Zeno line

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The Zeno line is the name given to a line along which the compressibility factor is unity [1]

Z:= \frac{pV}{Nk_BT}=1

Batchinsky law[edit]

The Batchinsky law [2], derived from the van der Waals equation of state, states that:

\frac{\rho}{\rho_B} + \frac{T}{T_B} = 1

where \rho_B is the value of the density obtained by the extrapolating the coexistence curve into the low temperature region beyond the triple point, and T_B is the Boyle temperature, which is a/bR.


  1. D. Ben-Amotz and D. R. Herschbach, "Correlation of the Zeno (Z=1) line for supercritical fluids with vapor-liquid rectilinear diameters", Israel Journal of Chemistry 30 pp. 59-68 (1990)
  2. A. Batschinski "Abhandlungen über Zustandsgleichung; Abh. I: Der orthometrische Zustand", Annalen der Physik 19 pp. 307-309 (1906)

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