Chemical Physics ( IF 2.0 ) Pub Date : 2017-11-13 , DOI: 10.1016/j.chemphys.2017.11.007 Nikolay V. Alekseechkin
The classical Kelvin formula for the equilibrium vapor pressure over a droplet of radius R is extended to small radii and vapor non-ideality, from where the limiting supersaturation condition is obtained by relating the point R=0 to the value of limiting (spinodal) supersaturation of vapor. The analysis of different dependences of the Tolman length on radius, δ(R), obeying this condition suggests that (i) the value of δ(0) is positive and the function δ(R) decreases with increasing radius; (ii) the curvature effect (the dependence of surface tension on radius) in the nucleation region is determined by the value of δ(0). At the same time, this effect is weakly sensitive to the form of the function δ(R) and insensitive to its asymptotic value δ∞ .
中文翻译:
托尔曼长度和蒸气的极限过饱和
半径为R的液滴上的平衡蒸气压的经典开尔文公式扩展到小半径和蒸汽非理想状态,从中通过将点R = 0关联起来获得极限过饱和条件达到蒸汽的极限(尖峰)过饱和度的值。托尔曼长度对半径δ(R)的不同依赖性的分析,服从该条件表明(i)δ(0)的值为正且函数δ(R)随着半径的增加而减小;(ii)成核区域的曲率效应(表面张力对半径的依赖性)由δ(0)的值确定。同时,此效应对函数δ(R)的形式微弱敏感并且不受其渐近值δ ∞ 。