Abstract
A series of synthetic Ca-Tschermak–diopside (CaAlAlSiO6–CaMgSi2O6) clinopyroxenes were investigated by powder infrared spectroscopy at room temperature in the wavenumber range 80–2,000 cm−1. Measurable local structural heterogeneities in the crystals are suggested by the line broadening parameter, Δcorr that are observed for intermediate solid-solution compositions. The broadening is most pronounced in the high wavenumber region of the IR spectra that contains stretching modes involving the TO4 polyhedra. The effective line widths for three selected wavenumber regions deviate positively from linear behavior. This is also observed for the enthalpy of mixing of this solid solution. The relationship between “excess Δcorr”, δΔcorr, and heat of mixing, ΔH mix, behavior was investigated for this clinopyroxene series and for several other binary silicate solid solutions. The ΔH mix versus δΔcorr slope values show a linear relationship with respect to the integrated excess volume of the various solid solutions.
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Angel RJ (1994) Feldspars at high pressure. In: Parsons I (ed) Feldspars and their reactions. Kluwer, Dordrecht, pp 271–312
Benisek A, Kroll H, Cemic L, Kohl V, Breit U, Heying B (2003) Enthalpies in (Na,K)- and (K,Ca)-feldspar binaries: a high temperature solution calorimetric study. Contrib Mineral Petrol 145:119–129
Benisek A, Kroll H, Cemic L (2004) New developments in two-feldspar thermometry. Am Mineral 89:1496–1504
Benisek A, Etzel K, Cemic L (2007) Thermodynamic mixing behavior of synthetic Ca-Tschermak–diopside pyroxene solid solutions: II. Heat of mixing and activity-composition relationships. Phys Chem Miner 34:747–755
Boffa Ballaran T, Carpenter MA (2003) Line broadening and enthalpy: some empirical calibrations of solid solution behavior from IR spectra. Phase Transit 76:137–154
Boffa Ballaran T, Woodland AB (2006) Local structure of ferric iron-bearing garnets deduced by IR spectroscopy. Chem Geol 225:360–372
Boffa Ballaran T, Carpenter M, Domeneghetti M, Salje E, Tazzoli V (1998) Structural mechanisms of solid solution and cation ordering in augite-jadeite pyroxenes: II. A microscopic perspective. American Mineralogist 83:434–443
Boffa Ballaran T, Carpenter M, Geiger CA, Koziol A (1999) Local structural heterogeneity in garnet solid solutions. Physics and Chemistry of Minerals 26:554–569
Carpenter MA, Boffa Ballaran T (2001) The influence of elastic strain heterogeneities in silicate solid solutions. In: Geiger CA (ed) Solid solutions in silicate and oxide systems, EMU notes in mineralogy. vol 3. Eötvös University Press, Budapest, pp 155–178
Carpenter MA, McConnell JDC, Navrotsky A (1985) Enthalpies of ordering in the plagioclase solid solution. Geochim Cosmochim Acta 49:947–966
Etzel K, Benisek A, Dachs E, Cemic L (2007) Thermodynamic mixing behavior of synthetic Ca-Tschermak–diopside pyroxene solid solutions: I. Volume and heat capacity of mixing. Phys Chem Miner 34:733–746
Geiger CA (2001) Thermodynamic mixing properties. In: Gramaccioli CM (ed) Energy modelling in minerals, EMU Notes in mineralogy 4. Eötvös University Press, Budapest, pp 347–387
Geiger CA, Kolesov BA (2002) Microscopic-macroscopic relationships in silicates: Examples from IR and Raman spectroscopy and heat capacity measurements. In: Geiger CA (ed) Solid solutions in silicate and oxide systems, EMU notes in mineralogy 3. Eötvös University Press, Budapest, pp 71–100
