The dynamics of semi-rigid polymer chains

Thermodynamics of Systems Containing Flexible-Chain Polymers

“…Tanaka et al ( ), Munch et al (1976 have shown that in crosslinked gels, the dynamic scattering spectrum has the Lorentzian form with the relaxation time Such an interpretation is confirmed by the independence of r1/q2 on q2 (Figure 3.42, line l ) , which enables the purely diffusional mode to be distinguished from the internal Gotlib et al, 1986) where B is a constant, different for different models of chain motion: B = 0.822 for Rause's free-draining chain, B = 1.184 for a chain with the preliminary averaged Ozeen tensor corresponding to the hydrodynamic interaction among the chain segments, B = 0.574 for a chain, whose hydrodynamic interaction is considered by Ozeen's tensor. Tsunashima et al (1983a) reported B = 1.06f0.03, which is in good agreement with the value B = 1.184.…”

“…Since the mobility of macromolecules inevitably diminishes with rising concentration (Equation 13), this factor must overcompensate for the thermodynamic one at high concentrations; as a result,, tshe curves D = D(c2) (see Figure 3.34) should be expected to have a maximum at high concentrations cz (Rehage et al, 1970). New ideas on the mechanism of the diffusion mobility of macromolecules in solution and in the condensed state have been put forward within the framework of the scaling approach (see section 4.5 (de Gennes, 1968(de Gennes, , 1976aGotlib et al, 1986) …”

“…point Fat the instant t is introduced (Gotlib et al, 1986) The first mode can be regarded as a pulsation when a coil alternately stretches and To calculate S(<, t ) of a macromolecule, the microscopic density of segments at the…”

“…Experimental data show a better fit to the more rough model with preliminary averaging, as in the case of relaxation time T~ (Equation 102). Different considerations exist on this subject (Stockmayer and Hammouda, 1984;Gotlib et al, 1986), and the question is still under study (Han and Akcasu, 1981;Tsunashima et al, 1983b;Balabanov et al, 1987).…”

“…The parameters of the anisotropic elements of gel structure were determined from scattering depolarization & (Donkersloot et al, 1967;Gouda et al, 1970).…”