Abstract
An in situ single-crystal high-temperature X-ray diffraction study was performed on clinopyroxene crystals along the jadeite, (NaAlSi2O6 Jd)–diopside (CaMgSi2O6 Di) join. In particular, natural samples of jadeite, diopside, P2/n omphacite and three C2/c synthetic samples with intermediate composition (i.e., Jd80, Jd60, Jd40) were investigated. In order to determine the unit-cell volume thermal expansion coefficient (α V), the unit-cell parameters for all these compositions have been measured up to c.a. 1,073 K. The evolution of the unit-cell volume thermal expansion coefficient (α V) along the Jd–Di join at different temperatures has been calculated by using a modified version of the equation proposed by Holland and Powell (J Metamorph Geol 16(3):309–343, 1998). The equation \( a_{{{\text{V}}\;(303{\text{K}},1{\text{bar}})}} = 2.68(3) \times 10^{ - 5} + [1.1\left( 1 \right) \times 10^{ - 8} \times X_{\text{Jd}} ] - [7.1\left( {1.7} \right) \times 10^{ - 10} \times X_{\text{Jd}}^{2} ] \) obtained from the α V at room-T (i.e., α V303K,1bar) allows us to predict the room-T volume thermal expansion for Fe-free C2/c clinopyroxenes with intermediate composition along the binary join Jd-Di. The observed α V value for P2/n omphacite α V(303K,1bar) = 2.58(5) × 10−5 K−1 was compared with that recalculated for disordered C2/c omphacite published by Pandolfo et al. (Phys Chem Miner 1–10, 2012) [α V(303K,1bar) = 2.4(5) × 10−5 K−1]. Despite the large e.s.d.’s for the latter, the difference of both values at room-T is small, indicating that convergent ordering has practically no influence on the room-T thermal expansion. However, at high-T, the smaller thermal expansion coefficient for the C2/c sample with respect to the P2/n one with identical composition could provide further evidence for its reduced stability relative to the ordered one.
Similar content being viewed by others
References
Alvaro M, Nestola F, Ballaran TB, Cámara F, Domeneghetti MC, Tazzoli V (2010) High-pressure phase transition of a natural pigeonite. Am Mineral 95(2–3):300–311. doi:10.2138/am.2010.3175
Alvaro M, Cámara F, Domeneghetti M, Nestola F, Tazzoli V (2011a) HT P21/c–C2/c phase transition and kinetics of Fe2+–Mg order–disorder of an Fe-poor pigeonite: implications for the cooling history of ureilites. Contrib Mineral Petrol 162(3):599–613
Alvaro M, Nestola F, Cámara F, Domeneghetti MC, Tazzoli V (2011b) High-pressure displacive phase transition of a natural Mg-rich pigeonite. Phys Chem Minerals 38(5):379–385
Anderson OL, Isaak D, Oda H (1992) High-temperature elastic constant data on minerals relevant to geophysics. Rev Geophys 30(1):57–90
Angel RJ, Gonzalez-Platas J, Alvaro M (2014) EosFit7c and a Fortran module (library) for equation of state calculations. Z Kristallogr 229:405–419
Berman RG (1988) Internally-consistent thermodynamic data for minerals in the system Na2O–K2O–CaO–MgO–FeO–Fe2O3–Al2O3–SiO2–TiO2–H2O–CO2. J Petrol 29(2):445–522
Blessing RH (1995) An empirical correction for absorption anisotropy. Acta Crystallogr Sect A 51(1):33–38
Blundy J, Wood B (1994) Prediction of crystal–melt partition coefficients from elastic moduli. Nature 372(6505):452–454
Boffa Ballaran T (2003) Line broadening and enthalpy: some empirical calibrations of solid solution behaviour from IR spectra. Phase Transit A Multinatl J 76(1–2):137–154
Boffa Ballaran T, Carpenter MA, Domeneghetti MC, Tazzoli V (1998) Structural mechanisms of solid solution and cation ordering in augite–jadeite pyroxenes. I. A macroscopic perspective. Am Mineral 83(5–6):419
Cámara F, Carpenter MA, Domeneghetti MC, Tazzoli V (2003) Coupling between non-convergent ordering and transition temperature in the C2/c ⟷ P21/c phase transition in pigeonite. Am Mineral 88(7):1115–1128
Cámara F, Gatta GD, Meven M, Pasqual D (2012) Thermal expansion and high temperature structure evolution of zoisite by single-crystal X-ray and neutron diffraction. Phys Chem Mineral 39(1):27–45
