Tolman’s length

Here p is the pressure, a is solvent diameter, y is the surface tension in the planar interface limit, and 0(1) provides a correction for the curvature dependence of the surface [16]. 0(1) is also known as Tolman s length. 

It has been suggested recently that a ratio of the excess density (Apd = p" + p - 2p and the difference between the densities of the coexisting phases (p"-p ) can be related to Tolman s length ( ) and the thickness of interface (2 as... 

Hence, the crossover Tolman s length in polymer solutions reads... 

Since f = 0326 and 0.630, in the critical regime Tolman s length diverges at the critical point with an amplitude increasing with an increase of as... 

For typical ro = 0.2nm and n =l0, the radius of gyration is about 20nm and Tolman s length at ATI 10 " reaches the absolute value of about 100 nm, while the thickness of the interface is about a micron. More remarkably, in the polymer regime, even not very close to the tricritical phase separation (e.g., about 3 K away from the theta temperature, Ar = 10 ), Tolman s length for the polystyrene-cyclohexane solution is already mesoscopic, being about 50 nm, following the width of the interface of about 100 nm. In these conditions, as follows from eq 7.91, for a polymer-rich droplet with the radius 500 nm, the... 

Figure 7.9 Dimensionless Tolman s length -3/ro as function of (Tc-T)/Tc exhibiting crossover between the critical and polymer regimes, calculated from eq 7.92, for a polymer-rich droplet with the degree of polymerization nr,= l0 ...

Anisimov MA. (2007) Divergence of Tolman s length for a droplet near the critical point. Phys Rev Lett 035702. 

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