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Citation: YAN Hong, WANG Xiao-Song, ZHU Ru-Zeng. Derivation of the Kelvin Equation[J]. Acta Physico-Chimica Sinica, ;2009, 25(04): 640-644. doi: 10.3866/PKU.WHXB20090422 shu

Derivation of the Kelvin Equation

1.
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China

Received Date: 1 December 2008
Available Online: 23 February 2009

The exact Kelvin equation is deduced from the equilibrium condition of liquid drops. It is easily translated into the classical macroscale expression. The relationship between surface tension and curvature radius is a key point in microscale. Use of the Tolman equation allows us to obtain formulae for incompressible liquid drops and this relates the curvature radius to saturation vapor pressure, vapor density, and vapor molar volume. The Kelvin equation for a compressible liquid is also given while the compression coefficient and the Tolman length are introduced into the expression.
- Kelvin equation,
- Tolman equation,
- Surface tension,
- Saturation vapor pressure,
- Curvature radius
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