Skip to main content
Log in

Molecular orbital (SCF-Xα-SW) theory of metal-metal charge transfer processes in minerals

I. application to Fe2+→Fe3+ charge transfer and “electron delocalization” in mixed-valence iron oxides and silicates

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

Abstract

A number of mixed valence iron oxides and silicates (e.g., magnetite, ilvaite) exhibit thermally induced electron delocalization between adjacent Fe2+ and Fe3+ ions and optically induced electronic transitions which are assigned to Fe2+→Fe3+ intervalence charge transfer.

In this paper, the mechanism of electron delocalization (i.e., polarons versus itinerant electrons) and the nature of optically induced intervalence charge-transfer in minerals are investigated using molecular orbital theory. SCF-Xα-SW molecular orbital calculations were done for several mixed-valence (Fe2O10)15− clusters corresponding to edgesharing Fe2+ and Fe3+ coordination polyhedra. A spinunrestricted formalism was used so that the effect of ferromagnetic versus antiferromagnetic coupling of adjacent Fe2+ and Fe3+ cations could be determined. The molecular orbital results can be related to the polaron theory of solid state physics and the perturbation theory formalism used by Robin and Day (1967) and others to describe electron transfer in mixed valence compounds.

Intervalence charge-transfer results from the overlap of Fe(3d) orbitals across the shared edges of adjacent FeO6 polyhedra to give weak Fe-Fe bonds. Electron delocalization, however, requires that adjacent Fe cations be ferromagnetically coupled. Antiferromagnetic coupling results in distinguishable Fe2+ and Fe3+ cations.

Electronic transitions between the Fe-Fe bonding and Fe-Fe antibonding orbitals results in the optically-induced intervalence charge transfer bands observed in the electronic spectra of mixed valence minerals. Such transitions are predicted to be polarized along the metal-metal bond direction, in agreement with experimental observations.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Amthauer G, Rossman GR (1984) Mixed valence of iron in minerals with cation clusters. Phys Chem Minerals 11:37–51

    Google Scholar 

  • Austin IG, Mott NF (1969) Polarons in crystalline and non-crystalline materials. Adv Phys 18:41–102

    Google Scholar 

  • Burns RG (1981) Intervalence transitions in mixed valence minerals of iron and titanium. Ann Rev Earth Planet Sci 9:345–383

    Google Scholar 

  • Burns RG, Nolet DA, Parkin KM, McCammon CA, Schwartz KB (1980) Mixed valence minerals of iron and titanium: correlations of structural, Mossbauer, and electronic spectral data. In Mixed-Valence Compounds, Brown DB, (ed), D. Reidel: Dordrecht, Netherlands, pp 295–336

    Google Scholar 

  • Coey JMD, Mourkarika A, McDonagh CM (1982) Electron hopping in cronstedite. Solid State Commun 41:797–800

    Google Scholar 

  • Coey JMD, Mourkarika A, Ballet O (1982b) Magnetic order in silicate minerals. J Appl Phys 53:8320–8325

    Google Scholar 

  • Cohen-Tanoudji C, Diu B, Laloe F (1977) Quantum Mechanics. p 420 New York: Interscience

    Google Scholar 

  • Evans BJ, Amthauer G (1980) The electronic structure of ilvaite and the pressure and temperature dependence of its 57Fe Mossbauer spectrum. J Phys Chem Solids 41:985–1001

    Google Scholar 

  • Faye GH (1968) The optical absorption spectra of iron in six-coordinated sites in chlorite, biotite, phlogopite and vivianite. Some aspects of pleochroism in the sheet silicates. Can Mineral 15:403–425

    Google Scholar 

  • Ghose S, Sen Gupta PK, Schlemper EO (1985) Electron ordering in ilvaite, a mixed valence iron silicate: crystal structure refinement at 138 K. Am Mineral 70:1248–1252

    Google Scholar 

  • Goodenough JB (1971) Metallic oxides. Prog Solid State Chem 5:1–145

    Google Scholar 

  • Goodenough JB (1980) The Verwey transition revisited. In: Mixed-Valence Compounds. Brown DB (ed) D. Reidel, Dordrecht, Netherlands, 413–425

