. 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 1.

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 does not include 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⁺	3.62, 2.04	0.1, 0.1	9.715	9.726
Cl⁻, K⁺	3.62, 2.76	0.1, 0.1	9.715	9.720
Cl⁻, Ca²⁺	3.62, 2.00	0.2, 0.1	5.609	5.618
Cl⁻, Na⁺, K⁺	3.62, 2.04, 2.76	0.2, 0.1, 0.1	6.870	6.880
Cl⁻, Na⁺, Ca²⁺	3.62, 2.04, 2.00	0.3, 0.1, 0.1	4.858	4.870
Cl⁻, Na⁺, K⁺, Ca²⁺	3.62, 2.04, 2.76, 2.00	0.4, 0.1, 0.1, 0.1	4.345	4.358
Cl⁻, K⁺, Ca²⁺, Al³⁺	3.62, 2.76, 2.00, 1.35	0.6, 0.1, 0.1, 0.1	3.072	3.085