The Local Ionization Energy as a Guide to Site Reactivities on Graphenes

  • Jane S. Murray
  • Zenaida Peralta-Inga Shields
  • Peter PolitzerEmail author
Part of the Challenges and Advances in Computational Chemistry and Physics book series (COCH, volume 16)


The average local ionization energy \({\bar{\text{I}}}(\mathbf{r})\) has the very important practical advantage that its minimum values on molecular surfaces, the \({{{\bar{\text{I}}}}_{\text{S,min}}},\) can generally identify the most reactive sites in a system in a single calculation, that encompasses all possible sites. The \({{{\bar{\text{I}}}}_{\text{S,min}}}\) can also, in many instances, rank these sites. Our analyses have shown interaction energies for hydrogenation at interior carbons of defect-containing model graphenes correlate with the \({{{\bar{\text{I}}}}_{\text{S,min}}}\) at these sites. Furthermore, we are able to show a relationship between the magnitude of the lowest interior \({{{\bar{\text{I}}}}_{\text{S,min}}}\) within each member of a series of pristine and defect-containing graphene models and the corresponding hydrogenation energies. A limitation of \({\bar{\text{I}}}(\mathbf{r})\) that must be recognized is that it corresponds to the system prior to interaction, and cannot reflect factors that may accompany or follow it. Such factors may reinforce or oppose the predictions from the \({\bar{\text{{I}}}_{\text{S,min}}}.\) Considerable experience has shown, however, that the \({{{\bar{\text{I}}}}_{\text{S,min}}}\) can generally identify satisfactorily at least the most reactive sites—and can often rank the next ones as well.


Site reactivities Average local ionization energies Pristine and defect-containing graphene models Hydrogenation energies 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Jane S. Murray
    • 1
    • 2
  • Zenaida Peralta-Inga Shields
    • 1
  • Peter Politzer
    • 1
    • 2
    Email author
  1. 1.CleveTheoCompClevelandUSA
  2. 2.Department of ChemistryUniversity of New OrleansNew OrleansUSA

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