Why do both ionization energy and electron affinity play a role in estimating the energy of an atomic orbital to use in a molecular orbital calculation?
Added by Eric C.
Step 1
Step 1: Understand that the energy of an atomic orbital in a molecule is influenced by how tightly an electron is held by the atom, which relates to the ionization energy (IE) — the energy required to remove an electron from the atom. Show more…
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One way of estimating the electronegativity of an atom is to use an average of its ionization energy and electron affinity. Why would these two quantities, taken together, be related to electronegativity?
The ionization energy (IE) of an electron from an atom can be estimated according to Koopman's theorem which states that IE ≈ –En, where En is the orbital energy from which the electron is removed. (a) Calculate the ground state ionization energy for Heⁱ, using the simplified energy expression for hydrogenic systems. (b) Without doing any calculations, predict how IE changes in the across the series H, Heⁱ, Li²ⁱ, Be³ⁱ, B⁴ⁱ, C⁵ⁱ, N⁶ⁱ, O⁷ⁱ, F⁸ⁱ and Ne⁹ⁱ. Briefly explain reasoning behind your order.
Sri K.
For both atoms and molecules, ionization energies (Section 7.4) are related to the energies of orbitals: The lower the energy of the orbital, the greater the ionization energy. The first ionization energy of a molecule is therefore a measure of the energy of the highest occupied molecular orbital (HOMO). See the "Chemistry Put to Work" box on Orbitals and Energy. The first ionization energies of several diatomic molecules are given in electron-volts in the following table: $$ \begin{array}{ll} \hline \text { Molecule } & I_{1}(\mathrm{eV}) \\ \hline \mathrm{H}_{2} & 15.4 \\ \mathrm{~N}_{2} & 15.6 \\ \mathrm{O}_{2} & 12.1 \\ \mathrm{~F}_{2} & 15.7 \\ \hline \end{array} $$ (a) Convert these ionization energies to $\mathrm{kJ} / \mathrm{mol}$. (b) On the same plot, graph $I_{1}$ for the $\mathrm{H}, \mathrm{N}, \mathrm{O}$, and $\mathrm{F}$ atoms (Figure 7.11) and $I_{1}$ for the molecules listed. (c) Do the ionization energies of the molecules follow the same periodic trends as the ionization energies of the atoms? (d) Use molecular orbital energy-level diagrams to explain the trends in the ionization energies of the molecules.
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