Abstract
The nonlinear Thomas-Fermi-Dirac equation is solved by a variational method for the positive and negative point charges in silicon, germanium and diamond. With the parameters determined, approximate analytic form is presented for the spatial dielectric function. Comparison with numerical result is indicated.
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Chandramohan, D., Balasubramanian, S. Analytic form of Thomas-Fermi-Dirac dielectric function for Si, Ge and diamond by variational method. Z. Physik B - Condensed Matter 79, 181–184 (1990). https://doi.org/10.1007/BF01406582
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DOI: https://doi.org/10.1007/BF01406582