Electrical conductivity of binary mixtures near the critical point

TLDR: In this article, the electrical conductivity σ of several liquid mixtures was measured near their respective critical points, and it was shown that the singularity could be characterized by a critical exponent ϑ=0.70+0.15−0.10.

Abstract: The electrical conductivity σ of several liquid mixtures was measured near their respective critical points. The systems studied were pure phenol–water, KCl‐doped phenol–water, and isobutyric acid–water. The measurements spanned the reduced temperature range 10−5≲e≲10−2, where e≡ (T‐Tc)/Tc. All systems clearly showed the existence of a singular contribution to the conductivity. A least‐squares fit of the data to the equation, (σ‐σc)/σc∝eϑ+ background terms, showed that the singularity could be characterized by a critical exponent ϑ=0.70+0.15−0.10. A possible explanation of this singularity is offered which uses percolation theory in the mean field limit. This percolation approach yields ϑ=2β, in accord with our own observations. The exponent β (?1/3) characterizes the shape of the coexistence curve.