Radius of Gyration, Mean Span, and Geometric Shrinking Factors of Bridged Polycyclic Ring Polymers

Zhu, Lijuan; Wang, Xiaoyan; Li, Jianfeng; Wang, Yanwei

doi:10.1002/mats.201600033

Cited by 9 publications

(9 citation statements)

References 93 publications

(293 reference statements)

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“…2 (a) the universal values of the ratio X/2R g in the θ-solvent limit for linear and ring polymers are found to be 1.139 ± 0.005 and 1.250 ± 0.005, respectively. These values are in close agreement with previously reported values of 1.132 and 1.13 for linear chains and 1.253 for rings obtained from BD simulations [71] and analytical theory based on the Gaussian chain model [84]. The universal value of the ratio X R /X L under θ-solvent conditions is found to be 0.780 ± 0.005, which is also in good agreement with the predicted value of 0.796 obtained from the Gaussian chain model [84].…”

Section: Universal Static Propertiessupporting

confidence: 93%

Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents

Santra,

Prakash

2022

Preprint

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Due to their unique topology of having no chain ends, dilute solutions of ring polymers exhibit behaviour distinct from their linear chain counterparts. The universality of their static and dynamic properties, as a function of solvent quality z in the thermal crossover regime between θ and athermal solvents, is studied here using Brownian dynamics simulations. The universal ratio URD of the radius of gyration Rg to the hydrodynamic radius RH is determined, and a comparative study of the swelling ratio αg of the radius of gyration, the swelling ratio αH of the hydrodynamic radius, and the swelling ratio αX of the mean polymer stretch X along the x-axis, for linear and ring polymers, is carried out. The ratio URD for dilute ring polymer solutions is found to converge asymptotically to a constant value as z → ∞, which is a major difference from the behaviour of solutions of linear chains, where no such asymptotic limit exists. Additionally, the ratio of the mean stretch along the x-axis to the hydrodynamic radius, (X/RH ), is found to be independent of z for polymeric rings, unlike in the case for linear polymers. These results indicate a fundamental difference in the scaling of static and dynamic properties of rings and linear chains in the thermal crossover regime.

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Section: Universal Static Propertiessupporting

confidence: 93%

Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents

Santra,

Prakash

2022

Preprint

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“…Extensive study on chemically unfolded proteins found a R 0 value equal to 1.33 28 , whereas the fit of our experimental data gave a R 0 value equal to 0.22, thus divided by six. Such a result can be interpreted by the presence of an average of 6-7 bridges within the polymer 29 , which is coherent considering the PBLG polymer in a coil disordered state, internally connected . e Infrared spectra of CO coordinated at the nanoparticle surface and of peptide bond of the polymer within the assemblies (at 0 eq., 0.05 eq., 0.5 eq., and 1 eq.).…”

Section: Resultsmentioning

confidence: 67%

Bidimensional lamellar assembly by coordination of peptidic homopolymers to platinum nanoparticles

et al. 2020

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A key challenge for designing hybrid materials is the development of chemical tools to control the organization of inorganic nanoobjects at low scales, from mesoscopic (~µm) to nanometric (~nm). So far, the most efficient strategy to align assemblies of nanoparticles consists in a bottom-up approach by decorating block copolymer lamellae with nanoobjects. This well accomplished procedure is nonetheless limited by the thermodynamic constraints that govern copolymer assembly, the entropy of mixing as described by the Flory-Huggins solution theory supplemented by the critical influence of the volume fraction of the block components. Here we show that a completely different approach can lead to tunable 2D lamellar organization of nanoparticles with homopolymers only, on condition that few elementary rules are respected: 1) the polymer spontaneously allows a structural preorganization, 2) the polymer owns functional groups that interact with the nanoparticle surface, 3) the nanoparticles show a surface accessible for coordination.

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“…The difference in the chain size between the linear and the ring polymer topology is conventionally expressed by the shrinking factor. [ 53 ] This geometric factor is most often defined as the ratio of the mean square of the radii of gyration G = ( R g 2 ) r /( R g 2 ) l of the ring and linear chains. For ideal Gaussian chains, G = 0.5.…”

Section: Resultsmentioning

confidence: 99%

“…Besides, one should note that the span‐based shrinking factors show higher values than those based on the radius of gyration. [ 53 ]…”

Section: Resultsmentioning

confidence: 99%

Piston Compression of Semiflexible Ring Polymers in Channels

Cifra

Bleha

2021

Macro Theory & Simulations

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Molecular simulations in nanochannels are used to explore the compression elasticity of ring polymers of stiffness (persistence length) similar to DNA. By combination with the parallel data for linear polymers, the effect of chain topology on their compression behavior is assessed. The results show that the ring polymers are much less bendable at longitudinal compression than the linear analogs. The chain span of linear polymers is continuously reduced at compression, whereas in ring polymers, an abrupt decrease of the span is observed. The simulation data elucidate this phenomenon as the buckling of a ring polymer into the double‐folded hairpin. The shrinking ratio of sizes of the ring and linear chains shows a complex behavior much differing from the existing reports. The force–displacement functions for chains of both topologies at moderate confinement are very well accounted for by the mean‐field Flory scheme. The theory predicts the difference in the mechanical stiffness of the ring and linear polymers in qualitative agreement with the simulation data. These findings are relevant to the compression behavior of semiflexible ring polymers under spatial constraints such as in nanofluidic experiments, disordered media, or cellular environment.

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Radius of Gyration, Mean Span, and Geometric Shrinking Factors of Bridged Polycyclic Ring Polymers

Cited by 9 publications

References 93 publications

Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents

Universality of dilute solutions of ring polymers in the thermal crossover region between $θ$ and athermal solvents

Bidimensional lamellar assembly by coordination of peptidic homopolymers to platinum nanoparticles

Piston Compression of Semiflexible Ring Polymers in Channels

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