Skip to main content
Log in

Theoretical analysis of X-ray absorption near-edge structure in forsterite, Mg2SiO4-Pbnm, and fayalite, Fe2SiO4-Pbnm, at room temperature and extreme conditions

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

Abstract

We calculated the forsterite Mg K-edge and the fayalite Fe K-edge X-ray absorption spectra both for the M 1 and M 2 sites and for the overall edge by using the one-electron multiple-scattering theory. The validity of the theoretical model is well illustrated by comparison of calculations with experimental data at the Mg K-edge of MgO (periclase) and at the Mg and Fe K-edges spectra of forsterite and fayalite. Starting from these results at room conditions, we calculated the Mg and Fe K-edges X-ray absorption spectra of forsterite and fayalite at low and high temperatures and at high pressures as well. Variations of fine structures occur mostly in the intermediate multiple scattering (IMS) regions and as a result of the applied pressure. In order to demonstrate the capability of XAS to lead to deeper knowledge of structure relevant to Earth's upper mantle we also attempted calcuating the high-P edge for Fe 2+ in low-spin using a different occupation of valence electrons. If a change in spin state really occurs in fayalite, our simple model shows that XAS would evidence it easily even with low resolution.

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

  • Akaogi M, Ito E, Navrotsky A (1989) Olivine-modified spinel-spinel transitions in the system Mg2SiO4-Fe2SiO4: calorimetric measurements, thermochemical calculation, and geophysical application. J Geophys Res 94:15671–15685

    Google Scholar 

  • Bargeron CB, Avinor M, Drickamer HA (1971) The effect of pressure on the spin state of iron (II) in manganese (IV) sulphide. Inorg Chem 10:1338–1339

    Google Scholar 

  • Bianconi A, Dell'Ariccia M, Gargano A, Natoli CR (1983) Bond length determination using XANES. In: EXAFS and Near Edge Structure. Springer Series in Chem Physics 27:57–61, Springer-Verlag, New York

    Google Scholar 

  • Bragg WL, Brown GB (1926) Die Struktur des Olivins. Z Kristallogr 63:538

    Google Scholar 

  • Calas G, Manceau A, Petiau J (1988) Crystal chemistry of transition elements in minerals through X-ray absorption spectroscopy. In: Synchrotron radiation applications in mineralogy and petrology (S.S. Augustithis, editor) 77–95, Thephrastus Publ., Athens

    Google Scholar 

  • Clementi E, Roetti C (1974) Roothaan-Hartree-Fock atomic wave-functions: basis functions and their coefficients for ground and certain excited states of neutral and ionized atoms, Z≤54. Atom Data Nucl Data Tables 14:177–478

    Google Scholar 

  • Dietrich P, Arndt J (1982) Effects of pressure and temperature on the physical behavior of mantle-relevant olivine, orthopyroxene and garnet: I. Compressibility, thermal properties and macroscopic Grueneisen parameters. In: High-pressure researches in geoscience, pp. 293–306, Schweitzerbart, Stuttgart

    Google Scholar 

  • Durham PJ (1988) X-ray absorption. In: Konigsberger DC, Prins R (eds.) Chemical Analysis 92:72, J. Wiley, New York

    Google Scholar 

  • Durham PJ, Pendry JB, Hodges CH (1982) Calculation of X-ray absorption near-edge structure. XANES, Comput Phys Commun 25:193

    Google Scholar 

  • Fei Y, Mao H-K, Mysen BO (1991) Experimental determination of element partitioning and calculation of phase relations in the MgO-FeO-SiO2 system at high pressure and high temperature. J Geophys Res 96:2157–2169

    Google Scholar 

  • Fujino K, Sasaki Y, Takéuchi Y, Sadanaga R (1981) X-ray determination of electron distributions in forsterite, fayalite and tephroite. Acta Cryst B 37:513–518

    Google Scholar 

  • Gaffney ES, Anderson DL (1973) Effect of low-spin Fe2+ on the composition of the lower mantle. J Geophys Res 78:7005–7014

    Google Scholar 

  • Gonschorek W (1986) Electron density and polarized absorption spectra of fayalite. Phys Chem Minerals 13:337–339

    Google Scholar 

  • Graham EK, Schwab JA, Sopkin SM, Takei H (1988) The pressure and temperature dependence of the elastic properties of singlecrystal fayalite Fe2SiO4. Phys Chem Minerals 16:186–198

    Google Scholar 

  • Hayashi M, Tamura I, Shimomura O, Sawamoto H, Kawamura H (1987) Antiferromagnetic transition of fayalite under high pressure studied by Mössbauer spectroscopy. Phys Chem Minerals 14:341–344

    Google Scholar 

  • Hazen RM (1976) Effects of temperature and pressure on the crystal structure of forsterite. Am Mineral 61:1280–1293

    Google Scholar 

  • Hazen RM (1977) Effects of temperature and pressure on the crystal structure of ferromagnesian olivine. Am Mineral 62: 286–295

    Google Scholar 

  • Hazen RM, Finger LW (1980) Crystal structure of forsterite at 40 kbar. Carnegie Inst Wash Year Book 79: 364–367

    Google Scholar 

  • Horiuchi H, Sawamoto H (1981) α-Mg2SiO4: single crystal X-ray diffraction study. Am Mineral 66:568–575

    Google Scholar 

  • Jackson WE, Brown GE Jr, Waychunas GA, Mustre de Leon J, Conradson SD, Farges J-M (1993) High temperature XAS study of Fe2SiO4: evidence for reduced coordination of ferrous iron in the liquid. Science 262:229–233

    Google Scholar 

  • Jagadeesh MS, Nagarathna HM, Montano PA, Seekra MS (1981) Magnetic and Mössbauer studies of phase transitions and mixed valences in bornite (Cu4.5Fe1.2S4.7). Phys Rev B 23: 2350–2356

