The energy difference between the lowest electronic state ({ }^{1} S_{0}) and the first excited state ({

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The energy difference between the lowest electronic state \({ }^{1} S_{0}\) and the first excited state \({ }^{3} S_{1}\) of the helium atom is \(159,843 \mathrm{~cm}^{-1}\). Evaluate the relative fraction of the excited atoms in a sample of helium gas at a temperature of \(6000 \mathrm{~K}\).

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