Molecular weight distributions Schultz-Flory distribution

While the catalysts and conditions are very different than in ZN (water is a severe poison for ZN but is a product in FT), both produce linear polymers, and the molecular weight distributions are very similar because they are controlled by relative rate coefficients of propagation kp and termination k. If these are nearly independent of molecular weight one obtains the Schultz Flory size distribution in both processes. 

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... 

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... 

This distribution is known as the Schultz-Flory or most probable distribution.2S The moments of the molecular weight distribution are ... 

Most data concerns ethylene oligomerization on the TiCl2/Et Al3 systems. The influence of reaction conditions on selectivity, Schultz-Flory molecular weight oligomer distribution, and yields has been investigated. These factors are catalyst composition—Ti/Al ratio, catalyst concentration, reaction time, and kind of the titanium and aluminum ligand. 

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