Cameron M, Sueno S, Prewitt CT, Papike JJ (1973) High-temperature crystal chemistry of acmite, diopside, hedenbergite, jadeite, spodumene, and ureyite. Am Mineral 58:594–618
Cannillo E, Germani G, and Mani F, (1983) Nuovo software cristallografico per il diffrattometro a cristallo singolo Philips PW1100 (New crystallographic software for Philips PW1100 single crystal diffractometer) Internal Report 2 C.N.R. Centro di Studio per la Cristallografia Strutturale
Carpenter MA (1979) Omphacites from Greece, Turkey, and Guatemala; composition limits of cation ordering. Am Mineral 64(1–2):102–108
Carpenter MA (2002): Microscopic strain, macroscopic strain and the thermodynamics of phase transitions in minerals. In Gramaccioli CM (ed) Energy modelling in minerals. EMU Notes Mineral, 4. Eötvös University Press, Budapest, pp 311–346
Carpenter MA, Domeneghetti MC, Tazzoli V (1990) Application of Landau Theory to Cation Ordering in Omphacite .1. Equilibrium Behavior. Eur J Mineral 2 (1):7–18
Carpenter MA, Ballaran TB, Atkinson A (1999) Microscopic strain, local structural heterogeneity and the energetics of silicate solid solutions. Phase Transit A Multinatl J 69(1):95–109
Domeneghetti M, Fioretti A, Cámara F, McCammon C, Alvaro M (2013) Thermal history of nakhlites: a comparison between MIL 03346 and its terrestrial analogue Theo’s flow. Geoch Cosmoch Acta 121:571–581
Fei Y (1995) Thermal expansion. In: Mineral physics & crystallography: a handbook of physical constants. American Geophysical Union, pp. 29–44
Ferrari S, Nestola F, Massironi M, Maturilli A, Helbert J, Alvaro M, Domeneghetti MC, Zorzi F (2014) In-situ high-temperature emissivity spectra and thermal expansion of C2/c pyroxenes: implications for the surface of Mercury. Am Mineral 99(4):786–792
Finger LW, Ohashi Y (1976) The thermal expansion of diopside to 800 °C and a refinement of the crystal structure at 700 °C. Am Mineral 61:303–310
Gatta GD, Comboni D, Alvaro M, Lotti P, Cámara F, Domeneghetti MC (2014) Thermoelastic behavior and dehydration process of cancrinite. Phys Chem Mineral 41(5):373–386
Gottschalk M (1997) Internally consistent thermodynamic data for rock-forming minerals in the system SiO2–TiO2–Al2O3–CaO–MgO–FeO–K2O–Na2O–H2O–CO2. Eur J Mineral 9(1):175–223
Gottschalk M (2004) Thermodynamic properties of zoisite, clinozoisite and epidote. Rev Mineral Geochem 56:83–124
Hawthorne FC, Ungaretti L, Oberti R (1995) Site populations in minerals; terminology and presentation of results of crystal-structure refinement. Can Mineral 33(4):907–911
Holland TB (1990) Activities of components in omphacitic solid solutions. Contrib Mineral Petrol 105(4):446–453
Holland TJB, Powell R (1998) An internally consistent thermodynamic data set for phases of petrological interest. J Metamorph Geol 16(3):309–343
Holland TJB, Powell R (2011) An improved and extended internally consistent thermodynamic dataset for phases of petrological interest, involving a new equation of state for solids. J Metamorph Geol 29(3):333–383
Hunt SA, Walker AM, McCormack RJ, Dobson DP, Wills AS, Li L (2011) The effect of pressure on thermal diffusivity in pyroxenes. Mineral Mag 75(5):2597–2610
Knight KS (1996) A neutron powder diffraction determination of the thermal expansion tensor of crocoite (PbCrO4) between 60 K and 290 K. Mineral Mag 60:9
Mantovani L, Tribaudino M, Mezzadri F, Calestani G, Bromiley G (2013) The structure of (Ca, Co)CoSi2O6 pyroxenes and the Ca-M2+ substitution in (Ca, M2+)M2+ Si2O6 pyroxenes (M2+ = Co, Fe, Mg). Am Mineral 98:241–1252
Nestola F, Ballaran TB, Liebske C, Thompson R, Downs RT (2008) The effect of the hedenbergitic substitution on the compressibility of jadeite. Am Mineral 93(7):1005–1013
Nishihara Y, Matsukage KN, Karato SI (2006) Effects of metal protection coils on thermocouple EMF in multi-anvil high-pressure experiments. Am Mineral 91(1):111–114
