Chapter 8. Theory: Periodic Electronic Structure Calculations
- Prof. S. David Jackson,
- Dr. Justin S. J. Hargreaves
Published Online: 26 MAR 2009
DOI: 10.1002/9783527626113.ch8
Copyright © 2009 Wiley-VCH Verlag GmbH & Co. KGaA
Book Title
Metal Oxide Catalysis
Additional Information
How to Cite
Coquet, R., Howard, K. L. and Willock, D. J. (2009) Theory: Periodic Electronic Structure Calculations, in Metal Oxide Catalysis (eds S. D. Jackson and J. S. J. Hargreaves), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527626113.ch8
Editor Information
University of Glasgow, Department of Chemistry, WestCHEM, Joseph Black Building, Glasgow, G12 8QQ, United Kingdom
Publication History
- Published Online: 26 MAR 2009
- Published Print: 15 OCT 2008
ISBN Information
Print ISBN: 9783527318155
Online ISBN: 9783527626113
- Summary
- Chapter
- References
Keywords:
- Hartree–Fock approximation;
- periodic quantum chemistry;
- surface structure calculations;
- oxide surface defects;
- density functional theory;
- band theory
Summary
In this chapter we cover the application of quantum chemistry to gain an understanding of the properties of oxide materials commonly used in catalysis. We begin with the background concepts of Hartree Fock and density function theories concentrating on their treatment of the electron-electron interaction through exchange and correlation energies. The emphasis of this contribution is the use of periodic boundary conditions and so there is then a resume of band theory.
The first set of examples cover oxide materials for which the oxidation state of the metal centers is easily determined. This includes the relative stability of the phases of alumina and its related hydroxides and a comparison of the surface structures of MgO and AI2O3. The stoichiometric surface of TiO2 is also included here.
For reducible oxides, in which electron localisation at transition metal cation sites is possible, we consider the relative merits of hybrid functionals and the DFT+U method drawing on TiO2, MoO3 and CeO2. These methods are shown to be required for a correct description of the defect structures that are known to be important in catalysis.