Joswiak Mark N, Duff Nathan, Doherty Michael F, Peters Baron
†Department of Chemical Engineering and ‡Department of Chemistry and Biochemistry, University of California, Santa Barbara, California 93106, United States.
J Phys Chem Lett. 2013 Dec 19;4(24):4267-72. doi: 10.1021/jz402226p. Epub 2013 Dec 3.
Classical nucleation theory is notoriously inaccurate when using the macroscopic surface free energy for a planar interface. We examine the size dependence of the surface free energy for TIP4P/2005 water nanodroplets (radii ranging from 0.7 to 1.6 nm) at 300 K with the mitosis method, that is, by reversibly splitting the droplets into two subclusters. We calculate the Tolman length to be -0.56 ± 0.09 Å, which indicates that the surface free energy of water droplets that we investigated is 5-11 mJ/m(2) greater than the planar surface free energy. We incorporate the computed Tolman length into a modified classical nucleation theory (δ-CNT) and obtain modified expressions for the critical nucleus size and barrier height. δ-CNT leads to excellent agreement with independently measured nucleation kinetics.
当使用平面界面的宏观表面自由能时,经典成核理论的准确性 notoriously 欠佳。我们采用有丝分裂方法研究了300 K下TIP4P/2005水纳米液滴(半径范围为0.7至1.6 nm)表面自由能的尺寸依赖性,即通过将液滴可逆地分裂成两个子簇来进行研究。我们计算出托尔曼长度为 -0.56 ± 0.09 Å,这表明我们所研究的水滴表面自由能比平面表面自由能大5 - 11 mJ/m²。我们将计算得到的托尔曼长度纳入修正的经典成核理论(δ-CNT),并得到了临界核尺寸和势垒高度的修正表达式。δ-CNT与独立测量的成核动力学结果吻合得非常好。