    Google Scholar 

  • Gubanov VA, Ellis DE (1980) Magnetic transition state approach to antiferromagnetic ordering: NiO. Phys Rev Lett 44:1633–1636

    Google Scholar 

  • Hush NS (1967) Intervalence transfer absorption. Part 2. Theoretical considerations and spectroscopic data. Prog Inorg Chem 8:391–444

    Google Scholar 

  • Hush NS (1980) Electron delocalization, structure and dynamics in mixed-valence systems. In: Mixed Valence Compounds. Brown ED (ed), D. Reidel: Dordrecht, Netherlands, 151–188

    Google Scholar 

  • Johnson KH (1973) Scattered wave theory of the chemical bond. Adv Quantum Chem 7:143–185

    Google Scholar 

  • Kan X, Coey JMD (1985) Mossbauer spectra, magnetic and electrical properties of laihunite, a mixed valence iron olivine mineral. Am Mineral 70:576–580

    Google Scholar 

  • Meyer TJ (1980) Electron transfer in mixed valence compounds. In: Mixed Valence Compounds. Brown DB (ed) D. Reidel, Dordrecht, Netherlands, pp 75–114

    Google Scholar 

  • Moglestue KT (1968) Exchange integrals in magnetite. Neutron inelastic scattering vol. 2, IAEA Symp., Copenhagen, 117–122

  • Norman JG (1976) Non-empirical versus empirical choices for overlapping sphere radii ratios in SCF-Xα-SW calculations on ClO 4 and SO2. Mol Phys 31:1191–1198

    Google Scholar 

  • Pollack H, Quartier R, Bruyneel W (1981) Electron relaxation in deerite. Phys Chem Minerals 7:10–14

    Google Scholar 

  • Robin MB, Day P (1967) Mixed valence chemistry — a survey and classification. Adv Inorg Radiochem 10:247–422

    Google Scholar 

  • Schwarz K (1972) Optimization of the statistical exchange parameter α for the free ions H through Nb. Phys Rev B5:2466–2468

    Google Scholar 

  • Sherman DM (1984) Electronic structures of manganese oxide minerals. Am Mineral 69:788–799

    Google Scholar 

  • Sherman DM (1985) The electronic structures of Fe3+ coordination sites in ion oxides; applications to spectra, bonding and magnetism. Phys Chem Mineral 12:161–175

    Google Scholar 

  • Sherman DM, Waite TD (1985) Electronic spectra of Fe3+ oxides in the near UV to near IR. Am Mineral 70:1262–1269

    Google Scholar 

  • Slater JC (1974) The Self-consistent field method for atoms, molecules and solids. McGraw Hill, New York

    Google Scholar 

  • Smith G (1978) Evidence for absorption by exchange coupled Fe2+-Fe3+ pairs in the near infrared spectra of minerals. Phys Chem Minerals 3:375–385

    Google Scholar 

  • Strens RGJ, Wood BJ (1979) Diffuse reflectance spectra and optical properties of some iron and titanium oxides and oxyhydroxides. Miner Mag 43:347–354

    Google Scholar 

  • Tossell JA (1985) Quantum mechanical models in mineralogy. In: Chemical bonding and Spectroscopy in Mineral Chemistry. Berry FJ, Vaughan DJ (eds) Chapman and Hall, London, pp 1–30

    Google Scholar 

  • Tricker MJ, Vaishnava PP, Manning PG (1981) 57Fe Mossbauer spectroscopic studies of electron hopping processes in vesuvianites. J Inorg Nucl Chem 43:1169–1174

    Google Scholar 

  • Vaughan DJ (1985) Spectroscopy and chemical bonding in the opaque minerals. In: Chemical Bonding and Spectroscopy in Mineral Chemistry. Berry FJ, Vaughan DJ (eds) Chapman and Hall, London, 251–292

    Google Scholar 

  • Wong KY, Schatz PN (1981) A dynamic model for mixed-valence compounds. Prog Inorg Chem 38:369–450

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sherman, D.M. Molecular orbital (SCF-Xα-SW) theory of metal-metal charge transfer processes in minerals. Phys Chem Minerals 14, 355–363 (1987). https://doi.org/10.1007/BF00309810

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00309810

Keywords

Navigation