The hydrogen‑like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light, the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
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Energy of the state S1 in units of the hydrogen atom ground state energy is
S1 = Energy of e of H in ground state ×
= 2.25 × energy of e of H in ground state
The state S1 is
One radial node
– 1 = 1
Or
n = 2
Orbital name = 2s
The orbital angular momentum quantum number of the state S2 is
For S2 = n – – 1
n – = 2
n = 3, = 1
Orbital = 3p ∴ = 1
[ S2 = energy of e of H in ground state ×