### Abstract

Surface tension and the length δ (distance between the Gibbs surface of tension R_{s} and the equimolar surface R_{e}) of simple liquid droplet (Lennard-Jones and Yukawa) are computed over a wide range of droplet sizes up to about 4×10^{6} molecules. The study is based on the Gibbs theory of capillarity combined with the density-functional approach to gas-liquid nucleation. Since this method provides behavior of the surface tension fully consistent with the tension of the planner surface, the constant in Tolman's equation δ_{∞} can be determined unequivocally from the asymptotic behavior of σ_{s}. Comparison of the tension given by Tolman's equation against the result of exact thermodynamic relations reveals that Tolman's equation is valid only when the droplet holds more than 10^{6} molecules for the simple fluid systems near their triple points, in contrast to the conventional wisdom that Tolman's equation may be applicable down to droplets holding a few hundreds of molecules.

Original language | English |
---|---|

Pages (from-to) | 4063-4070 |

Number of pages | 8 |

Journal | Journal of Chemical Physics |

Volume | 109 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1998 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

## Fingerprint Dive into the research topics of 'Validity of Tolman's equation: How large should a droplet be?'. Together they form a unique fingerprint.

## Cite this

*Journal of Chemical Physics*,

*109*(10), 4063-4070. https://doi.org/10.1063/1.477006