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The contribution from freely rotating atoms to the intensity of electron scattering by gaseous molecules is obtained by means of an asymptotic evaluation of an integral, using the saddle point method. It is possible now to estimate the effect of the approximation in using the Debye formula, which is a specialization of the derived series, and, if desired, to obtain a higher degree of accuracy. Two cases are considered numerically

The Calculation of the Contribution of Freely Rotating Groups to Electron Scattering by Gases