Partition coefficient Gaussian chain

Johansson and coworkers [182-184] have analyzed polyacrylamide gel structure via several different approaches. They developed an analytical model of the gel structure using a single cylindrical unit cell coupled with a distribution of unit cells. They considered the distribution of unit cells to be of several types, including (1) Ogston distribution, (2) Gaussian distribution of chains, and (3) a fractal network of pores [182-184]. They [183] used the equilibrium partition coefficient... 

Fig. 2 Partition coefficient K plotted as a function of the radius of gyration Rg relative to the pore radius for a spherical molecule, Gaussian chain, and a rodlike molecule.

Confinement of a Gaussian Chain We leam here how a Gaussian chain changes npon confinement by varions geometries such as a slit, a square tube, and a cylindrical tnbe. It is possible to obtain a formula for the partition coefficient in each of the three geometries. 

The partition coefficient for a cylindrical pore was obtained similarly. Likewise, the partition coefficient was calculated for a rodlike molecule in some simple geometries. Figure 2.63 compares the partitioning of a Gaussian chain and a rodlike molecule in a cylindrical pore of radius The plot of K is given as a... 

Figure 2.63. Partition coefficients A of a Gaussian chain and a rodhke molecule in a cylindrical pore of radius i p as a function of R /R. (From Ref. 29.)...

Figure 2.66. Partition coefficients of a Gaussian chain (solid line) and a real chain (circles) with a radius of gyration in a slit of width d. The data for the real chain were obtained in the computer simulation (From Ref. 5).

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