Pandolfo F, Nestola F, Cámara F, Domeneghetti MC (2012) New thermoelastic parameters of natural C2/c omphacite. Phys Chem Miner 39:295–304
Pavese A, Bocchio R, Ivaldi G (2000) In situ high temperature single crystal X-ray diffraction study of a natural omphacite. Mineral Mag 64(6):983–993
Pawley AR, Redfern SAT, Holland TJB (1996) Volume behavior of hydrous minerals at high pressure and temperature: I Thermal expansion of lawsonite, zoisite, clinozoisite, and diaspore. Am Mineral 81(3):335–340
Pouchou JL, Pichoir F (1991) Quantitative analysis of homogeneous or stratified microvolumes applying the model “PAP”. In: Electron probe quantitation, pp 31–75
Redhammer GJ, Cámara F, Alvaro M, Nestola F, Tippelt G, Prinz S, Simons J, Roth G, Amthauer G (2010) Thermal expansion and high-temperature P2 1/c–C2/c phase transition in clinopyroxene-type LiFeGe2O6 and comparison to NaFe(Si, Ge)2O6. Phys Chem Miner 37(10):685–704
Richet P, Mysen BO, Ingrin J (1998) High-temperature X-ray diffraction and Raman spectroscopy of diopside and pseudowollastonite. Phys Chem Miner 25(6):401–414
Sheldrick GM (1996) Sadabs. University of Göttingen Germany
Sheldrick GM (2008) A short history of SHELX. Acta Crystallogr Sect A 64:112–122
Tribaudino M (1996) High-temperature crystal chemistry of C2/c clinopyroxenes along the join CaMgSi2O6–CaAl2SiO6. Eur J Mineral 8(2):273–279
Tribaudino M, Mantovani L (2014) Thermal expansion in C2/c pyroxenes: a review and new high temperature structural data on a pyroxene of composition (Na0.53Ca0.47)(Al0.53Fe0.47)Si2O6 (Jd53Hd47). Mineral Mag 78:311–324
Tribaudino M, Nestola F, Cámara F, Domeneghetti MC (2002) The high-temperature P21/c–C2/c phase transition in Fe-free pyroxene (Ca0.15Mg1.85Si2O6): Structural and thermodynamic behavior. Am Mineral 87(5–6):648–657
Tribaudino M, Nestola F, Bruno M, Ballaran TB, Liebske C (2008) Thermal expansion along the NaAlSi2O6–NaFe3+Si2O6 and NaAlSi2O6–CaFe2+Si2O6 solid solutions. Phys Chem Miner 35(5):241–248
Tribaudino M, Angel RJ, Cámara F, Nestola F, Pasqual D, Margiolaki I (2010) Thermal expansion of plagioclase feldspars. Contrib Mineral Petrol 160:899–908
van Westrenen W, Wood B, Blundy J (2001) A predictive thermodynamic model of garnet-melt trace element partitioning. Contrib Mineral Petrol 142(2):219–234
van Westrenen W, Allan NL, Blundy JD, Lavrentiev MY, Lucas BR, Purton JA (2003) Trace element incorporation into pyrope–grossular solid solutions: an atomistic simulation study. Phys Chem Miner 30(4):217–229. doi:10.1007/s00269-003-0307-5
Wilson AJC (1995) International tables for crystallography. Volume C. Kluwer, Dordrecht
Yang H, Prewitt CT (2000) Chain and layer silicates at high temperatures and pressures. Rev Mineral Geochem 41(1):211–255
Zhao Y, Von Dreele RB, Shankland TJ, Weidner DJ, Ianzhong Zhang J, Wang Y, Gasparik T (1997) Thermoelastic equation of state of jadeite NaAlSi2O6: an energy-dispersive Reitveld refinement study of low symmetry and multiple phases diffraction. Geophys Res Lett 24(1):5–8
Acknowledgments
Roberto Gastoni CNR-Pavia is thanked for sample preparation for EMPA analyses, and R. Carampin of CNR Padova is thanked for help with the WDS electron microprobe facilities. M.C. Domeneghetti was funded by the Italian grant PRIN EARRRZ_005 (2010); M. Alvaro was funded by ERC starting Grant No. 307322 to F. Nestola; and F. Cámara was supported by “Progetti di ricerca finanziati dall’Università degli Studi di Torino (ex 60 %)”—year 2012. The experimental studies in Karato's lab were partially supported by grants from NSF.
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Pandolfo, F., Cámara, F., Domeneghetti, M.C. et al. Volume thermal expansion along the jadeite–diopside join. Phys Chem Minerals 42, 1–14 (2015). https://doi.org/10.1007/s00269-014-0694-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00269-014-0694-9