Bohr's model of the atom can be applied to any hydrogen-like ion – ions that have only one electron, such as He+He+ and Li2+.Li2+. Bohr's model proposed that orbitals had discrete energy levels and that the energy of an orbital was related to the nuclear charge, ?.Z. The ground state energies of H,He+, and Li2+H,He+, and Li2+ are given in the table. Atom or ion Z Ground state energy (J) HH 1 −2.179872×10−18−2.179872×10−18 He+He+ 2 −8.719488×10−18−8.719488×10−18 Li2+Li2+ 3 −1.9618848×10−17−1.9618848×10−17 Determine a relationship between the ground-state energy of hydrogen-like systems and ?.Z. Use the relationship to predict the ground state-energy of a B4+B4+ ion.

Chemistry by OpenStax (2015-05-04)
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Chapter6: Electronic Structure And Periodic Properties Of Elements
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Bohr's model of the atom can be applied to any hydrogen-like ion – ions that have only one electron, such as He+He+ and Li2+.Li2+. Bohr's model proposed that orbitals had discrete energy levels and that the energy of an orbital was related to the nuclear charge, ?.Z. The ground state energies of H,He+, and Li2+H,He+, and Li2+ are given in the table.

Atom or ion Z Ground state energy (J)
HH 1 −2.179872×10−18−2.179872×10−18
He+He+ 2 −8.719488×10−18−8.719488×10−18
Li2+Li2+ 3 −1.9618848×10−17−1.9618848×10−17

Determine a relationship between the ground-state energy of hydrogen-like systems and ?.Z. Use the relationship to predict the ground state-energy of a B4+B4+ ion.

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