    Google Scholar 

  • Krause MO, Oliver JH (1979) Natural widths of atomic K and L levels, K-α X-ray lines and several KLL auger lines. J Phys Chem Ref Data 8:329

    Google Scholar 

  • Kudoh Y, Takeda H (1986) Single crystal X-ray diffraction study on the bond compressibility of fayalite, Fe2SiO4 and rutile, TiO2 under high pressure. Physica 139, 140 B:333–336

    Google Scholar 

  • Kudoh Y, Takéuchi Y (1985) The crystal structure of forsterite Mg2SiO4 under high pressure up to 149 kb. Z Kristallogr 171:291–302

    Google Scholar 

  • Lee PA, Beni G (1977) New method for the calculation of atomic phase shifts: Application to extended X-ray absorption fine structure (EXAFS) in molecules and crystals. Phys Rev B 15: 2862

    Article  CAS  Google Scholar 

  • Lee PA, Pendry JB (1975) Theory of the extended X-ray absorption fine structure. Phys Rev B 11:2795

    Google Scholar 

  • Mattheiss L (1964) Energy bands for the iron transition series. Phys Rev A 134:970

    Google Scholar 

  • Natoli CR, Benfatto M (1986) A unifying scheme of interpretation of X-ray absorption spectra based on the multiple scattering theory. J Phys 45, C 8:11–23 (Paris)

    Google Scholar 

  • Natoli CR, Misemer DK, Doniach S, Kutzler FW (1980) Firstprinciples calculation of X-ray absorption-edge structure in molecular clusters. Phys Rev A 22:1104

    Google Scholar 

  • Natoli CR, Benfatto M, Brouder C, Ruiz Lopez MZ, Foulis DL (1990) Multichannel multiple-scattering theory with general potentials. Phys Rev B 42:1944–1968

    Google Scholar 

  • Norman JG (1974) SCF-X α scattered wave calculation of the electronic structure of Pt(PH3)2O2. Mol Phys 81:1191

    Google Scholar 

  • Penn DR (1987) Electron mean-free-path calculations using a model dielectric function. Phys Rev B 35:482

    Article  CAS  Google Scholar 

  • Robinson K, Gibbs GV, Ribbe PH (1971) Quadratic elongation: a quantitative measure of distortion in coordination polyhedra. Science 172:567–570

    Google Scholar 

  • Rowen M, Rek ZU, Wong J, Tanaka T, George GN, Pickering IJ, Via GH, Brown GE (1993) First XAFS spectra with a YB66 monochromator. Synchro Rad News 6:25–27

    Google Scholar 

  • Santoro RP, Newham RE, Nomura D (1966) Magnetic properties of Mn2SiO4 and Fe2SiO4. J Phys Chem Solids 27:655–666

    Google Scholar 

  • Sasaki S, Prewitt CT, Sato Y, Ito E (1982) Single crystal X-ray study of γ-Mg2SiO4. J Geophys Res 87:7829–7832

    Google Scholar 

  • Schaefer MW (1985) Site occupancy and two-phase character of “ferrifayalite”. Am Mineral 70:729–736

    Google Scholar 

  • Seifert F, Paris E, Dingwell DB, Davoli I, Mottana A (1993) A high-temperature device for in situ measurement of x-ray absorption spectra. Condens Matt Mat Comm 1:115–121

    Google Scholar 

  • Sherman DM (1988) High-spin to low-spin transitions of iron (II) oxides and their possible effect on the physics and chemistry of lower mantle. Adv Phys Geochem 7:113–128

    Google Scholar 

  • Shimomura O, Kawamura T (1982) EXAFS and XANES study under pressure. In: High pressure research in mineral physics (Manghnani MH, Syono Y, eds), 187–193. Terra Sci Publ Co, Tokyo

    Google Scholar 

  • Smyth JR (1975) High temperature crystal chemistry of fayalite. Am Mineral 60:1092–1097

    Google Scholar 

  • Smyth JR, Hazen RM (1977) The crystal structures of forsterite and hortonolite at several temperatures up to 900 °C. Am Mineral 58:588–593

    Google Scholar 

  • Stanek J, Hafner SS, Sawicki JA (1986) Local states of Fe2+ and Mg2+ in magnesium-rich olivines. Am Mineral 71:127–135

    Google Scholar 

  • Takéuchi Y, Yamanaka T, Haga N, Hirano M (1984) High temperature crystallography of olivines and spinels. In: Sunagawa I (ed.). Materials science of Earth's interior, 191–231. Terra Sci Publ Co, Tokyo

    Google Scholar 

  • Tyson TA, Hodgson KO, Natoli CR, Benfatto M (1992) General multiple-scattering scheme for the computation and interpretation of X-ray absorption fine structure in atomic clusters with applications to SF6, GeCl4 and Br2 molecules. Phys Rev B 46:5997–6019

    Google Scholar 

  • Waychunas GA, Brown GE, Apted MJ (1983) X-ray K-edge absorption spectra of Fe minerals and model compounds: near edge structure. Phys Chem Minerals 10:1–9

    Google Scholar 

  • Williams Q, Knittle E, Reichlin R, Martin S, Jeanloz R (1990) Structural and electronic properties of Fe2SiO4-fayalite at ultrahigh pressures: amorphization and gap closure. J Geophys Res 95:21 549–21 563

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Z., Mottana, A., Marcelli, A. et al. Theoretical analysis of X-ray absorption near-edge structure in forsterite, Mg2SiO4-Pbnm, and fayalite, Fe2SiO4-Pbnm, at room temperature and extreme conditions. Phys Chem Minerals 23, 193–204 (1996). https://doi.org/10.1007/BF00220730

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00220730

Keywords

Navigation