Parameter

Homogeneous model

Heterogeneous model



Matrix

Ionexchanger

Spheres

Matrix

Ionexchanger


 
TiO_{2}HZD2

TiO_{2}HZD7
  
TiO_{2}HZD2

TiO_{2}HZD7


ϵ, \overline{\mathit{\u03f5}}

0.23

0.29

0.46
 






S, m^{2} kg^{−1}

820

1.05 × 10^{5}

2.09 × 10^{5}









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





\mathit{S}\frac{\mathit{\u03f5}}{{\mathit{\u03f5}}_{\mathrm{p}}}, \mathit{S}\frac{\overline{\mathit{\u03f5}}}{{\mathit{\u03f5}}_{\mathrm{p}}}, m^{2} kg^{−1}







I
 
7.77 × 10^{5}

2.27 × 10^{5}

II

8,176

3.06 × 10^{4}

3.88 × 10^{4}

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)

 ^{a}Experimental values identified according to pore size distributions are given in brackets.
 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 \frac{\mathit{dV}}{\mathit{d}\left(log\mathit{r}\right)}=2.3\mathit{r}\frac{\mathit{dV}}{\mathit{dr}}, the peak area gives the pore volume caused by each type of particles.