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Original Articles

Semi-empirical Model for the Electrical Conductivity of the Scandium-sodium Iodide Arc Lamp

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Pages 249-254 | Published online: 20 Sep 2013
 

Abstract

A relatively simple model is proposed for the plasma of a 400-watt scandium-sodium iodide arc lamp. The two-zone arc column model comprises a radiant core region of high electrical conductivity and a nonconducting outer region. The radial temperature profile in the core region is obtained by spectroscopic techniques and fit within the experimental uncertainty to a smooth analytic expression characterized by a single, adjustable shape factor. Simple heat conduction is assumed in the outer region. The composite temperature profile is applied to the solution of the electrical conductivity equation with the electron density distribution derived from spectroscopic measurements of the arc lamp plasma composition. The agreement between the calculated electrical conductance and experimental measurement is found to be within six percent.

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