Hydrogen atom emission spectra measured from the solar corona indicated that the 4 s orbital was 102823.8530211 cm-1 , and 3 s orbital 97492.221701 cm-1 , respectively, above the 1 s ground state. (These energies have tiny uncertainties, and can be treated as exact numbers for the sake of this problem.) Calculate the difference in energy (J) between these levels on the basis of these data, and compare this difference to that obtained by the Balmer equation in Section 2.1.2 . How well does the Balmer equation work for hydrogen? (Data from Y. Ralchenko, A. E. Kramida, J. Reader, and NIST ASD Team (2011). NIST Atomic Spectra Database (ver. 4.1.0), [Online]. Available: http:// physics.nist.gov/ asd [2012, January 18]. National Institute of Standards and Technology, Gaithersburg, MD.)
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