The name is absent



Chapter 4

[SiO]⅝(H*)exp(-⅛

[SiOH] =-------------⅛-

[4.23]


ʌ^sɪ-

[АЮ’] =



[4.24]



[¾(H*)exp(-⅛J2


[A1OH^] =


a, (H÷ )exp(- ≤)+—J— [¾ (H * )exp(⅛]2
^A1+-^A1-

[4.25]


[SiO- ] =----------------ʒ-ɪ;--------------r-           [4.26]

1 +      W-¾ + τr∏^[^ (H+)exp(-⅛]2

ʌsi-             ʌ'ɪ ʌsi+^-

[SiOHj] =


Wsi

½


[⅝(H*)exp(-⅛]2


[¾(H∙)exp(-⅛2


[4.27]


Here K(Ka∣i, Ka∣2. Ksm and Ksi2) /V (Wai. Afa and Λ∕b) are equilibrium constants
and surface sites densities, respectively, which can be obtained by fitting with the
experiment data. From Eqs. [4.19] - [4.27], zeta potential ζca∣ can be calculated

from the initial evaluates of K and /V. Parameters estimation was done using

Matlab optimization toolbox. The object function to be determined is ∣∣ <ca∣ - ζe×p Il-
Iteration terminates when ∣∣ ζca∣ - ζe×p ∣∣< tolerance.

Figure 4.18 shows the experiment data and fitted curve of kaolinite zeta

potentials in 0.05 M NaCI brine at different pH. Zeta potential of kaolinite becomes

124



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