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Solution of the Thomas-Fermi problem for continuous, spherical, positive charge distribution

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Abstract

A method to make anab initio calculation of the free energy of small drops of liquid metal is presented. The model chosen involves the replacing of the positive ion cores by an equivalent continuous spherical distribution of charge. The Thomas-Fermi potential is calculated as a starting point for a Hartree-Fock self-consistent field calculation. The results of the Thomas-Fermi calculation are reported as an example of the preliminary calculations.

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References

  1. F. Herman and S. Skillman,Atomic Structure Calculations, Prentice-Hall, Englewood Cliffs, New Jersey (1963).

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  2. J. C. Slater,Quantum Theory of Matter, McGraw-Hill, New York (1968).

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Research supported under NSF Grant #20884.

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Fenn, J.B., Rawlings, P.K. & Reiss, H. Solution of the Thomas-Fermi problem for continuous, spherical, positive charge distribution. J Stat Phys 8, 335–339 (1973). https://doi.org/10.1007/BF01020271

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  • DOI: https://doi.org/10.1007/BF01020271

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