An excited state electron in He+ first emits a photon with wavelength 25.629 nm when it relaxes to the ground state. The electron subsequently absorbs a second photon with frequency 1.316x1016 Hz which is exactly enough energy to ionize the atom. a) What is the energy of an electron in the 1s orbital of He+?

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For the one electron system He+, the energies of the orbitals depend only on the value of the principle quantum

number n (as is the case in hydrogen) such that we can say ?! = ? Å~ "

!! where ? is a negative constant unique to He+

(? = −2.18 Å~ 10#"$ ? for H). An excited state electron in He+ first emits a photon with wavelength 25.629 nm when it

relaxes to the ground state. The electron subsequently absorbs a second photon with frequency 1.316x1016 Hz which is

exactly enough energy to ionize the atom.

a) What is the energy of an electron in the 1s orbital of He+?

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