Dynamic Surface Tension of Aqueous Surfactant Solutions

Adsorption Properties of Novel Gemini Surfactants with Nonidentical Head Groups

“…[7]- [9] are multiplied by a prefactor 2. The Joos limit is the equation most commonly employed to interpret experimental data (28), while the Hansen equation appears mainly in theoretical studies (29). Recently it was shown by Berg et al (30) that the Hansen limit correctly describes the Ward and Tordai equation in the limit of long times, hence both equations were employed here to analyze the DST data.…”

Amphiphilic derivatives of dextran: Adsorption at air/water and oil/water interfaces

“…Apart from barriercontrolled mechanisms, other models have been proposed that assume an interfacial aggregation or reorientation of the surfactant at the interface [42,43]. Filippov used a rather different formalism for the description of dynamic surface tension [44,45]:…”

Diffusion-Controlled Adsorption at the Liquid–Air Interface: The Long-Time Limit

“…The Joos limit is the equation most commonly employed to interpret experimental data (5-8). Although the Hansen limit has also been used to analyze surface tension measurements (9), it most often appears in theoretical studies (10)(11)(12). While both results exhibit the same t −1/2 dependence, the slope of the Joos limit is 0.5π times larger than the slope of the Hansen limit.…”