Geiger CA, Grams M (2003) Cordierite IV: structural heterogeneity and energetics of Mg–Fe solid solutions. Contrib Mineral Petrol 145:752–764
Goldsmith JR, Newton RC (1974) An experimental determination of the alkali feldspar solvus. In: MacDenzie WS, Zussman J (eds) The fedspars. Manchester University Press, Manchester, pp 337–359
Hovis GL (1988) Enthalpies and volumes related to K–Na mixing and Al–Si order/disorder in alkali feldspars. J Petrol 29:731–763
Hovis GL, Delbove F, Roll Bose M (1991) Gibbs energies and entropies of K–Na mixing for alkali feldspars from phase equilibrium data: implications for feldspar solvi and short-range order. Am Mineral 76:913–927
Kandelin J, Weidner DJ (1988) The single-crystal elastic properties of jadeite. Phys Earth Planet Inter 50:251–260
Kroll H, Schmiemann I, Cölln G (1986) Feldspar solid solutions. American Mineralogist 71:1–16
Kroll H, Kotelnikov AR, Göttlicher J, Valyashko EV (1995) (K,Sr)-feldspar solid solutions: the volume behavior of heterovalent feldspars. Eur J Mineral 7:489–499
Levien L, Prewitt CT (1981) High-pressure structural study of diopside. Am Mineral 66:315–323
Malcherek T, Carpenter MA, Kroll H, Salje EKH (1999) Cation ordering in BaAl2Ge2O8-feldspar: implications for the I−1 < - > C−1 phase transition in anorthite. Phys Chem Miner 26:354–366
McMillan PF, Hofmeister AM (1988) Infrared and Raman spectroscopy. Review in Mineralogy: spectroscopic methods in mineralogy and geology. Mineral Soc Am 18:99–159
Meyer HW, Carpenter MA, Becerro AI, Seifert F (2002) Hard-mode infrared spectroscopy of perovskites across the CaTiO3-SrTiO3 solid solution. Am Mineral 87:1291–1296
Newton RC, Charlu TV, Kleppa OJ (1977) Thermochemistry of high pressure garnets and clinopyroxenes in the system CaO–MgO–Al2O3–SiO2. Geochim Cosmochim Acta 41:369–377
Newton RC, Charlu TV, Kleppa OJ (1980) Thermochemistry of high structural state plagioclases. Geochim Cosmochim Acta 44:933–941
Rodehorst U, Carpenter MA, Ballaran TB, Geiger CA (2004) Local structural heterogeneity, mixing behavior and saturation effects in the grossular-spessartine solid solution. Phys Chem Miner 31:387–404
Salje E, Carpenter M, Malcherek T, Boffa Ballaran T (2000) Autocorrelation analysis of infrared spectra from minerals. Eur J Mineral 12:503–519
Tarantino SC, Carpenter MA, Domeneghetti MC (2003) Stain and local heterogeneity in the forsterite–fayalite solid solution. Phys Chem Miner 30:495–502
Wang Z, Shaocheng JI (2001) Elasticity of six polycrystalline silicate garnets at pressure up to 3.0 GPa. Am Mineral 86:1209–1218
Wood BJ, Holland TJB, Newton RC, Kleppa OJ (1980) Thermochemistry of jadeite–diopside pyroxenes. Geochim Cosmochim Acta 44:1363–1371
Zhang M, Wruck B, Graeme BA, Salje EKH (1996) Phonon spectra of alkali feldspars: phase transitions and solid solutions. Am Mineral 81:92–104
Acknowledgments
This work was supported by a grant from the Deutsche Forschungsgemeinschaft CE 20/13-1,2 to L. Cemic, which is gratefully acknowledged. We thank C.A. Geiger for helpful discussions and for reading the manuscript and P. Kluge for technical support.
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Etzel, K., Benisek, A. Thermodynamic mixing behavior of synthetic Ca-Tschermak–diopside pyroxene solid solutions: III. An analysis of IR line broadening and heat of mixing behavior. Phys Chem Minerals 35, 399–407 (2008). https://doi.org/10.1007/s00269-008-0234-6
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DOI: https://doi.org/10.1007/s00269-008-0234-6