A Hydrodynamic Invariant of Polymeric Molecules

Abstract

The gamma-ray blazar 1611+343 was observed with polarization VLBI mode at 5 GHz in February 1999. The total intensity (I) VLBI image of the source shows a core-jet structure. The jet bends eastward at ∼ 3 mas south of the core. Four components have been detected from results of fitting, with apparent speeds estimated at 6.7 ± 0.7, 2.5 ± 0.3, 4.5 ± 0.5 h −1 c for three jet components (taking H 0 = 100 h km s −1 Mpc −1 , q 0 = 0.5). The polarization (P ) VLBI image of 1611+343 displays the polarized configuration in the jet. The mechanism of the curved jet is discussed.

Structural and conformational properties of hyperbranched copolymers based on perfluorinated germanium hydrides

“…As is known, the value of (11) may remain unchanged in a wide molecular mass range [35,51,52], even when Flory coefficient Φ in intrinsic viscosity…”

“…For linear flexible chain macromolecules, the mean experimen tal value of A 0 = 3.2 × 10 -10 erg/deg/mol 1/3 ; for long rigid chain macromolecules, A 0 = 3.8 × 10 ⎯10 erg/deg/mol 1/3 [51,52]. For HBPs and dendrimers, parameter A 0 is likewise molecular mass independent, but the values of A 0 are smaller than not only the corresponding val ues for linear polymers but also the theoretical value of A 0 = 2.92 × 10 -10 erg/deg/mol 1/3 for rigid spheres [13-17, 53, 54].…”

Hydrodynamic Properties of “Pseudo‐Dendrimer”

“…The values of hydrodynamic invariant A 0 28, 44, 45 obtained for PCS‐3‐Bu (Table 1) are in a favor of this conclusion. They are lower not only than the theoretical and average experimental magnitudes for linear flexible‐chain polymers ( A 0 = 3.2 × 10 −10 erg · K −1 · mol −1/3 ),27, 44 but also less than the theoretical meaning of A 0 = 2.88 × 10 −10 erg · K −1 · mol −1/3 for hard spheres.…”

Influence of branching regularity on the behavior of hyperbranched polymers in solution

“…For linear flexible-chain polymers, the mean experimental value of A 0 is 3.2 × 10 −17 J K −1 mol −1/3 ; for long rigid-chain macromolecules, A 0 = 3.8 × 10 −17 J K −1 mol −1/3 . 25,33 For irregular hyperbranched polymers and dendrimers, the parameter A 0 is likewise molar-mass-independent but the A 0 values are smaller than both the corresponding values for linear polymers and the theoretical value of A 0 = 2.92 × 10 −17 J K −1 mol −1/3 for hard non-draining spheres. 21,27,34,35 The values determined for A 0 for PCS-Bu are summarized in Table 1.…”

“…can remain unchanged in a wide molar mass range, even when the Flory coefficient Φ in intrinsic viscosity …”