Table 4.

Physico-chemical parameters of mixed micelles

Physico-chemical parameters	Equations
The critical micelle concentration of ideal mixtures (cmcid) according to Clint [30]	cmcid	$\frac{1}{cm{c}^{id}}=\sum _i\frac{{\alpha }_i}{cm{c}_i}$	(1)
The mole fraction of the more hydrophobic surfactant in the ideal mixed micelle (xid ), according to Motomura[31]:	xid	$x^{id}=\frac{cm{c}_2\alpha }{cm{c}_2\alpha +cm{c}_1\left(1-\alpha \right)}$	(2)
The mole fraction of the more hydrophobic surfactant in the real mixed micelle according to Rubingh [32]	x1	$\frac{x_1^2\text{ln (}cm{c}^{ex}\alpha /cm{c}_1{x}_{\text{1}}\text{)}}{{(1-x_1)}^2\text{ln}[{cmc}^{ex}(\text{1-}\alpha ){\text{/}cmc}_{\text{2}}({\text{1-x}}_{\text{1}})]}$	(3)
The β interaction parameter, according to Rubingh [32]	β	$\beta =\frac{\mathsf{\text{ln (}}cm{c}^{ex}\alpha ∕cm{c}_1{x}_{\mathsf{\text{1}}}\mathsf{\text{)}}}{{\left(1-x_1\right)}^2}$	(4)

α_i the mole fraction in the solution of component i,

cmc_i the experimentally obtained cmc of component i.

cmc₁ the experimentally obtained cmc values of the more hydrophobic surfactant (TRX or SLES)

cmc₂ the cmc of D, C or OD

cmc^ex the experimentally obtained cmc values of investigated binary systems

α the mole fraction of the more hydrophobic surfactant in the solution (TRX or SLES)