On the Surface Heat of Charging

Abstract

Calculation of the surface heat of charging for pure metals, for oxide coated metals and for monatomic films.—Two methods are pointed out for calculating the theoretically necessary reversible heat development or absorption accompanying the charging of the surface of a conductor. One method depends on a new relation ${\eta }_{s1\mathrm{}}-{\eta }_{s2\mathrm{}}=kT\ln \left(\frac{A_1}{A_2}\right)+\epsilon P_{21}$ between the surface heats, ${\eta }_s$, of the two surfaces, the $A\text{'}\mathrm{s}$ of electron emission equations of the type $i=A{T}^2{\epsilon }^{-\frac{b}{T}}$ and the Peltier heat at the interface between the conductors. The other method consists of a comparison of the cooling effect of electron emission and the latent heat calculated from the temperature variation of emission. Experimental evidence points to ${\eta }_s=0\mathrm{}$ (nearly), $A=60.2\mathrm{}$ amps/${\mathrm{cm}}^2$ ${\mathrm{deg}}^2$ (nearly) for all pure metals. Oxide coated filaments present a difficulty. For monatomic films the first method gives appreciable values of ${\eta }_s$ and experimental data for use in the second method is lacking.