Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy levels depend only on the principal quantum number n, how many distinct states of singly-ionized helium (Z = 2) have energy E = -13.6 eV? Write out all the quantum numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state energy of hydrogen is E₁ -13.6 eV, and singly-ionized helium may be treated as a hydrogen-like atom.)

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Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy
levels depend only on the principal quantum number n, how many distinct states of
singly-ionized helium (Z = 2) have energy E= -13.6 eV? Write out all the quantum
numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state
energy of hydrogen is E₁ = -13.6 eV, and singly-ionized helium may be treated as a
hydrogen-like atom.)
Transcribed Image Text:Ignoring the fine structure splitting, hyperfine structure splitting, etc., such that energy levels depend only on the principal quantum number n, how many distinct states of singly-ionized helium (Z = 2) have energy E= -13.6 eV? Write out all the quantum numbers (n, l, me, ms) describing each distinct state. (Recall that the ground state energy of hydrogen is E₁ = -13.6 eV, and singly-ionized helium may be treated as a hydrogen-like atom.)
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