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Table 4 Physico-chemical parameters of mixed micelles

From: Interactions between selected bile salts and Triton X-100 or sodium lauryl ether sulfate

Physico-chemical parameters Equations
The critical micelle concentration of ideal mixtures (cmcid) according to Clint [30] cmc id 1 c m c i d = i α i c m c i (1)
The mole fraction of the more hydrophobic surfactant in the ideal mixed micelle (xid ), according to Motomura[31]: x id x i d = c m c 2 α c m c 2 α + c m c 1 ( 1 - α ) (2)
The mole fraction of the more hydrophobic surfactant in the real mixed micelle according to Rubingh [32] x 1 x 1 2 ln ( c m c e x α / c m c 1 x 1 ) ( 1 x 1 ) 2 ln [ c m c e x ( 1- α ) / c m c 2 ( 1-x 1 ) ] (3)
The β interaction parameter, according to Rubingh [32] β β= ln ( c m c e x α c m c 1 x 1 ) ( 1 - x 1 ) 2 (4)
  1. α i the mole fraction in the solution of component i,
  2. cmc i the experimentally obtained cmc of component i.
  3. cmc 1 the experimentally obtained cmc values of the more hydrophobic surfactant (TRX or SLES)
  4. cmc 2 the cmc of D, C or OD
  5. cmcex the experimentally obtained cmc values of investigated binary systems
  6. α the mole fraction of the more hydrophobic surfactant in the solution (TRX or SLES)