Jp. Quirk et S. Marcelja, APPLICATION OF DOUBLE-LAYER THEORIES TO THE EXTENSIVE CRYSTALLINE SWELLING OF LI-MONTMORILLONITE, Langmuir, 13(23), 1997, pp. 6241-6248
We have used the Poisson-Boltzmann (PB) theory and DLVO double-layer t
heory together with the hypernetted chain formalism based on the primi
tive model for electrolyte solutions to examine recently published res
ults for extensive crystalline swelling of Li-montmorillonite as revea
led by d(001) spacings over the pressure range 0.05-0.9 MPa and the co
ncentration range 1-10(-4) M LiCl. The analysis based on Langmuir's us
e of elliptical integrals reveals that the theory satisfactorily predi
cts surface separation over the range 18-120 Angstrom and that the DLV
O theory, with a 5.5 Angstrom Stern layer, indicates Gouy plane potent
ials ranging from -58 to -224 mV over the concentration range 0.1-10(-
4) M LiCl and a constant Gouy plane charge of 0.038 Cm-2, which is 30%
of the crystal lattice charge. The anisotropic hypernetted chain (HNC
) analysis, also based on lattice charge, satisfactorily predicts pres
sure-distance relationships over the range of concentrations. There is
no evidence for the operation of the ''secondary hydration force'' at
a surface separation of 18 Angstrom.