Skip to main content
Log in

Thermal expansion of single-crystal forsterite to 1023 K by Fizeau interferometry

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

Abstract

Using a Fizeau interferometry technique, we have measured the coefficients of linear thermal expansion of single-crystal forsterite (Mg2SiO4) along three axial directions to 1023 K during heating and cooling cycles. Overall, the present data are consistent in magnitude (within 1 to 2%) with those previously reported but have less scatter. We used the Grüneisen statistical mechanical approach in analzying the data. The least-squares method was applied to evaluate thermal parameters (ϑ, Q 0, k and a) in two cases. The expansion coefficients in wider temperature ranges were extrapolated by using the parameters of solution 2 (i.e., solution by fixing ϑ and k). In contrast to earlier findings, our results show that for forsterite the Grüneisen parameter decreases with temperature, implying that it does not behave too differently from fayalite (Fe2SiO4) and periclase (MgO).

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

  • Anderson OL (1966) Derivation of Wachtman's equation for the temperature dependence of elastic moduli of oxide compounds. Phys Res 144:553–557

    Google Scholar 

  • Anderson OL, Suzuki I (1983) Anharmonicity of three minerals at high temperature: forsterite, fayalite and periclase. J Geophys Res 88, B4:3549–3556

    Google Scholar 

  • Grüneisen E (1926) State of a Solid Body. NASA Publ No RE 2-18-59W. (Translation from Handbuch der Physik, vol. 10:1–52)

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

    Google Scholar 

  • Kirby RK, Hahn TA, Rothrock BD (1972) Thermal expansion, in American Institute of Physics Handbook. McGraw-Hill, New York, pp 119–142

    Google Scholar 

  • Kohlstedt DL, Goetze C, Durham WB (1976) Experimental deformation of single crystal olivine with application to flow in the mantle, in The Physics and Chemistry of Minerals and Rocks, Strens RGJ, ed, John Wiley, New York, pp 35–49

    Google Scholar 

  • Kumazawa M, Anderson OL (1969) The elastic moduli: Pressure and temperature derivatives of single-crystal olivine and single-crystal forsterite. J Geophys Res 74:5961–5972

    Google Scholar 

  • Manghnani MH, Fisher ES, Brower WS, Jr (1972) Temperature dependence of the elastic constants of single-crystal rutile between 4° and 583° K. J Phys Chem Solids 33:2149–2159

    Google Scholar 

  • Manghnani MH, Matsui T (1981) Temperature dependence of pressure derivatives of single-crystal elastic constants of pure forsterite (abstract), ISPEI Symposium on Properties of Materials at High Pressures and High Temperatures, Toronto, Canada

  • Simmons RO, Balluffi RW (1960a) Measurements of equilibrium vacancy concentrations in aluminum. Phys Rev 117:52–61

    Google Scholar 

  • Simmons RO, Balluffi RW (1960b) Measurement of equilibrium concentration of lattice vacancies in silver near the melting point. Phys Rev 119:600–605

    Google Scholar 

  • Skinner BJ (1962) Thermal expansion of ten minerals. US Geol Surv Prof Paper 450D:109–112

    Google Scholar 

  • Smyth JR, Hazen RM (1973) The crystal structure of forsterite and hortonolite at several temperatures up to 900° C. Am Mineral 58:588–593

    Google Scholar 

  • Stull DR, Prophet H, Eds. (1971) JANF — Thermochemical Table (2nd Ed.). U.S. Dept. Commerce, National Bureau of Standards, Washington, DC

    Google Scholar 

  • Suzuki I (1975) Thermal expansion of periclase and olivine and their anharmonic properties. J Phys Earth 23:145–159

    Google Scholar 

  • Suzuki I, Anderson OL, Takei H (1982) Thermal expansion of single-crystal forsterite, Mg2SiO4. Proceedings of the 8th International Thermal Expansion Symposium, in press

  • Suzuki IE, Ohtani E, Kumazawa M (1979a) Thermal expansion of γ-Mg2SiO4. J Phys Earth 27:53–61

    Google Scholar 

  • Suzuki IS, Okajima S, Seya K (1979b) Thermal expansion of single crystal manganesite. J Phys Earth 27:63–69

    Google Scholar 

  • Wachtman JB Jr, Scudri TG, Gleek GW (1962) Linear thermal expansion of aluminum oxide and thorium oxide from 100 K to 1100 K. J Am Ceram Soc 45:319–323

    Google Scholar 

  • White GK, Roberts RB, Collins JG (1984) Thermal properties and Grüneisen functions of forsterite, Mg2SiO4. Submitted for publication, personal commun

Download references

Author information

Authors and Affiliations

Authors

Additional information

Hawaii Institute of Geophysics Contribution No. 1608

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matsui, T., Manghnani, M.H. Thermal expansion of single-crystal forsterite to 1023 K by Fizeau interferometry. Phys Chem Minerals 12, 201–210 (1985). https://doi.org/10.1007/BF00311289

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00311289

Keywords

Navigation