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A paradox in the electronic partition function or how to be cautious with mathematics

E N Miranda

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When the electronic partition functions of atoms or molecules are evaluated in textbooks, only the contribution of the ground state is considered. The excited states' contribution is argued to be negligible. However, a closer look shows that the partition function diverges if such states are taken into account. This paper shows that the blind use of mathematics is the reason behind this odd behaviour.


PACS

05.20.-y Classical statistical mechanics

31.10.+z Theory of electronic structure, electronic transitions, and chemical binding

01.30.M- Textbooks

Subjects

Atomic and molecular physics

Education and communication

Statistical physics and nonlinear systems

Dates

Issue 5 (September 2001)

Received 9 March 2001, in final form 8 May 2001

Published 20 July 2001



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