Reply to Tietz' Letter: “Approximate Analytic Solution of the Thomas-Fermi Equation for Atoms” | Zendy

H. Brinkman | Zendy

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Reply to Tietz' Letter: “Approximate Analytic Solution of the Thomas-Fermi Equation for Atoms”

Author(s) -

H. Brinkman

Publication year - 1955

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.1742375

Subject(s) - fermi gamma ray space telescope , physics , statistical physics , quantum mechanics

The approximate solutions do not difier much numerically for intermediate values of 1, while Tietz' solution has a simpler form. For 1+o my solution decreases too fast and Tietz' solution too slowly. Ifowever, the essentiral difierence lies in the fact that my equation is linear, while Tietz' equation is not. Linearity greatly facilitates the application of the method to molecules, as was shown in my treatment of the HrO molecule.s On the other hand, the extension of Tietz' method to molecules seems to be hardly possible.

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