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We use experimental and simulation data from the literature to infer fivecharacteristic lengths, denoted $\xi_s$, $\xi_f$, $\xi_\Pi$, $\xi_\phi$, and$\xi_D$ of a semidilute polymer solution. The first two of these are defined interms of scattering from the solution, the third is defined in terms of osmoticpressure, the fourth by the spatial monomer concentration profile, and the lastby co-operative diffusion. In a given solution the ratios of any of these fivelengths are expected to be universal constants. Knowing these constants thusallows one to use one measured property of a solution as a means of inferringothers. We calculate these ratios and estimate their uncertainties forsolutions in theta as well as good-solvent conditions. The analysis isstrengthened by use of scattering properties of isolated polymers inferred fromcomputer simulations.Comment: 15 pages(pdf), to be submitted to Macromolecules or J. Chem. Phy

Universal Ratios of Characteristic Lengths in Semidilute Polymer Solutions