WebJan 6, 2024 · Flory's characteristic ratio (C ∞) is the most commonly used parameter to evaluate chain flexibility of flexible polymer chains. It is defined in Equation (1) as [ 2 , 3 ]: (1) C ∞ = lim n → ∞ < r 2 > 0 n l 2 where < r 2 > 0 is the unperturbed mean square end-to-end distance of the polymer chain, n is number of bonds in the backbone ... http://rasayanjournal.co.in/vol-4/issue-2/1.pdf
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WebJan 24, 2024 · Flory characteristic ratio, and N, the number of links per chain, can be calculated by: N = 2 M c. M r, (7) where M. r. is the molecular weight of the repeat unit. Finally, combining all the ... WebThe characteristic ratio is the conventional measure of short-range interactions, although, direct measurement of the persistence length is probably a more appropriate description … greekmythology.com hercules
Hindered rotation model for flexible polymers: deriving …
WebJan 26, 2024 · where ε is the correlation length, v 2, s is the volume fraction of the swollen polymer, C n is the Flory characteristic ratio, M r is the molecular weight of the repeat unit, and M c is the molecular weight between crosslinks . Webangles occur and mathematical developments lead to introduce a characteristic ratio C ... The above theories developed by Flory were generalized to a universal power law: (8) R ~ Nn Where n is the scaling exponent. n = 0.5 for a theta-solvent (excluded volume = 0: the chain adopts the same conformation as in the WebDec 1, 2024 · The mesh size for the highly swollen hydrogels is calculated by the following equation [51]: (7) ξ = Q 1 / 3 C n NL 2 1 / 2 where, ξ is the mesh size, C n is the Flory characteristic ratio [105, 106] of the polymer, L is the length of the bond along the polymer backbone. Q is the volumetric swelling ratio of the hydrogel, N is the number of ... flower bed design ideas new home