Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-27T04:50:44.325Z Has data issue: false hasContentIssue false

Chemical Bonding Effects in X-Ray Emission Spectra - A Molecular Orbital Model

Published online by Cambridge University Press:  06 March 2019

David S. Urch*
Affiliation:
Chemistry Department, Queen Mary College, Mile End Road, London, E. I., England
Get access

Abstract

Molecules or ions usually exist as discrete units, in crystals of chemical compounds. Intermolecular or interionic coValent interactions are slight so the bond structure of such, solids is very similar to the pattern of energy levels in each individual molecule or ion. Simple molecular orbital theory can therefore be used to generate a qualitative picture of the energy levels in a molecule or an ion; and this picture can then be used directly to interpret X-ray emission spectra. The application of molecular orbital theory, using group theory to simplify the calculations is described for a tetrahedral unit ML4. The origin of peak shifts and of low-energy satellite peaks are rationalised. A consideration of orbital amplitudes shows that the ‘cross-over' theory of O'Brien and Skinner cannot explain the observed intensities of low-energy satellite peaks. It is suggested that the use of the M. 0. model for the interpretation of X-ray emission spectra permits far greater analytical and structural use to be made of peak shift and satellite data. Ligands can be identified even when their own characteristic emissions are not detected (e.g. oxygen and fluorine). Relative peak intensities can be correlated with atomic orbital participation in bond formation. Such information is of great interest to chemists and can often be used to identify the bonding r61e of specific orbitals (e.g. the 3d orbitals of second row, main group, elements).

Type
Research Article
Copyright
Copyright © International Centre for Diffraction Data 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

O'Brien, C.H.M. and Skinner, H.W.B.The Soft X- ray Spectroscopy of Solids. II Emission Spectra from Simple Chemical Compounds,” Proc. Roy. Soc. A176, 229 (1940).Google Scholar
Rooke, G.A.Plasmon Satellites of Soft X- ray Emission SpectraPhys. Lett. 3, 234 (1963).Google Scholar
White, E.W. and Gibbs, G.V., “Structural and Chemical Effects on the SiKβ X- ray line for silicates”, Amer. Mineral 52, 985 (1967).Google Scholar
White, E.W. and Gibbs, G.V.Structural and chemical effects on the Al Kβ X- ray emission band among aluminium containing silicates and aluminium oxides”. Amer. Mineral, 54, 931 (1969).Google Scholar
Day, D.E., “Determining the Coordination Number of Aluminium Ions by X- ray Emission Spectroscopy”, Nature 200, 649 (1963).Google Scholar
Pople, J.A., “The molecular-orbital and equivalent orbital approach to Molecular StructureQuart. Rev. of Chem. Soc. 11, 273 (1957).Google Scholar
Urch, D.S., “Orbitals and Symmetry”, Penguin Education Ltd., London U.K. 1970.Google Scholar
Roberts, J.D., “Molecular Orbital CalculationsBenjamin Inc. New York, 1962.Google Scholar
Urch, D.S.The origin and intensities of low energy satellite lines in X- ray emission spectra: a molecular orbital model”, J. of Physics, C, State Physics 3 (1970).Google Scholar
Fischer, D.W., “Soft X- ray Spectroscopy, chemical bonding and valence state- non-metals”. Advances in X- ray Analysis, Vol. 13. Plenum Press, 1970.Google Scholar
Eyring, H., Walter, J. and Kimball, G. E., “Quantum Chemistry”, J. Wiley, New York, 1944.Google Scholar
Fomichev, V.A., Investigation of the Energy Structure of Al and Al2O3 by the Method of Ultra-Soviet Physics-Solid State (Eng.trans.) 8., 2312 (1967).Google Scholar
Ershov, O.A., Goganov, D.A. and Lukirskii, A.P.X- ray Spectra of Silicon in Crystalline and Glassy Quartz and in Lithium Silicate Glasses”. Soviet Physics-Solid State (Eng.trans.) 7, 1903 (1966).Google Scholar
Urch, D.S.Pi-bonding in Tetrahedral MoleculesJ.Chem.Educ. 41, 502 (1964).Google Scholar
Webster, B., “Valence Orbital Energies of some Second row Elements in Excited Configuration. J.Chem.Soc. A, 1968, 2909.Google Scholar
Henke, B., “Application of Multilayer Analysers to 15-150 Å; Fluorescence Spectroscopy for Chemical and Valence Band Analysis”. Advances in X- ray Analysis, Vol. 9, Plenum Press, 1965, p.430439.Google Scholar
Urch, D. S.Direct Evidence for 3d-2p π-bonding in Osy-anions”. J. Chem. Soc. A1969, 3026.Google Scholar
Jaffe, H.H.The Energies of Electrons in Atoms”. J.Chem.Ed., 33, 25 (1956).Google Scholar
Moore, CE.Tables of Atomic Energy Levels”, N.B.S. Circular 467. U.S. Gov. Print. Office, Washington, D.C. 1949-1952.Google Scholar
Fischer, D.W. and Baun, W. L.The influences of Chemical Combination and Sample Self Absorption on some long wavelength X- ray Emission Spectra”. Norelco Reporter, 14, 92 (1967).Google Scholar
Schnell, E., “Zur Rontgen fluoreszenzanalyse, 3 Mitt Die Anderung der relativen Intensitaten der K Strahlung der Elemente Swrefel Phosphor Silicium und Aluminium bei Verbindungsbildung”. Monats. fur Chemie 94, 703 (1963).Google Scholar
Schnell, E., “Zur Rontgen fluoreszenzanalyse, 1 Mitt Die Intensitatsverhavltnisse der K linen des Rontgenspektrums von Chlor in Abhangigkeit von der chemischen Bindung”. Monats fur Chemie 93., 1383 (1962).Google Scholar
Mendel, H., “A Theoretical Intepretation of Satellite Lines in the X- ray k-emission Spectra of CompoundsKoninkl, Ned. Akad. van Wetenschappen, 70B, 276 (1967).Google Scholar
Lawrence, D.F. and Urch, D.S. “Low Energy Satellites in the X- ray Fluorescence Spectra of Fluoro-Anions”. Spectrochimica Acta, in press (1970).Google Scholar