. Author manuscript; available in PMC: 2014 Jan 23.

Published in final edited form as: Nonlinearity. 2013 Sep 23;26(10):2899–2922. doi: 10.1088/0951-7715/26/10/2899

Table 2.

A comparison of the Debye length λ_D and the ionic size-modified Debye length λ̂_D for a few systems of ionic solutions. The diameter of an ion includes that of a water molecule (hydration shell). Concentrations mean bulk concentrations.

Ionic systems	Diameters of ions (Å)	Concentrations (M)	λ_D(Å)	λ̂_D(Å)
Cl⁻, Na⁺	6.37, 4.79	0.1, 0.1	9.715	9.847
Cl⁻, K⁺	6.37, 5.51	0.1, 0.1	9.715	9.763
Cl⁻, Ca²⁺	6.37, 4.75	0.2, 0.1	5.609	5.701
Cl⁻, Na⁺, K⁺	6.37, 4.79, 5.51	0.2, 0.1, 0.1	6.870	6.970
Cl⁻, Na⁺, Ca²⁺	6.37, 4.79, 4.75	0.3, 0.1, 0.1	4.858	4.974
Cl⁻, Na⁺, K⁺, Ca²⁺	6.37, 4.79, 5.51, 4.75	0.4, 0.1, 0.1, 0.1	4.345	4.449
Cl⁻, K⁺, Ca²⁺, Al³⁺	6.37, 5.51, 4.75, 4.10	0.6, 0.1, 0.1, 0.1	3.072	3.172