Dendritic polyelectrolytes revisited through the Poisson–Boltzmann–Flory theory and the Debye–Hückel approximation

2018 ◽  
Vol 20 (4) ◽  
pp. 2693-2703 ◽  
Author(s):  
J. S. Kłos
Keyword(s):  
Flory Theory ◽  
Electrostatic Properties ◽  
Poisson Boltzmann

The conformational and electrostatic properties of a dendritic polyelectrolyte in equilibrium with a reservoir of monovalent salts are investigated using the Poisson–Boltzmann–Flory theory along with the Debye–Hückel approximation.

Dendritic polyelectrolytes as seen by the Poisson–Boltzmann–Flory theory

2018 ◽  
Vol 20 (26) ◽  
pp. 17818-17828 ◽  
Author(s):  
J. S. Kłos ◽  
J. Milewski
Keyword(s):  
Flory Theory ◽  
Electrostatic Properties ◽  
Poisson Boltzmann

The conformational and electrostatic properties of dendritic polyelectrolytes accompanied by counterions are investigated using the Poisson–Boltzmann–Flory theory.

Poisson-Boltzmann model studies of molecular electrostatic properties of the cAMP-dependent protein kinase

1999 ◽  
Vol 28 (6) ◽  
pp. 457-467 ◽  
Author(s):  
Elżbieta Błachut-Okrasińska ◽  
Bogdan Lesyng ◽  
James M. Briggs ◽  
J. Andrew McCammon ◽  
J. M. Antosiewicz
Keyword(s):  
Protein Kinase ◽  
Dependent Protein Kinase ◽  
Electrostatic Properties ◽  
Model Studies ◽  
Camp Dependent Protein Kinase ◽  
Dependent Protein ◽  
Poisson Boltzmann ◽  
Boltzmann Model

scholarly journals Debye-Hückel Free Energy of an Electric Double Layer with Discrete Charges Located at a Dielectric Interface

Membranes ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 129
Author(s):  
Guilherme Volpe Bossa ◽  
Sylvio May
Keyword(s):  
Free Energy ◽  
Double Layer ◽  
Electric Double Layer ◽  
Low Dielectric Constant ◽  
Surface Charges ◽  
Dielectric Interface ◽  
Charge Densities ◽  
Low Dielectric ◽  
Poisson Boltzmann ◽  
The Continuum

Poisson–Boltzmann theory provides an established framework to calculate properties and free energies of an electric double layer, especially for simple geometries and interfaces that carry continuous charge densities. At sufficiently small length scales, however, the discreteness of the surface charges cannot be neglected. We consider a planar dielectric interface that separates a salt-containing aqueous phase from a medium of low dielectric constant and carries discrete surface charges of fixed density. Within the linear Debye-Hückel limit of Poisson–Boltzmann theory, we calculate the surface potential inside a Wigner–Seitz cell that is produced by all surface charges outside the cell using a Fourier-Bessel series and a Hankel transformation. From the surface potential, we obtain the Debye-Hückel free energy of the electric double layer, which we compare with the corresponding expression in the continuum limit. Differences arise for sufficiently small charge densities, where we show that the dominating interaction is dipolar, arising from the dipoles formed by the surface charges and associated counterions. This interaction propagates through the medium of a low dielectric constant and alters the continuum power of two dependence of the free energy on the surface charge density to a power of 2.5 law.

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