Differences in shape Thermodynamics of micellization

packing parameter , micelle shape

the shape of surfactant molecule can described surfactant packing parameter,




n

s




{\displaystyle n_{\text{s}}}

(israelachvili, 1976). packing parameter takes account volume of hydrophobic chain (




v

c




{\displaystyle v_{c}}

), equilibrium area per molecule @ aggregate interface (




a

e




{\displaystyle a_{e}}

), , length of hydrophobic chain (




l

c




{\displaystyle l_{c}}

):

n

s


=



v

c




a

e


∗

l

c







{\displaystyle n_{\text{s}}={\frac {v_{c}}{a_{e}*l_{c}}}}

it should noted packing parameter specific surfactant not constant. dependent on various conditions affect each volume of hydrophobic chain, cross sectional area of hydrophilic head group, , length of hydrophobic chain. things can affect these include, not limited to, properties of solvent, solvent temperature, , ionic strength of solvent.