Question #2476
Calculate the ionization energy of doubly ionized Lithium, which has Z=3. Construct also the energy level diagram for it
Expert's answer
Doubly-ionized lithium is hydrogen-like atom. Atomic ionization energy can be predicted by an analysis using electrostatic potential and the Bohr model of the atom. For this model ionization energy will be:
E= −(Z2 13.6[eV])/n2
where Z - nuclei charge. n - principal quantum number.
So, for Li2+ (Z=3) energy diagram will be something like this:
n=1. E1=-122.4 eV
n=2. E2=-30.6 eV
n=3. E3=-13.6 eV
….....................................
n = infinity E = 0 (vacuum level)
When n=1, corresponded E = 122.4 eV – this is ionization energy for ground state.
E= −(Z2 13.6[eV])/n2
where Z - nuclei charge. n - principal quantum number.
So, for Li2+ (Z=3) energy diagram will be something like this:
n=1. E1=-122.4 eV
n=2. E2=-30.6 eV
n=3. E3=-13.6 eV
….....................................
n = infinity E = 0 (vacuum level)
When n=1, corresponded E = 122.4 eV – this is ionization energy for ground state.
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