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Thermal diffusivity of quartz to 1,000°C: effects of impurities and the α-β phase transition

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Abstract

Lattice thermal diffusivities of eleven orientated natural and synthetic quartz samples were measured using a laser-flash apparatus (LFA). For α-quartz, thermal diffusivity (D) decreases with temperature, so that directionally averaged values of D(T) between 20° and 500°C can be fit with D(T) = 1/(0.0017T + A), where A varies from 0.12 to 0.18 among the samples and D is in mm2/s. For β-quartz, D decreases very slightly or is constant with temperature. Values of D measured along [001] exceed those measured along [100] at all temperatures studied. A sharp decrease of D(T) marks the α-β phase transition, consistent with correlation of 1/D with C P in the damped harmonic oscillator model. Due to the rapidity of the laser-pulse and the dynamic nature of the measurements, the raw data show evidence of latent heat being released at the transition temperature over ∼50 ms. D(T) values within 10 K of the transition are affected both by latent heat release and by the phase change. For our suite of samples, D at all temperatures varies by ±7% from the overall average. This range is outside the 2% experimental uncertainty. To ascertain causes of D variations, we characterized out samples using infrared absorption spectroscopy, electron microprobe analyses and secondary ion mass spectrometry. Differences between the samples seem to result from the interplay of different impurity types: cations that replace Si in the silicate tetrahedra, cations squeezing into the lattice, and OH. Although limitations in quantifying amounts of trace impurities and poor understanding of where impurities reside in the lattice hamper interpretation, it seems that samples containing more substitutional impurities (e.g., Al3+) have higher diffusivities along [001], those with more interstitial defects (e.g., Li+) have higher diffusivities along [100], and that OH reduces D.

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References

  • Aines RD, Rossman GR (1984) Water in minerals? A peak in the infrared. J Geophys Res 89:4059–4071

    Google Scholar 

  • Beck AE, Darbha DM, Schloessin HH (1978) Lattice conductivities of single-crystal and polycrystalline materials at mantle pressures and temperatures. Phys Earth Planet Inter 17:35–53

    Article  Google Scholar 

  • Blumm J, Opfermann J (2002) Improvement of the mathematical modeling of flash measurements. High Temp High Pres 34:515–521

    Article  Google Scholar 

  • Branlund JM, Kameyama M, Yuen DA, Kaneda Y (2000) Effects of temperature-dependent thermal diffusivity on shear instability in a viscoelastic zone: implications for faster ductile faulting and earthquakes in the spinel stability field. Earth Planet Sci Lett 182:171–185

    Article  Google Scholar 

  • Burns G (1990) Solid state physics. Academic, London, pp 407–441

  • Cowan RD (1963) Pulse method of measuring thermal diffusivity at high temperatures. J Appl Phys 34:926–927

    Article  Google Scholar 

  • Danielson GC, Sidles PH (1969) Thermal diffusivity and other non-steady-state methods. In: Tye RP (eds) Thermal conductivity, vol 2. Academic, London, pp 149–199

    Google Scholar 

  • Degiovanni A, Andre S, Maillet D (1994) Phonic conductivity measurement of a semi-transparent material. In: Tong TW (ed) Thermal conductivity. Themnomic, Lancaster, pp 623–633

    Google Scholar 

  • Dubuffet F, Yuen DA, Rabinowicz M (1999) Effects of a realistic mantle thermal conductivity on the patterns of 3-D convection. Earth Planet Sci Lett 171:401–409

    Article  Google Scholar 

  • Flem B, Larsen RB, Grimstvedt A, Mansfeld J (2002) In situ analysis of trace elements in quartz by using laser ablation inductively coupled plasma mass spectroscopy. Chem Geol 182:237–247

    Article  Google Scholar 

  • Floss C, James OB, McGee JJ, Crozaz G (1998) Lunar ferroan anorthosite petrogenesis: clues from trace element distributions in FAN subgroups. Geochim Cosmochim Acta 62:1255–1283

    Article  Google Scholar 

  • Ghiorso MS, Carmichael ISE, Moret LK (1979) Inverted high-temperature quartz. Contrib Minal Petrol 68:307–323

    Article  Google Scholar 

  • Götze J, Plötze M (1997) Investigation of trace-element distribution in detrital quartz by electron paramagnetic resonance (EPR). Eur J Miner 9:529–537

    Google Scholar 

  • Götze J, Plötze M, Graupner T, Hallbauer DK, Bray CJ (2004) Trace element incorporation into quartz: a combined study by ICP-MS, electron spin resonance, cathodoluminescence, capillary ion analysis, and gas chromatography. Geochim Cosmochim Acta 68:3741–3759

    Article  Google Scholar 

  • Heaney P (1994) Structure and chemistry of low-pressure silica polymorphs. In: Heaney PJ, Prewitt CT, Gibbs VV (eds) Silica: physical behavior, geochemistry and materials applications. Rev Miner 29:1–40

  • Höfer M, Schilling FR (2002) Heat transfer in quartz, orthoclase, and sanidine at elevated temperatures. Phys Chem Miner 29:571–584

    Article  Google Scholar 

  • Hofmeister AM (1999) Mantle values of thermal conductivity and the geotherm from phonon lifetimes. Science 283:1699–1706

    Article  Google Scholar 

  • Hofmeister AM (2006) Thermal diffusivity of garnets at high temperature. Phys Chem Miner 33:45–62

    Article  Google Scholar 

  • Hofmeister AM (2007) Pressure dependence of thermal transport properties. Proc Natl Acad Sci USA 104:9192–9197

