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We present an analytic approximant to the electronic density of an atom in the form of a sum of two Yukawa terms e^-δrr. We use the Thomas-Fermi theory of many-electron atoms to reduce the number of parameters in the approximant to just one. Then, the value of the remaining parameter is obtained by making the atomic energy extreme. Finally, we use the approximant to calculate the energy of lighter atoms. The results are surprisingly good.
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Lima et al. (1980) studied this question.
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