Skip to main content
SpringerLink
Log in

Pseudo-symmetries of crystallographic coordination polyhedra. Application to forsterite and comparison with some EPR results

  • Published:
Physics and Chemistry of Minerals Aims and scope Submit manuscript

Abstract

A quantitative analysis of the distortion of octahedral and tetrahedral coordination polyhedra with respect to perfect symmetry in crystal structures is presented. The distortion of a polyhedron is defined by all the fourfold and threefold pseudo-symmetries. Tests on the significance of the pseudo-symmetries are presented. In forsterite the results are compared to ones previously proposed, based on the pseudo-symmetry of fourth order expansion of the crystal field, and also compared to the pseudo-symmetries of the environment of Mn2+ and Gd3+ that were determined by electron paramagnetic resonance (EPR) measurements. Agreements and differences between these results are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bacquet, G., Dugas, J., Escribe, C., Gaite, J.M., Michoulier, J.: Comparative electron paramagnetic resonance study of Fe3+ and Gd3+ ions in monoclinic zirconia. J. Phys. C Solid State Phys. 7, 1551 (1974)

    Article  Google Scholar 

  • Birle, J.D., Gibbs, G.V., Moore, P.B., Smith, J.V.: Crystal structures of natural olivines. Am. Mineral. 53, 807 (1968)

    Google Scholar 

  • Buckmaster, H.A., Chatterjee, R., Shing, Y.H.: The application of tensor operators in the analysis of EPR and ENDOR spectra. Phys. Status. Solid. A:13, 9 (1972)

    Google Scholar 

  • Burns, R.G.: Crystal field spectra and evidence of cation ordering in olivine minerals. Am. Mineral. 55, 1608 (1970)

    Google Scholar 

  • Gaite, J.M.: Etude des Propriétés Locales dans les Cristaux de Basse Symétrie à l'Aide de la RPE d'Ions à l'Etat S. Thesis University of Orleans (this part is not published) (1973)

  • Gaite, J.M.: EPR study of Mn2+ in diopside. J. Phys. C Solid. State Phys. 8, 3887 (1975)

    Article  Google Scholar 

  • Michoulier, J., Gaite, J.M.: Site assignment of Fe3+ in low symmetry crystals. Application to NaAlSi3O8. J. Chem. Phys. 56, 11, 5205 (1972)

    Article  Google Scholar 

  • Walsh, D., Donnay, G., Donnay, J.D.H.: Jahn-Teller effects in ferro-magnesian minerals: Pyroxenes and olivines. Bull. Soc. Fr. Mineral. Cristallogr. 97, 170 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Cristallographie, E.R.A. no 841, Université d'Orléans, F-45046, Orléans-Cedex, France

    J. M. Gaite

Authors
  1. J. M. Gaite
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaite, J.M. Pseudo-symmetries of crystallographic coordination polyhedra. Application to forsterite and comparison with some EPR results. Phys Chem Minerals 6, 9–17 (1980). https://doi.org/10.1007/BF00308389

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00308389

Keywords

Search

Navigation