We consider a system composed of a monodisperse charge-stabilized colloidal
suspension in the presence of monovalent salt, separated from the pure
electrolyte by a semipermeable membrane, which allows the crossing of solvent,
counterions, and salt particles, but prevents the passage of polyions. The
colloidal suspension, that is in a crystalline phase, is considered using a
spherical Wigner-Seitz cell. After the Donnan equilibrium is achieved, there
will be a difference in pressure between the two sides of the membrane. Using
the functional density theory, we obtained the expression for the osmotic
pressure as a function of the concentration of added salt, the colloidal volume
fraction, and the size and charge of the colloidal particles. The results are
compared with the experimental measurements for ordered polystyrene lattices of
two different particle sizes over a range of ionic strengths and colloidal
volume fractions.Comment: 8 pages, 4 Postscript figures, uses multicol.sty, to be published in
European Physical Journal