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Table 2 Parameters of globular model for the matrix and ion exchanger layer

From: Composite inorganic membranes containing nanoparticles of hydrated zirconium dioxide for electrodialytic separation

Parameter Homogeneous model Heterogeneous model
  Matrix Ion-exchanger Spheres Matrix Ion-exchanger
   TiO2-HZD-2 TiO2-HZD-7    TiO2-HZD-2 TiO2-HZD-7
ϵ, ϵ ¯ 0.23 0.29 0.46   - - -
S, m2 kg−1 820 1.05 × 105 2.09 × 105 - - - -
ϵ p - - - I - 0.03 0.42
II 0.02 0.26 0.04
III 0.21   
Packing CFC or HXG CBC SC I - CBC SC
II CFC or HXG
III - -
S ϵ ϵ p , S ϵ ¯ ϵ p , m2 kg−1 - - - I   7.77 × 105 2.27 × 105
II 8,176 3.06 × 104 3.88 × 104
III 201 - -
r g , nm 859 7 4 I - 5 3
II 86 23 20
III 3,500 - (≈400)
r n a, nm 133 (204) 1 (≤1) 1 (≤1) I - 1 (≤1) 1 (≤1)
II 13 (8) 5 (8) 8 (4)
III 542 (204) - (190)
r c a, nm 355 (1,730) 2 (2) 2 (2) I - 2 (2) 2 (2)
II 36 (39) 9 (8) 13 (6)
     III 1,449 (1730) - (331)
  1. aExperimental values identified according to pore size distributions are given in brackets.
  2. Differential distributions of pore volume are given in Figure 7. The r values are represented as logr; the peaks are symmetric. Thus, the plots can be resolved by Lorentz functions. Since dV d log r = 2.3 r dV dr , the peak area gives the pore volume caused by each type of particles.