In this paper Prof. Chapman's theory of the ionization of the upper atmosphere by solar radiation has been applied to construct a set of charts giving contour lines of equal ionic density over the surface of the earth. A simple approximate method of solving the fundamental differential equation of the theory by a rapid arithmetical process is described. Charts are drawn for winter, equinox and summer conditions for the values 0.5 and 1 of the parameter σ 0 and the value 150 of the parameter R . A brief comparison of these charts with existing empirical charts is given with a short discussion of its practical and theoretical significance.
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G. Millington (1932) studied this question.