(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the absence of the Pauli principle, the Coulomb force would not be saturated, and the energy of a system containing N atoms would vary as N^(5/3).

Show that a system of 2N atoms would have an energy lower than that of two N - atom systems.

2. Relevant equations

E = c * N^(5/3)

3. The attempt at a solution

E(2N) = c * (2N)^(5/3) = c * 2^(5/3) * N^(5/3)

2 * E(N) = 2 * c N^(5/3)

Since, 2^(5/3) > 2, then obviously E(2N) > 2 E(N), contrary to the what had to be shown. Where's the error in my reasoning?

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# Homework Help: Coulomb force vs. Pauli principle in atoms

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