Gyration radius root-mean-square

The procedure is obviously a very simple one, but suffers from the fact that the success rate diminishes very rapidly as the pore radius becomes smaller. The root-mean-square radius of gyration of... 

Figure 3. Partition coefficient of freely jointed chains between the bulk solution and a cylindrical pore. The chains have different numbers of mass-points (n) and different bond lengths, and are characterized by the root-mean-square radius of gyration measured in units of the pore radius. See text for details.

For a statistical coil, the product of polymer intrinsic viscosity and molecular weight is directly proportional to the cube of the root-mean-square radius of gyration RG 77137... 

Debye scattering deals with the situation wherein the relative size parameter is large. Since the root mean square radius of gyration of the particle, (s2)1/2, is a... 

An estimation of the local ligand concentration, [N]coii> could be achieved by assuming free movement of the ligands in the interior of a sphere with radius i, the root mean square radius of gyration of the polymer chain ... 

Fig.6 Temperature dependence of z-average root-mean square radius of gyration ((Pg>) and average hydrodynamic radius ( Rh)) of copolymers NIPAM-co-VP/60/5 and NIPAM-co-VP/30/5 in water, where the weight average molar masses are 2.9 x 106 and 4.2 x 106 g/mol, respectively [56]...

Experimental Assessment, The most direct experimental assessment of the persistence length may be obtained from the root-mean-square radius of gyration measured by light scattering. The analytical expression for the unperturbed Rq of a. wormlike chain has been given by Benoit and Doty (5) ... 

A method for calculating observables resulting from incoherent excitation transport among chromophores randomly tagged in low concentration on isolated, flexible polymer chains is described. The theory relates the ensemble average root-mean-square radius of gyration ) of a polymer coil to the rate... 

Due to the sensitivity of electronic excitation transport to the separation and orientation of chromophores, techniques which monitor the rate of excitation transport among chromophores on polymer chains are direct probes of the ensemble average conformation (S). It is straightforward to understand qualitatively the relationship between excitation transport dynamics and the size of an isolated polymer coil which is randomly tagged in low concentration with chromophores. An ensemble of tagged coils in a polymer blend will have some ensemble averaged root-mean-squared radius of gyration,... 

In Equation 14.31 is the position of the aggregate center of mass. The radius of gyration is a root-mean-square radius, which is often a useful point of view. Given Rg, a fractal of N monomers or primary particles obeys... 

Problem 4.18 For the polystyrene sample in Problem 4.17 calculate (a) the second virial coefficient, (b) the root mean square end-to-end distance, and (c) the root-mean-square radius of gyration. 

Several parameters, most of which are interrelated and can be estimated in terms of each other, are utilized to describe the conformational properties of polymer chains [1,2]. These quantities include the steric hindrance parameter a, the characteristic ratio Cx, the persistence length Ip, the statistical chain segment (or Kuhn segment) length lk, the root mean square radius of gyration Rg (often briefly referred to as simply the "radius of gyration"), and the molar... 

The radius of gyration is essentially the root mean-square radius of a macromolecule (Tanford, 1961). Let R be a vector locating the center of mass of a molecule and let r be a vector locating segment i with mass mi. Then by definition... 

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