Charge Density Dependence of Correlation Length Due to Electrostatic Repulsion in Polyelectrolyte Solutions

1995 ◽  
Vol 28 (7) ◽  
pp. 2472-2475 ◽  
Author(s):  
Koji Nishida ◽  
Keisuke Kaji ◽  
Toshiji Kanaya
Keyword(s):  
Charge Density ◽  
Density Dependence ◽  
Correlation Length ◽  
Electrostatic Repulsion ◽  
Polyelectrolyte Solutions

scholarly journals Bottlebrush polymers in the melt and polyelectrolytes in solution share common structural features

2020 ◽  
Vol 117 (10) ◽  
pp. 5168-5175 ◽  
Author(s):  
Joel M. Sarapas ◽  
Tyler B. Martin ◽  
Alexandros Chremos ◽  
Jack F. Douglas ◽  
Kathryn L. Beers
Keyword(s):  
Neutron Scattering ◽  
Correlation Length ◽  
Salt Concentration ◽  
Polymer Concentration ◽  
Structural Features ◽  
Peak Position ◽  
Correlation Peak ◽  
Grafting Density ◽  
Scattering Measurements ◽  
Polyelectrolyte Solutions

Uncharged bottlebrush polymer melts and highly charged polyelectrolytes in solution exhibit correlation peaks in scattering measurements and simulations. Given the striking superficial similarities of these scattering features, there may be a deeper structural interrelationship in these chemically different classes of materials. Correspondingly, we constructed a library of isotopically labeled bottlebrush molecules and measured the bottlebrush correlation peak position q*=2π/ξ by neutron scattering and in simulations. We find that the correlation length scales with the backbone concentration, ξ∼cBB−0.47, in striking accord with the scaling of ξ with polymer concentration cP in semidilute polyelectrolyte solutions (ξ∼cP−1/2). The bottlebrush correlation peak broadens with decreasing grafting density, similar to increasing salt concentration in polyelectrolyte solutions. ξ also scales with sidechain length to a power in the range of 0.35–0.44, suggesting that the sidechains are relatively collapsed in comparison to the bristlelike configurations often imagined for bottlebrush polymers.

Deformation of sliding charge density wave in Rb0.3MoO3

2002 ◽  
Vol 12 (9) ◽  
pp. 323-324
Author(s):  
D. Le Bolloc'h ◽  
S. Ravy ◽  
P. Senzier ◽  
C. Pasquier ◽  
C. Detlefs
Keyword(s):  
Charge Density ◽  
Correlation Length ◽  
Charge Density Wave ◽  
Density Wave ◽  
Relaxation Times ◽  
X Ray Diffraction ◽  
Electrical Field ◽  
One Dimensional ◽  
High Q ◽  
The One

The correlation length of the charge density wave ordering in Rb0.3, MoO, has been studied by x-ray diffraction under electric field applied along the one-dimensional axis. The (10, 0.25, -5.5) satellite reflection has been measured in 3D, using high Q-resolution available at the ESRF. Under electrical field, the satellite reaches two stable positions depending on the temperature. It can switch from one to another as a function of the temperature and the current with very long relaxation times ($\rm 10^{th}$ of minutes). After several cycling with T and E, the satellite reflection is found to shift in the 3 main directions. The width of the satellite is reduced by a factor of two in the k-direction and an increase of the transverse correlation length is observed in the two others: the ordered domains look elongated, reaching until 5000 Å in the direction of the applied field and around 1OOO Å, in the perpendicular directions.

CHARGE DENSITY INFLUENCE ON MACROSCOPIC DEFORMATION ENERGY

2010 ◽  
Vol 19 (07) ◽  
pp. 1411-1423
Author(s):  
R. A. GHERGHESCU ◽  
D. N. POENARU ◽  
M. RAPORTARU ◽  
B. POPOVICI ◽  
W. GREINER
Keyword(s):  
Potential Energy ◽  
Charge Density ◽  
Density Dependence ◽  
Exponential Model ◽  
Deformation Energy ◽  
Proton Density ◽  
Macroscopic Deformation

A formula describing the proton density dependence on macroscopic deformation energy for different fusion-like shape configurations is derived. As a consequence, the influence of intermediary atomic numbers of fusioning nuclei on the macroscopic deformation-dependent terms of the potential energy in the Yukawa-plus-exponential model is studied. For the same target–projectile pair, at the same distance between their centers, macroscopic fusion barriers differ by energy amounts up to 5 MeV.

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