    Article  Google Scholar 

  • Hofmeister AM, Pertermann M, Branlund, JM (2007) Chapter 48. Thermal conductivity of the Earth. In: Schubert GS (ed) Treatise on geophysics. Elsevier, London, (in press)

  • Horai K (1971) Thermal conductivity of rock-forming minerals. J Geophys Res 76:1278–1308

    Google Scholar 

  • Kanamori H, Fujii N, Mizutani H (1968) Thermal diffusivity measurement of rock-forming minerals from 300 to 1100 K. J Geophys Res 73:595–605

    Google Scholar 

  • Kats A (1962) Hydrogen in alpha-quartz. Philips Res Rep 17:133–279

    Google Scholar 

  • Kronenberg, AK (1994) Hydrogen speciation and chemical weakening of quartz. In: Heaney PJ, Prewitt CT, Gibbs VV (eds) Silica: physical behavior, geochemistry and materials applications. Rev Miner 29:123–176

  • Lee DW, Kingery WD (1960) Radiation energy transfer and thermal conductivity of ceramic oxides. J Am Ceramic Soc 43:594–607

    Article  Google Scholar 

  • Lees NS, Walsby CJ, Williams JAS, Weil JA, Claridge RFC (2003) EPR of a hydrogen/ double-lithium centre in α-quartz. Phys Chem Miner 30:131–141

    Article  Google Scholar 

  • Mehling H, Hautzinger G, Nilsson O, Fricke J, Hofmann R, Hahn O (1998) Thermal diffusivity of semitransparent materials determined by the laser-flash method: applying a new analytical model. Int J Thermophys 19:941–949

    Article  Google Scholar 

  • Mirkovich VV (1968) Experimental study relating thermal conductivity to thermal piercing of rocks. Int J Rock Mech Min Sci 5:205–218

    Article  Google Scholar 

  • Müller A, Wiedenbeck M, van der Kerkof AM, Kronz A, Simons K (2003) Trace elements in quartz—a combined electron microprobe, secondary ion mass spectrometry, laser-ablation ICP-MS, and cathodoluminescence study. Eur J Miner 15: 747–763

    Article  Google Scholar 

  • Navrotsky A (1994) Thermochemistry of crystalline and amorphous silica. In: Heaney PJ, Prewitt CT, Gibbs VV (eds) Silica: physical behavior, geochemistry and materials applications. Rev Miner 29:309–329

  • Parker WJ, Jenkins RJ, Butler CP, Abbott GL (1961) Flash method for determining thermal diffusivity, heat capacity and thermal conductivity. J Appl Phys 32:1679–1684

    Article  Google Scholar 

  • Pertermann M, Hofmeister AM (2006) Thermal diffusivity of olivine-group minerals at high temperature. Am Miner 91:1747–1761

    Article  Google Scholar 

  • Ratcliffe EH (1959) Thermal conductivities of fused and crystalline quartz. Br J Appl Phys 10: 22–25

    Article  Google Scholar 

  • Ross RG, Andersson P, Sundqvist B, Bäckström G (1984) Thermal conductivity of solids and liquids under pressure. Rep Prog Phys 47:1347–1402

    Article  Google Scholar 

  • Roufosse MC, Klemens PG (1974) Lattice thermal conductivity of minerals at high temperatures. J Geophys Res 79:703–705

    Article  Google Scholar 

  • Schilling FR (1999) A transient technique to measure thermal diffusivity at elevated temperatures. Eur J Miner 11:1115–1124

    Google Scholar 

  • Speyer RF (1994) Thermal analysis of materials. Marcel Dekker, New York, pp 227–251

    Google Scholar 

  • Stegger P, Lehmann G (1989) The structures of three centers of trivalent iron in α-quartz. Phys Chem Miner 16:401–407

    Article  Google Scholar 

  • Stenina NG (2004) Water-related defects in quartz. Br Geosci 79:251–268

    Google Scholar 

  • Touloukian YS, Powell RW, Ho CY, Nicolaou MC (1973) Thermal diffusivity. (Thermophysical properties of matter Vol. 10) IFI/Plenum, New York, pp 396–398

  • Tucker MG, Keen DA, Dove MT (2001) A detailed structural characterization of quartz on heating through the α-β phase transition. Miner Mag 65:486–507

    Article  Google Scholar 

  • Walsby CJ, Lees NS, Claridge RFC, Weil JA (2003) The magnetic properties of oxygen-hole aluminum centres in crystalline SiO2. IV: a stable AlO4/Li centre. Can J Phys 81:583–598

    Article  Google Scholar 

  • Weil JA (1984) A review of electron spin spectroscopy and its application to the study of paramagnetic defects in crystalline quartz. Phys Chem Miner 10:149–165

    Article  Google Scholar 

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Acknowledgments

Many thanks to Dr. C. Floss for analyzing our samples on the Cameca IMS 3f SIMS at the Laboratory for Space Sciences at Washington University in St. Louis, Dr. G. Benedix for help in electron microprobe facility, J. A. Weil and K. Gratz for their reviews, M. Pertermann for additional comments, and for the gracious funding from NSF grant EAR−0440088.

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Correspondence to Joy M. Branlund.

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Branlund, J.M., Hofmeister, A.M. Thermal diffusivity of quartz to 1,000°C: effects of impurities and the α-β phase transition. Phys Chem Minerals 34, 581–595 (2007). https://doi.org/10.1007/s00269-007-0173-7

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  • DOI: https://doi.org/10.1007/s00269-007-0173-7

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