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Wiedemann-Franz Law

from Tikalon Blog by Dev Gualtieri [alt+shift+b] in science

Science is most useful when it makes predictions. Predictions are based on theory, and one problem with most theories in materials science is that they are based on data that might not exist for all of the intended class of materials. Simple rules were developed to remedy this lapse, one of which is Trouton's rule, developed by Irish physicist, Frederick Trouton, that states that the molar entropy of vaporization for most materials is quite close to 85 J/(mol-K) at their boiling points. Another correlation between two material properties is so precise, that it's known as a law rather than a rule. This is the Wiedemann-Franz law relating electrical conductivity and thermal conductivity. This law is named after German physicists, Gustav Wiedemann and Rudolph Franz, who discovered in 1853 that the ratio of thermal conductivity to electrical conductivity was approximately constant for different metals at the same temperature. Danish physicist, Ludvig Lorenz, deduced the proportionality constant in 1872. The Wiedemann-Franz law gets its validity from the fact that in most cases both heat and electric current are transported by free electrons in metals. Measurement of electrical conductivity of solids and liquids is somewhat easy, but thermal conductivity measurements are much more difficult. That's the reason that the Wiedemann-Franz law hasn't been tested over an extended range of temperature. A recent open access paper published in Physical Review Letters describes a differential radiometry technique used to measure thermal conductivity at very high temperatures. It was used to make the first direct thermal conductivity measurement for tungsten at its melting point, 3,695 K. The experiment validated the Wiedemann-Franz law in tungsten even into its molten state.
17th Jun 2024

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