olefin distribution in the catalytic processes, on the other hand, tends to foUow the Schultz-Flory equation, where equals the number of moles of olefins having carbon number N, X equals the moles of olefins having two carbon numbers lower, andis a constant depending on the reaction conditions can range from 0.4—0.9 but usually equals 0.6—0.8. 

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... 

In order to determine the route of degradation, relationships have been developed relating DP to time. The Schultz-Flory equation (Equation 5) was developed to describe random chain scission. 

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

The molecular weight distribution can be calculated by solving the mass balance equations for monomer(s), initiator (catalytic sites), and polymeric species with different chain lengths. When quasisteady state assumption is applied to live polymers or propagating active centers, the molecular weight distribution of live polymers is often represented by the Schultz-Flory most probable distribution. However, the calculation of the chain length distribution of dead polymers is in general quite complicated. For some special cases such as... 

Schultz and Flory have developed, starting from the FH model and Equation 16.41, the following expression, which relates the critical solution temperature (CST), with the theta temperature and the polymer molecular weight ... 

Schultz T, Sundmacher K (2005) Rigorous dynamic model of a direct methanol fuel cell based on Maxwell-Stefan mass transport equations and a Flory-Huggins activity model formulation and experimental validation. J Power Sources 145 435 62... 

Notice that equation 3 reduces to Flory-Schultz s most probable distribution upon integration over all copolymer compositions, ie integrating y from — oo to... 

Molecular weight distribution of oligomers in the range between the narrow (Poisson) and the most probable (Flory) distribution can be described by the G -distribution of Schultz, which can be analytically expressed by equation... 

For the larger ring sizes, both propagation and depropagation must be taken into account (Equation 1.3b), and a certain measurable concentration of the unreacted monomer appears when the system comes to thermodynamic equilibrium ([M]e,= 1/Kp = kd/kp)- In this case, the molar mass distribution may be described by the most probable (Flory-Schultz) distribution function [92], for which ... 

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